refinement_stepper: compatibility views are kept on purpose (comment only)

The views and the PeriodicPatchStepper alias stay for the existing tests and docs (about 130 references); the comment no longer says REMOVE AFTER. No code change. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
docs: supported settings cite guards by file and symbol at 888c8038
2026-10-22 02:26:24 +00:00 · 2026-10-22 02:24:37 +00:00 · 2026-10-22 02:03:28 +00:00 · 2026-10-22 01:46:49 +00:00 · 2026-10-22 01:32:42 +00:00 · 2026-10-22 01:32:40 +00:00
113 changed files with 7284 additions and 1391 deletions
@@ -112,8 +112,9 @@ from CelerisLab.lbm.refinement_stepper import FixedPatchStepper
 cfg = LBMConfig(nx=32, ny=24, viscosity=.1)
 body = SimObject(0, geometry=CircleGeometry(16.0, 12.0, 2.15), center=(16.0, 12.0), radius=2.15,
                 surface_actuation=SurfaceActuation(0.7, 0.85, 0.002))  # angle, half-width, speed
-with CudaContext(0) as ctx, FixedPatchStepper(cfg, (8, 6, 24, 18), context=ctx,
-                                              fine_objects=[body], fine_block=(16, 20)) as run:
+with CudaContext(0) as ctx, FixedPatchStepper(cfg, context=ctx, refinements=[(8, 6, 24, 18)],
+                                              level_blocks=[None, (16, 20)],
+                                              level_objects=[(), (body,)]) as run:
    rest = np.asarray(compute_feq_d2q9(1.0, 0.0, 0.0), np.float32)[:, None, None]
    # (9, ny, nx) postcollision populations per level; non-leaf cells are discarded.
    run.initialize(np.broadcast_to(rest, (9, *run.patch.coarse_shape)),
@@ -123,7 +124,9 @@ with CudaContext(0) as ctx, FixedPatchStepper(cfg, (8, 6, 24, 18), context=ctx,
 ```

 Scope and limits:
- D2Q9, SRT, FP32, double buffer, unshifted, no LES or forcing; fixed 2:1 patch(es), two levels (or one nested third).
+- The examples below use D2Q9, SRT, FP32, double buffer, unshifted, no LES or
+  forcing. Fixed 2:1 hierarchies use level lists of arbitrary depth; two- and
+  three-level examples below use that same constructor.
 - `coarse_boundary="periodic"` (default) or `"slot_reservoir"` (bottom slot, top
  reservoir; patch needs `y0 >= 4`, `y1 <= ny-4`). Periodic mode ignores the wall/slot config fields.
 - Object centers/radii use the coarse **cell-edge** frame (cell `I` spans `[I, I+1)`),
@@ -131,46 +134,51 @@ Scope and limits:
 - Bodies must be stationary circles whose whole boundary stencil lies in the fine
  active region, clear of the coarse/fine transfer cells; violations are rejected
  before any GPU allocation.
- `fine_block=(by, bx)` stores the fine level in fixed-size blocks; `by`/`bx` must
+- `level_blocks=[None, (by, bx)]` stores the fine level in fixed-size blocks; `by`/`bx` must
  divide the WHOLE fine allocation, i.e. `2*(y1-y0)+8` by `2*(x1-x0)+8` including the
  four-cell ghost band. It gives results identical to dense storage and is
  infrastructure for future block AMR, not a speedup.
- Several separated patches: pass a sequence of `(x0, y0, x1, y1)`
-  rectangles as `bounds`, at least 4 coarse cells apart, with both `fine_block`
-  and `base_block`. The fine level is then one level-wide grid `(2*ny, 2*nx)`:
+- Several regions: pass a sequence of `(x0, y0, x1, y1)` rectangles as
+  `refinements[0]`, with both levels blocked (`level_blocks`). Transfers are built once
+  from their union; adjacent, overlapping and concave unions are accepted when
+  their actual dependencies close. There is no fixed rectangle-gap rule.
+  The fine level is then one level-wide grid `(2*ny, 2*nx)`:
  `run.patch.fine_shape` gives it, `initialize`/`download` use it, and only the
-  patch windows (active region plus 4-cell ghost band, origin `(2*y0-4, 2*x0-4)`)
-  are stored; each window must align with `fine_block`. Order of rectangles does
-  not matter. `fine_objects`/`jets` work as for one patch: each circle (same
-  coarse cell-edge frame) must lie wholly inside one patch's active region with
+  grid-aligned tiles intersecting the union plus its four-cell ghost band are stored.
+  Block sizes must divide the level-wide grid; rectangle edges need not align
+  with tiles. Order of rectangles does not matter. L1 bodies/Jets (`level_objects[1]`/`level_jets[1]`) work
+  as for one patch: each circle (same coarse cell-edge frame) must lie wholly
+  inside the union's active region with
  its boundary stencil clear of transfer cells; a jet may not select links of two
-  different bodies, even across patches. No wall-touching patches or nesting yet.
+  different bodies, even across regions. Wall-touching patches remain unsupported.
+  For nesting, add further `refinements` entries as shown below.

  ```python
  cfg = LBMConfig(nx=32, ny=16, viscosity=.1)
  rest = np.asarray(compute_feq_d2q9(1.0, 0.0, 0.0), np.float32)[:, None, None]
  with CudaContext(0) as ctx, FixedPatchStepper(
-          cfg, ((4, 4, 12, 12), (16, 4, 24, 12)), context=ctx,
-          fine_block=(4, 4), base_block=(4, 4)) as run:
+          cfg, context=ctx, refinements=[((4, 4, 12, 12), (16, 4, 24, 12))],
+          level_blocks=[(4, 4), (4, 4)]) as run:
      run.initialize(np.broadcast_to(rest, (9, *run.patch.coarse_shape)),
                     np.broadcast_to(rest, (9, *run.patch.fine_shape)))  # (9, 32, 64)
      run.step(32)
      coarse_g, fine_g = run.download()  # coarse: NaN on every covered cell;
                                         # fine: NaN on every non-ACTIVE cell
  ```
- Three levels (one nested chain): add `child=(x0, y0, x1, y1)` in
-  **L1 window cells** (the patch's fine grid including its 4-cell ghost band) and
-  `child_block`, with `fine_block` and `base_block`. L2 must sit inside L1's
-  ACTIVE cells, away from L1's ghost band and transfer footprint (checked before
-  any GPU allocation). `initialize` and `download` take/return three arrays; each
-  level is NaN on its non-ACTIVE (and child-covered) cells. One coarse step = 2 L1
-  steps = 4 L2 steps. One L1 patch only. Optional stationary circles and Jets
-  live on L2 via `child_objects` and `child_jets`; `fine_objects`/`jets` retain
-  their L1 meaning and must be empty in this mode. All object and Jet geometry
-  uses the **L0 edge frame**, not the child bounds' L1 window frame. L2 has
-  dx=dt=0.25, so prescribed lattice velocity is unchanged. Each whole body and
-  its BFL stencil must be inside L2 ACTIVE cells, outside the transfer footprint.
-  A Jet may select one physical body across multiple blocks, never two bodies.
+- Three-level nested windows: pass two scalar rectangles in `refinements` —
+  L1 in L0 cells, L2 in **L1 window cells** (the parent's fine grid including its
+  4-cell ghost band) — plus all three `level_blocks` entries. L2 must sit inside
+  L1's ACTIVE cells, away from L1's ghost band and transfer footprint (checked
+  before any GPU allocation). `initialize` and `download` take/return three
+  arrays; each level is NaN on its non-ACTIVE (and child-covered) cells. One
+  coarse step = 2 L1 steps = 4 L2 steps. One L1 window only in this scalar
+  chain. Optional stationary circles and Jets live on L2 via `level_objects[2]`
+  and `level_jets[2]`; L1 bodies/Jets retain their L1 meaning and must be empty
+  in this mode. All object and Jet geometry uses the **L0 edge frame**, not the
+  child bounds' L1 window frame. L2 has dx=dt=0.25, so prescribed lattice
+  velocity is unchanged. Each whole body and its BFL stencil must be inside L2
+  ACTIVE cells, outside the transfer footprint. A Jet may select one physical
+  body across multiple blocks, never two bodies.

  ```python
  from CelerisLab.body.geometry.circle import CircleGeometry
@@ -182,9 +190,9 @@ Scope and limits:
  jet = Jet(Tube((6.5, 8.), 0., 3., .3), Parallel(0.), amplitude=.002)
  rest = np.asarray(compute_feq_d2q9(1.0, 0.0, 0.0), np.float32)[:, None, None]
  with CudaContext(0) as ctx, FixedPatchStepper(
-          cfg, (4, 4, 12, 12), context=ctx, fine_block=(4, 4), base_block=(4, 4),
-          child=(8, 8, 16, 16), child_block=(4, 4),
-          child_objects=[body], child_jets=[jet]) as run:
+          cfg, context=ctx, refinements=[(4, 4, 12, 12), (8, 8, 16, 16)],
+          level_blocks=[(4, 4)] * 3, level_objects=[(), (), (body,)],
+          level_jets=[(), (), (jet,)]) as run:
      shapes = (run.patch.coarse_shape, run.patch.fine_shape, run.child_patch.fine_shape)
      run.initialize(*(np.broadcast_to(rest, (9, *s)) for s in shapes))  # 16², 24², 24²
      run.step(4)
@@ -192,14 +200,30 @@ Scope and limits:
      run.step(4)
      coarse_g, l1_g, l2_g = run.download()  # solids/covered/nonleaves are NaN
  ```
- Not available: per-link surface exchange/force readout in blocked mode,
-  checkpoints, moving bodies, L1 bodies/Jets in a three-level chain,
-  several patches per level with nesting, dynamic refinement, `Simulation`
-  integration. Validation so far is storage/operator equivalence and short runs,
-  not accuracy, convergence or long-time stability. The new L2-body GPU gates
-  (layouts, masks, amplitude reversal, legacy equivalence) and independent
-  every-substep numerical replay remain required acceptance checks; CPU tests
-  alone do not establish GPU numerical correctness.
+- Level lists (the only constructor): `refinements[l]` describes level `l+1`
+  in allocated level-`l` integer cells; use a rectangle list for a union, or a
+  scalar rectangle for a single window (a scalar child requires a scalar
+  parent). `level_blocks`, `level_objects` and `level_jets` each have one entry
+  per level, including L0. Three or more levels require all-blocked storage and
+  bodies/Jets only on the finest level. Every adjacent pair must preserve
+  inherited ACTIVE coverage, valid donors/receivers, surviving pulls and the
+  upstream transfer footprint. Level `l` takes `2**l` steps per base interval.
+  This describes implemented topology and scheduling, not accuracy or
+  convergence qualification.
+- Blocked body levels can enable `observe_raw_exchange=True` and call
+  `read_raw_exchange(body_id, level=...)` after a completed base interval.
+  It reduces unique cut-link observations into wall/aperture/total force,
+  torque and mass exchange in base-lattice units per unit depth, for the last
+  base interval (default) or `window="last_substep"`.
+  `observe_window_exchange=True`, alongside `observe_raw_exchange=True`, enables
+  `start_exchange_window()` / `read_exchange_window(body_id, level=...)` across
+  completed base intervals. These are raw boundary-reaction diagnostics, not a general
+  stress or nozzle-load accuracy claim; dense body layouts are unsupported.
+- Not available: checkpoints, moving bodies, L1 bodies/Jets in a three-level
+  chain, automatic dynamic refinement, `Simulation` integration. Qualification
+  depends on the tested configuration; see [the validation scope](docs/validation/2d_scope.md).
+  CPU topology/schedule tests alone do not establish GPU numerical correctness,
+  general convergence or long-time stability.

 ## Installation

@@ -0,0 +1,35 @@
+# Compatibility and API changes
+
+Changes that can make a previously accepted setup or call behave differently.
+Each entry names the commit, the affected entry points and the observable result.
+
+## 87c3a31: cut-link ownership is validated for every body
+
+`validate_cut_link_ownership` (`body/preprocess/flag_overlay.py`) now runs for
+passive bodies as well as Jet/aperture bodies. Every cut link must have an
+active fluid receiver (FLUID set, SOLID clear), and each `(receiver, direction)`
+population may have only one writer.
+
+Rejected with `ValueError`, before flags, populations or device buffers change:
+
+1. Overlapping or touching passive solids whose cut links write the same
+   population ("Boundary requires unique cut-link writers").
+2. A body whose cut-link receiver is a non-fluid cell, e.g. a channel wall row
+   or the inlet/outlet column ("Cut links must have active fluid receivers").
+
+Both were previously accepted silently for passive bodies; the interpolated
+boundary then had undefined results. The rules apply to the cut links of all
+bodies together, so a passive body overlapping a Jet body is rejected as well.
+The check runs in `Simulation.initialize`, runtime body sync (`sync_bodies`),
+checkpoint save and checkpoint load (`common/checkpoint.py`). Load validates
+before restoring anything, so a checkpoint whose saved geometry violates either
+rule no longer restores; rebuild the geometry with separated bodies.
+
+## 87c3a31: `Simulation.read_surface_exchange` accepts Jet-driven bodies
+
+`read_surface_exchange(id)` previously required `SurfaceActuation` on the body.
+It now also accepts bodies that own Jet aperture links, including Jets with zero
+or negative amplitude (the aperture test is geometric). Bodies with neither
+`SurfaceActuation` nor aperture links still raise
+`ValueError("Body has no surface actuation")`. The value is unchanged: the latest
+step's wall/aperture exchange, not total nozzle force.
@@ -0,0 +1,62 @@
+# Selective LES normalization integration on dev8403956
+
+This change reuses the reviewed correction from 5465832 without merging its
+branch history. The only production change is the two closed-form coefficients
+18 -> 18 sqrt(2) and their explanatory comments in turbulence_smag.cuh. Its SHA256
+is a3db46c2e7d27530b2d1436e65cdbed0b72cc7e047bfbeef2a640877271b51aa.
+Defaults, iterative/deviatoric/capped closure, collision dispatch, AMR guards,
+and all other production source files are unchanged.
+
+## Separate source contract; unchanged experiment
+
+The single existing flow runner now accepts `--experiment dev8403956`.
+Its separate source_pins_dev8403956.json pins all 101 production files from the
+committed 8403956 baseline; corrected mode permits only the exact reviewed
+header substitution. Results record the actual checkout commit, import path,
+experiment name and manifest SHA256. No arbitrary manifest-path override exists.
+
+Omitting the option still selects the original historical source manifest.
+That manifest, the original paired receipts, scalar preparation manifests and
+independent continuum oracle are unchanged. Historical baseline and corrected
+receipts remain evidence for their own exact sources, not new dev receipts.
+Historical guards intentionally reject this different dev source tree. Eight
+production files already differed between the historical source snapshot and
+8403956; neither the old manifest nor its acceptance is silently regenerated.
+
+The physical experiment and every numerical acceptance threshold are unchanged:
+8 x 34 nodes, halfway y walls, periodic x, unforced D2Q9/SRT, shifted FP32,
+double-buffer streaming, Cs=0/.16/1, checkpoints 519/1038/2075. Each case has one
+actual advancing warm-up followed by complete initial-state restoration before
+READY. Total launches are 6,225 measured plus three warm-ups. Cs=1 remains an
+amplified diagnostic, not a physical coefficient recommendation.
+
+## Host checks
+
+    PYTHONDONTWRITEBYTECODE=1 python -m unittest discover -s tests/unit -p 'test_smagorinsky_normalization.py' -v
+    PYTHONDONTWRITEBYTECODE=1 python -m unittest discover -s tests/unit -p 'test_les_flow_*.py' -v
+
+The direct-current-header test is copied unchanged from reviewed 5465832:
+120 tensor parameter cases, Cs=0/equilibrium and omega guards, converged
+trace-free iterative comparison, and mutation detection in both lattice
+algebras. This is scalar D2/D3 algebra coverage, not 3D-flow qualification.
+Flow tests retain analytic/reference checks and add current named-source,
+reverse-patched baseline, variant rejection, unrelated-source tampering and
+immutable historical-default checks. The temporary baseline is constructed
+only inside a test directory; production is never reverse-patched.
+
+## Pending final-commit GPU gate
+
+After independent review and explicit executor authorization, run from the
+exact committed candidate checkout, selecting the authorized physical GPU:
+
+    CUDA_VISIBLE_DEVICES=<physical-GPU> PYTHONDONTWRITEBYTECODE=1 python tests/validation/run_uniform_les_flow.py --root "$PWD" --experiment dev8403956 --variant corrected --run-gpu --device 0 --output <new-evidence-directory>/corrected.json
+
+Retain all source hashes, exact commit/import/device identity, manifest hash,
+three READY/reset records, complete result JSON, stdout/stderr and actual exit.
+Require all frozen gates, DONE passed=true and exit 0. Compare with historical
+corrected evidence without relabeling it as current evidence. The old-vs-new
+normalization discrimination already exists; no new baseline GPU run is needed
+unless review finds a changed exercised uniform solver path.
+
+No GPU result is claimed by this integration preparation. This does not expand
+LES qualification to MRT, forcing, AMR LES or three-dimensional turbulent flows.
@@ -0,0 +1,57 @@
+# Experimental projected G explosion
+
+`FixedPatchStepper(..., explosion="projected_linear")` changes only the existing
+G-to-G explosion reconstruction. The omitted/default `"constant"` selector retains
+the same kernel, launch arguments and device allocations. Projected mode adds two
+compact tables per adjacent pair; recursion, collision, BFL, restriction, buffer
+ownership and synchronized publication are unchanged. `remap_child` preserves it.
+
+Runtime eligibility is periodic-root, fully blocked D2Q9/SRT/FP32, body/Jet-free,
+without LES; the fixed-patch backend has no forcing interface. Shifted and unshifted
+storage use the same reconstruction. One generic builder handles scalar windows,
+unique union rows and all adjacent hierarchy pairs without depth/rectangle caps.
+Donors are original explosion donors intersected with owned, uncovered ACTIVE
+cells. An axis uses centered differences only if both neighbors are legal;
+otherwise both addresses repeat the center. Nested layout periodicity is explicit.
+No covered cells, holes, inactive cells or stale halo copies enter the stencil.
+
+The 33-line kernel is unchanged from our `519473a` experiment and retains its
+mathematical attribution. Host tests cover union decomposition, concavity, narrow
+gaps, grazing packet paths, offsets, sparse/nested owner addresses, three/four-level
+source timing, unchanged constant dispatch, remapping and shifted/unshifted actual
+kernel arithmetic compiled as host C++. These are not CUDA or flow validation.
+
+## Reviewed bounded evidence
+
+The `1aa8110` CUDA gate, with production exactly `a135252`, passed exact-dev
+omitted/default and explicit-constant equivalence, per-population reconstruction,
+scalar/union/four-level scheduling, alternate layouts, and changed remapping in
+both storage modes. Operator maximum error was 2.98023224e-8; the eight-step
+concave replay maximum was 1.58037614e-7. Whole-step mass/momentum remain
+finite diagnostics, not an FP32 conservation certificate. Reviewed evidence:
+`7aa66ff0542175092753ea099f40b903ece0527e`.
+
+The fresh four-case `2cf9853` N128/256 Taylor–Green repeat retained all `11901a7`
+settings and gates. All 20 main scalar rows and 260 early-pressure samples matched
+the older receipts exactly; this is not field-array equality. Projected worst
+velocity was 0.001995299260844 versus 0.002 (only 0.235% margin), pressure
+0.012157174904932 and energy 0.001184362645162. Constant velocity
+0.004418076615223 failed its gate, so the aggregate verdict remains false.
+The projected early sampled pressure peak was 0.021621453573334; it remains a
+descriptive sampled maximum. Reviewed evidence: `90849a55cad4a0da9b72747da7bfe6eb75962a44`.
+
+The old N64 projected failures remain relevant. These results support only this
+bounded plumbing gate and short periodic Re100 smooth-decay experiment. They do
+not establish union/multilevel physics accuracy, convergence, long-time stability,
+body/Jet, boundary, forcing, MRT or LES suitability. Constant remains the default.
+
+## Separate LES source profile
+
+The two older LES source manifests and the historical default are unchanged and
+correctly reject this different source tree. The existing LES runner now offers
+`--experiment a135252`, pinning all 101 actual committed corrected source files.
+Its explicit baseline-header override describes only a synthetic isolated reverse
+control, never the committed a135252 header. The unchanged corrected-only uniform
+LES regression (Cs=0/.16/1) is the remaining integration gate; no LES result is
+inherited from the projected evidence. The separate historical jet-CV `channel.py`
+pin mismatch predates this port and is not addressed here.
@@ -0,0 +1,34 @@
+# MRT reuse in blocked/refined stepping (candidate)
+
+Base `9805383`. Opt-in by `LBMConfig(collision="MRT")`; SRT remains the default and its
+kernel statements, including the shifted retained-delta/direct-momentum path, are unchanged
+under the alternate compile branch.
+
+## What changes
+- `blocks.cu` (`BlockStep`), `step/block_channel.cu` (`BlockChannelStep`) and `refinement.cu`
+  (`patch_collide`) gain a compile-time `COLLISION_MODEL == 2` branch that repeats the uniform
+  `collide_dispatch` sequence with zero forcing: `compute_rho_u`, omega clamp to
+  `[OMEGA_COLLISION_MIN, OMEGA_COLLISION_MAX]`, `collide_mrt_no_force`.
+- Kernel and host guards accept SRT or MRT only. TRT, LES, non-FP32 storage, non-double-buffer
+  streaming, and shifted dense/mixed refinement remain rejected.
+- Transfers, subcycling, BFL, raw exchange ledgers and channel closures are untouched. The
+  existing pressure-NEQ outlet selects its MRT branch (unknowns-only NEQ extrapolation) from
+  `COLLISION_MODEL`, so MRT channel parity must use uniform MRT as reference.
+
+## Contracts (existing operator, not redefined here)
+- Shifted storage uses the existing MRT representation (equilibrium moments from `rho - 1`),
+  not the SRT retained-delta/direct-momentum precision. Mass and momentum are conserved
+  moments (relaxation rate 0).
+- Kinetic rates are the operator's fixed `s_e = s_eps = s_q = 1.2` on every level; the shear
+  rate is the existing per-level omega. Under acoustic 2:1 scaling the physical bulk viscosity
+  therefore halves on each finer level. No rate rescaling is applied.
+- No LES, no external forcing (`d_params` force fields stay zero).
+- Shifted Jets stay SRT-only: `body/jets.py` keeps its existing guard. This extension does not
+  provide shifted MRT Jets.
+- `PeriodicBlockStepper` (uniform blocked stepper) remains SRT-only.
+
+## Evidence status
+CPU: `tests/unit/test_refinement_mrt.py` (host guards, source contract). GPU:
+`tests/validation/multigrid/test_refinement_mrt_gpu.py` (uniform-MRT channel parity, AMR MRT
+smoke) and unchanged SRT GPU tests. Strict parity may be subject to cross-kernel FMA
+contraction differences already documented for SRT. Not a DFG/benchmark validation.
@@ -1,6 +1,6 @@
 # Blocked AMR root channel increment

-Opt in with `FixedPatchStepper(..., coarse_boundary="channel", base_block=(by,bx), fine_block=(fy,fx))`, or the existing level-list form. Every level must be blocked. The supported boundary is the existing uniform D2Q9/SRT/FP32 double-buffer channel: local Zou-He west inlet, pressure-NEQ east outlet, stationary halfway bounce-back y walls. Uniform and parabolic inlet profiles and shifted/unshifted storage are supported; the existing configuration guards still reject MRT/LES and incompatible storage. This does not change the external DFG MRT reference.
+Opt in with `FixedPatchStepper(..., coarse_boundary="channel", refinements=[bounds], level_blocks=[(by,bx), (fy,fx)])`. Every level must be blocked. The supported boundary is the existing uniform D2Q9/SRT/FP32 double-buffer channel: local Zou-He west inlet, pressure-NEQ east outlet, stationary halfway bounce-back y walls. Uniform and parabolic inlet profiles and shifted/unshifted storage are supported; the existing configuration guards still reject MRT/LES and incompatible storage. This does not change the external DFG MRT reference.

 `step/block_channel.cu` is a small root-only kernel. Fine kernels, transfer kernels and recursive hop scheduling are unchanged. Global coordinates and the global profile height/velocity are separate from block-local storage strides. Corner ownership and collision phases match `OneStep`:

@@ -1,23 +1,26 @@
-# Fixed three-level separated patches
+# Fixed three-level rectangle unions

-`FixedPatchStepper` supports exactly three static, blocked levels with separated
-rectangle sets on either adjacent pair. This is not general AMR: there is no
-per-region timestep, moving geometry, dynamic refinement or L1 body support.
+This page describes three-level `FixedPatchStepper` setups built from the
+`refinements` level list, with rectangle unions on either adjacent pair. The
+same constructor supports arbitrary depth; three or more levels require
+all-blocked storage and bodies/Jets only on the finest level. This is not
+general AMR: there is no per-region timestep, moving geometry, automatic
+dynamic refinement or L1 body support in the three-level form.
 All regions share one current/spare buffer pair per level. The existing schedule
 advances L0 once, L1 twice and L2 four times per base step, with aggregate transfers.
 No CUDA kernel changes are involved.

 ## Explicit coordinate frames

-Keep the existing scalar `child=(x0,y0,x1,y1)` for a single scalar parent patch.
-Its coordinates retain their original meaning: half-open integer indices in the
-allocated L1 window, including its ghost band.
+For a single scalar parent patch, pass a scalar rectangle as `refinements[1]`:
+`(x0,y0,x1,y1)` in half-open integer indices of the allocated L1 window,
+including its ghost band.

-The new keyword `child_rectangles_in_parent=[...]` is mutually exclusive with
-`child`. It accepts a scalar or a set parent and interprets every rectangle in
-the actual allocated L1 array, including ghost bands and holes. It never infers
-region-local coordinates. The physical root cell edge corresponding to an L1
-index `(x,y)` is `parent.fine_origin + (x,y)/2`:
+A rectangle list as `refinements[1]` accepts a scalar or a set parent and
+interprets every rectangle in the actual allocated L1 array, including ghost
+bands and holes. It never infers region-local coordinates. The physical root
+cell edge corresponding to an L1 index `(x,y)` is
+`parent.fine_origin + (x,y)/2`:

 - A scalar L1 parent has a shifted window origin.
 - A set L1 parent has origin `(0,0)` and public shape `(2*ny,2*nx)`.
@@ -30,20 +33,23 @@ are physically equivalent to parent set `[(4,4,12,12)]` with child set
 `[(8,8,16,16)]`. Reusing the same numbers after changing the parent frame can
 move the physical region.

-Both adjacent pairs require a Chebyshev gap of at least four in their own
-parent-cell units. The whole child union must preserve inherited ACTIVE
-coverage, uncovered ACTIVE donors/receivers, surviving pulls, and the upstream
+Both adjacent pairs are built from their unions, without a fixed rectangle-gap
+rule. Adjacent, overlapping and concave unions are accepted only when their
+actual transfer dependencies close. The whole child union must preserve
+inherited ACTIVE coverage, uncovered ACTIVE donors/receivers, surviving pulls, and the upstream
 restriction footprint. Sparse holes remain unowned; inherited INNER remains
-stream-only and OUTER remains invalid. Block sizes must align with every
-support edge, including its four-cell ghost band.
+stream-only and OUTER remains invalid. Block sizes must divide their allocated
+level grids. Sparse storage owns every grid-aligned tile intersecting the union
+plus its four-cell ghost band; rectangle and support edges need not align with
+tile edges.

 ## Example

 ```python
 run = FixedPatchStepper(
-    cfg, [(4, 4, 20, 28), (24, 4, 44, 28)], context=ctx,
-    base_block=(4, 4), fine_block=(4, 4), child_block=(4, 4),
-    child_rectangles_in_parent=[(16, 16, 32, 40), (56, 16, 80, 40)],
+    cfg, context=ctx,
+    refinements=[[(4, 4, 20, 28), (24, 4, 44, 28)], [(16, 16, 32, 40), (56, 16, 80, 40)]],
+    level_blocks=[(4, 4)] * 3,
 )
 ```

@@ -51,7 +57,7 @@ This example uses a 48x32 root. `initialize` and `download` use three Q-major
 dense arrays. Public arrays and masks still scale with the full allocated
 extent; sparse device buffers do not remove that host-memory limit.

-Stationary whole-circle `child_objects` and `child_jets` use root edge
+Stationary whole-circle L2 bodies and Jets (`level_objects[2]`, `level_jets[2]`) use root edge
 coordinates and a single L2 boundary object. Body IDs are physical object-list
 positions, not region IDs or caller `obj_id`. Complete boundary stencils must
 avoid the transfer footprint. Change a child Jet with
@@ -65,6 +71,12 @@ CPU geometry, table, pre-CUDA rejection, schedule and cleanup tests:
 PYTHONPATH=src python -m unittest discover -s tests/unit -p 'test_refinement*.py' -v
 ```

+`tests/unit/test_union_refinement.py` covers union dependencies and tile
+ownership; `tests/unit/test_hierarchy.py` covers composed geometry through four
+levels. `tests/unit/test_raw_exchange.py` checks the four-level host schedule
+with CUDA mocks. These establish topology/control-flow coverage, not numerical
+qualification at every depth or interface shape.
+
 Explicit GPU gates are in
 `tests/validation/multigrid/test_refinement_three_level_multipatch_gpu.py`.
 They cover physical-frame equivalence, twins, asymmetric refinement, multiple
@@ -0,0 +1,88 @@
+# Supported settings: 2D Jet + fixed multilevel refinement (candidate 888c8038)
+
+Every entry names the guard that enforces it (file and function or kernel guard,
+at source revision 888c80381c006e976be2af8a452288729fc17c1b) and, where one
+exists, an existing test that exercises it. A setting not listed here is not
+claimed. Observations at the end are tied to the exact case in which they were
+measured; they are not general bounds.
+
+## Lattice, storage, collision
+
+| Setting | Supported | Guard |
+|---|---|---|
+| Dimension / lattice | 2D D2Q9 only (3D refinement is future work) | `lbm/refinement.py` `FixedPatch2D.from_config`; `#error` guards in `lbm/kernels/blocks.cu` and `lbm/kernels/refinement.cu` |
+| Precision / streaming | FP32 storage, double buffer | same guards |
+| Collision on refinement levels | SRT or MRT; TRT and LES rejected | `lbm/refinement.py` `FixedPatch2D.from_config` (re-checked for fine boundaries in `prepare_fine_boundary`) |
+| Shifted (ddf_shifting) storage | only when every level is blocked; dense or mixed rejected | `lbm/refinement_stepper.py` `FixedPatchStepper.__init__`, `FixedPatchStepper._check_storage`; `#error` guard in `lbm/kernels/refinement.cu` (dense patch kernel unshifted only) |
+| Fine relaxation | 1/tau_fine must lie inside the configured omega guards | `lbm/refinement.py` `FixedPatch2D.from_config` |
+| Uniform blocked backend `PeriodicBlockStepper` | doubly periodic, SRT only, stationary passive circles | `lbm/block_stepper.py` `PeriodicBlockStepper.__init__`, `_static_circles` |
+
+Tests: `tests/unit/test_refinement_mrt.py`, `tests/validation/multigrid/test_refinement_mrt_gpu.py`,
+`tests/unit/test_shifted_storage.py`, `tests/unit/test_shifted_block_operators.py`.
+
+## Refinement hierarchy (`FixedPatchStepper(cfg, *, context, refinements, ...)`)
+
+| Setting | Supported | Guard |
+|---|---|---|
+| Depth | at least one refinement level; one entry per level in `level_blocks`/`level_objects`/`level_jets` | `lbm/refinement_stepper.py` `_check_levels` |
+| Single L1 rectangle | two-coarse-cell margin to the domain edge | `lbm/refinement.py` `FixedPatch2D.from_config` |
+| Several L1 rectangles (union) | require `level_blocks[0]` and `level_blocks[1]`; transfers must close (dependency checks, no fixed gap rule) | `lbm/refinement_stepper.py` `_check_levels`; `lbm/refinement.py` `_check_parent_pull_closure` |
+| Nested levels | depth >= 3 must be all blocked; a blocked level requires blocked levels below; a scalar child needs a scalar parent | `lbm/refinement_stepper.py` `_check_levels`; `lbm/hierarchy.py` `build_hierarchy` |
+| Nested transfer support | child only over inherited ACTIVE cells, donors/receivers uncovered ACTIVE, no child over the parent restriction footprint | `lbm/refinement.py` `_nested_kind` |
+| Tile shape | positive `(by, bx)`; the level allocation must be divisible by the tile (no partial tiles yet) | `lbm/refinement_stepper.py` `_check_levels`, `lbm/refinement.py` `FixedPatchSet2D.fine_layout` (shape); `lbm/blocks.py` `BlockLayout2D.build` (divisibility) |
+| Coarse boundary | `periodic`, `slot_reservoir` or `channel` | `lbm/refinement_stepper.py` `FixedPatchStepper.__init__` |
+| `slot_reservoir` | on-site velocity bottom slot, reservoir top, velocity 0, 2 <= slot width < nx, patch rows 4..ny-4 | `lbm/refinement_stepper.py` `FixedPatchStepper.__init__`; `lbm/refinement.py` `prepare_fine_boundary` |
+| `channel` | all levels blocked; Zou-He inlet, pressure-NEQ outlet, stationary bounce-back walls; transfers away from the closure | `lbm/channel.py` `validate_channel_config`, `validate_channel_transfers` |
+| Explosion | `constant` (default); `projected_linear` only periodic, all-blocked SRT, no bodies/Jets, no LES (experimental) | `lbm/refinement_stepper.py` `FixedPatchStepper.__init__` |
+| L2 runtime remap (`remap_child`) | periodic three-level L2 sets only, no L0/L1 bodies, identical pinned boundary | `lbm/refinement_stepper.py` `FixedPatchStepper.remap_child` |
+
+Tests: `tests/unit/test_refinement_three_level_multipatch.py`, `tests/validation/multigrid/test_refinement_multipatch.py`,
+`test_refinement_three_level.py`, `test_refinement_three_level_multipatch_gpu.py`, `test_refinement_blocked_base.py`,
+`test_refinement_blocked_fine.py`, `test_channel_root_gpu.py`, `tests/unit/test_channel_root.py`,
+`tests/unit/test_projected_pair_stepper.py`, `test_runtime_child_remap_gpu.py`, `test_pinned_body_remap_gpu.py`.
+
+## Bodies and Jets on refined levels
+
+| Setting | Supported | Guard |
+|---|---|---|
+| Bodies | stationary circles without sensor/force-region roles, entirely inside the patch union, fully resolved, disjoint, stencil away from the two-hop transfer footprint | `lbm/refinement.py` `prepare_fine_boundary` |
+| Level | not on L0; only on the finest level of a nested hierarchy | `lbm/refinement_stepper.py` `_check_levels` |
+| Jet condition | velocity only; `pressure` is reserved and raises NotImplementedError | `body/jets.py` `Jet.__post_init__` |
+| Jet geometry | each Jet selects resolved links of exactly one stationary body; no Jet/Jet or Jet/SurfaceActuation overlap; abs(amplitude) < 1 lattice | `body/jets.py` `Jet.__post_init__`, `jet_link_shapes`, `_surface_links` |
+| Jets with shifted storage | only in the all-blocked stepper with SRT and no LES | `body/jets.py` `_surface_links` |
+| SurfaceActuation | unshifted storage only | `body/objects.py` `SimObject.validate_surface_actuation` |
+| Raw boundary exchange (force) | blocked body levels only; the window ledger requires `observe_raw_exchange` | `lbm/refinement_stepper.py` `FixedPatchStepper.__init__` |
+| Checkpoint with Jets | refused | `simulation.py` `Simulation.save_checkpoint` |
+
+Raw exchange is the cut-link momentum reaction (wall + aperture), not a validated
+nozzle thrust or stress load. Jet amplitude is a lattice velocity, not a flow rate.
+
+Tests: `tests/unit/test_jets.py`, `test_jets_review.py`, `test_shifted_jets.py`, `test_raw_exchange.py`,
+`tests/validation/multigrid/test_refinement_jets.py`, `test_shifted_jets_gpu.py`, `test_raw_exchange_gpu.py`,
+`test_exchange_window.py`, `test_fine_surface_gpu.py`.
+
+## Observations from specific tested cases (not general bounds)
+
+- SRT channel root vs uniform OneStep, strict-parity test
+  `tests/validation/multigrid/test_channel_root_gpu.py::ChannelRootGPU::test_uniform_matched_root`:
+  in one of its 18 sub-cases (2 storage modes x 3 profile/clamp/damp settings x 3 blocks; which
+  one is not recorded), 1 of the 4320 compared values differs, max abs 2.33e-10, max rel 1.77e-7
+  (about 2 ULP). The test remains failed; its cause and any general bound are unresolved.
+- MRT root parity test
+  `tests/validation/multigrid/test_refinement_mrt_gpu.py::RefinementMRTGPU::test_uniform_matched_mrt_root`
+  (12 sub-cases: 2 storage modes x 2 profiles x 3 blocks, default outlet settings) passed bitwise
+  in the Horsea focused GPU run at K1 7813334 (2026-10-21).
+- Periodic Taylor-Green Re 100, measured at 36ffc8b1 (V3 matched pair, N128 depth 2):
+  every per-sample screen passed; the constant explosion's aggregate worst velocity L2,
+  0.004418, exceeds its preregistered 0.002 budget, while projected_linear passed that budget.
+- Curved-wall pressure (pilot harness, exact-q analytic annulus, tau 0.8): the coarse swirl r1
+  case exceeded its terminal density-gain cap (1.105e-4 vs 1e-4), so the frozen 9-case matrix
+  is NOT_ESTABLISHED. No validated fix exists. This is a pilot harness, not production code.
+- DFG 2D-1 Re 20 (V4, SRT, t* 60, pressure-NEQ outlet and local Zou-He inlet): refined and uniform
+  runs were NOT_STEADY under the frozen steady rule, so no interval verdict was given.
+
+## Not supported in this release
+
+3D, dynamic/automatic AMR (tagging, time-varying hierarchies beyond `remap_child`),
+moving bodies on refined levels, pressure Jets, Jet checkpoints, LES or TRT on refined
+levels, partial (non-dividing) tiles.
@@ -1,11 +1,15 @@
 # Synchronized leaf G remap and manual continuation

 This is a CPU state-transfer component, **not a runtime adaptive solver**.
-It changes only a separated L2 rectangle set in a three-level, body-free,
-periodic hierarchy. L0/L1 topology, relaxation parameters, direction order,
+It changes only an L2 rectangle union in a three-level periodic hierarchy.
+The body-free case is shown first; stationary L2 bodies/Jets follow the bounded
+support contract below. L0/L1 topology, relaxation parameters, direction order,
 physical frame and completed time remain unchanged. Existing geometry checks
-validate child support/nesting and separation. The CPU helper itself adds no CUDA, scheduler, allocator, boundary handling,
-collision or ghost refill. A bounded runtime adapter is described below.
+validate child support/nesting and actual transfer dependencies, without a fixed
+rectangle-gap rule. The three-level remap limit is unchanged by the stepper's
+arbitrary-depth level-list support. The CPU helper itself adds no CUDA,
+scheduler, allocator, boundary handling, collision or ghost refill. A bounded
+runtime adapter is described below.

 ```python
 from CelerisLab.lbm.refinement import FixedPatchSet2D
@@ -29,11 +33,13 @@ origin is retained. Physical lower edges are `origin + spacing*(x,y)` on L0,
 `origin + spacing*(parent.fine_origin + (x,y)/4)` on L2.

 Factory options `coarse_boundary` and `objects` must declare `"periodic"` and
-an empty body collection (all levels). LBMConfig's channel settings do not
-select this operator's boundary mode. Geometry metadata is factory-created;
+an empty collection; L2 bodies use `child_objects` as described below.
+LBMConfig's channel settings do not select this operator's boundary mode.
+Geometry metadata is factory-created;
 manual mutation/forging of metadata is unsupported. Caller certifies the
-actual state has no bodies/forcing, that all device work and old readers are
-quiescent, and that inputs are the **current owned-leaf postcollision G**.
+actual state matches the declared boundary and has no forcing, that all device
+work and old readers are quiescent, and that inputs are the **current owned-leaf
+postcollision G**.
 Count/phase stamps check consistency, not freshness or active-buffer identity.

 `current_g` is three NumPy Q-major arrays `(9,ny,nx)`. For blocked inputs,
@@ -73,9 +79,10 @@ PYTHONPATH=src python -m unittest discover -s tests/unit -p 'test_synchronized_r

 `replacement = current.remap_child(rectangles)` returns a new ready
 `FixedPatchStepper` at the **same absolute step_count**. It supports only
-body-free periodic three-level runs whose existing L2 uses
-`child_rectangles_in_parent`. Scalar or union L1 parents are supported; scalar
-`child=` is deliberately rejected. L0/L1, relaxation and block sizes stay fixed.
+periodic three-level runs with no L0/L1 bodies and an existing L2
+`FixedPatchSet2D`; stationary L2 bodies/Jets follow the support contract below.
+Scalar or union L1 parents are supported; scalar `child=` is deliberately
+rejected. L0/L1, relaxation and block sizes stay fixed.
 No tagger, scheduler, in-place replacement, or general rollback is provided.

 The method holds the stepper lock, validates geometry, synchronizes its stream,
@@ -113,13 +120,14 @@ Per-population conservation is not an advancement target under collision.
 ### Bounded pinned-body extension

 `replacement = current.remap_child(rectangles, child_objects=original_objects)`
-also accepts stationary Circles in separated L2 rectangles. Every body’s
-**complete containing rectangle must remain identical**. Several bodies may
-share one pinned rectangle; there need not be any fluid-only rectangles.
-Separated fluid-only rectangles may be added, removed or moved. Existing
-nesting, four-cell gap, full-circle containment, reverse cut-link coverage and two-hop BFL
-transfer-footprint checks still apply. This is manual remapping, not adaptive
-body tracking or runtime body editing.
+also accepts stationary Circles inside the L2 union. Each body's **physical
+boundary, complete BFL support and current per-link velocity must remain
+identical**. Rectangles are not pinned: they may be split, merged or resized,
+and other fluid coverage may change, including within the same connected union,
+provided that physical support is unchanged. Existing nesting, union transfer
+dependencies, full-circle containment, reverse cut-link
+coverage and two-hop BFL transfer-footprint checks still apply. This is manual
+remapping, not adaptive body tracking or runtime body editing.

 Supply all original root edge-frame definitions in their construction order.
 Do not pass `current.child_boundary.objects`: those are projected fine-local copies.
@@ -128,8 +136,8 @@ state, remapping reprojects the supplied definition onto the old topology and
 compares exact ordered circle centers/radii, flags, physical cut links, body
 IDs, q, lever arms, hits, BFL support,
 legacy SurfaceActuation specification and current per-link velocity against
-the existing boundary. Omission, changed geometry/actuation and changed body
-rectangle fail without device reads or allocations; reordered bodies fail
+the existing boundary. Omission, changed geometry/actuation or changed physical
+boundary/BFL support fail without device reads or allocations; reordered bodies fail
 too. Root object IDs are still assigned by list position, as in the constructor.

 Jets are taken from the live L2 boundary, including the most recent successful
@@ -141,12 +149,16 @@ boundary and velocities must match exactly.
 typed `FineBoundary2D`; it derives L2 fluid leaves as ACTIVE minus SOLID. No
 caller mask is accepted. Solids, ghosts and holes are never donors and remain
 NaN, physical-fluid overlap is exact, and exposed L1 still restricts all four
-old fluid children. The helper checks the old/new body pins and boundary too.
-Its immutable `pinned_rectangles` is a canonical, deduplicated tuple, empty for body-free layouts; rectangle input
-order does not affect it. Scalar-parent window offsets remain part of the
-coordinate conversion.
+old fluid children. The helper checks old/new physical boundary and velocity
+equality too. Its immutable `pinned_rectangles` is legacy containment metadata,
+not a remap eligibility constraint; it may be empty for a seam-spanning body.
+Scalar-parent window offsets remain part of the coordinate conversion.

-Focused CPU mocks: `tests/unit/test_pinned_body_remap.py`. GPU declarations:
+Focused CPU mocks: `tests/unit/test_pinned_body_remap.py`.
+`tests/unit/test_union_body_support.py` also checks seam-spanning circles,
+rectangle repartition/resize, unchanged physical support and live-Jet
+preservation. These host checks do not establish GPU evolution accuracy.
+GPU declarations:
 `tests/validation/multigrid/test_pinned_body_remap_gpu.py`, covering no-op
 next-step bitwise identity, moved-fluid A→B→A, current-amplitude preservation,
 physical boundary/velocity equality, source independence and absolute counts.
@@ -0,0 +1,53 @@
+# Bounded 2D implementation and validation scope
+
+This inventory starts from dev `8403956a9afc0b0bb89265cec374392013d89016` and
+integrates only the reviewed LES normalization production correction from
+`95cb6d2b9f43c1bdd46cbf27f03f0dfc0877cfb0`. The merged production bytes match that
+tested candidate exactly; the scope-test changes are retained from `53fad767`.
+GPU receipts remain associated with their exact tested commits, not relabeled as
+a new merged-commit run. Historical source identities and gates remain unchanged.
+
+## Implementation boundaries
+
+- Uniform D2Q9 supports SRT, TRT and MRT. An available collision selector does not
+  qualify every wall, inlet/outlet, forcing, storage or LES combination.
+- Fixed refinement supports SRT/MRT, FP32 and double-buffer streaming; TRT and LES
+  are rejected. Shifted refinement requires all-blocked storage. Refined channel
+  boundaries have narrower configuration guards than uniform boundaries.
+- Uniform checkpoints support compatible same-method continuation. Changing
+  collision or LES parameters is a different evolution, not exact continuation.
+  Jet checkpoints and refined checkpoints are unsupported; synchronized remapping
+  is not persistent restart.
+- Keep these conclusions 2D. Local D3Q19 operator tests do not establish a supported
+  3D Simulation runtime.
+
+## Evidence and remaining gaps
+
+| Area | Available evidence | Boundary of the conclusion |
+|---|---|---|
+| MRT cylinder flow and observation windows | Full matched uniform/refined MRT DFG and the window-ledger campaign passed their frozen periodicity, reference and matched-comparison gates. The window campaign used `185a919`; its MRT/no-LES numerical path remains unchanged. Current dev also contains independently scoped test/documentation changes and the LES correction, which do not extend MRT qualification. | This does not qualify other collision/boundary combinations or every refinement interface. Timing improvements are not additional accuracy evidence. |
+| Uniform forced channel | Six Poiseuille GPU cases on `8403956`: SRT/TRT/MRT at wall-normal resolutions H16/H32 passed. | This is the tested analytic channel configuration, not open-boundary or all-layout qualification. |
+| Uniform restart | Ten SRT/MRT checkpoint GPU tests passed on `8403956`; the separate representative TRT same-method double-buffer continuation GPU case also passed (one test). | This covers the tested same-method continuation configurations. No LES, Jet or refined checkpoint claim follows. |
+| Taylor–Green refinement | Independent topology checks are available. The actual-rate phase GPU regression passed one test across two layouts, with errors 1.584e-7 and 4.500e-9. | The physical interface-accuracy gap remains open. Passing topology and phase checks does not establish convergence or close that accuracy gate. |
+| Porous Couette and annulus | Prior campaign evidence exists and must remain associated with its original setup and source. | The reconstructed annulus is a validation helper, not qualification of a public boundary-condition API. Do not infer absence of evidence from a missing current rerun. |
+| LES normalization | The reviewed correction is integrated. Exact `95cb6d2` GPU validation passed all nine observations and frozen gates, with three warm-up/reset records, verified 101-source/import identity, DONE and exit 0. Last two SGS decrement relative errors were 6.276e-4 and 6.124e-5 against the unchanged 0.15 gate. | Scope is unforced uniform D2Q9/SRT, shifted FP32, double-buffer streaming and the tested wall-bounded x-periodic shear. No TRT/MRT LES, forcing, EsoPull, objects, refinement or 3D turbulence qualification follows. |
+
+Historical uniform SRT cylinder-startup and inlet-rounding findings remain separate
+from the passed MRT DFG result. Raw exchange/window consistency is a measurement
+contract, not a general stress or force-accuracy certification. Existing source-pinned
+runners may intentionally reject a newer checkout; never silently repin old receipts.
+
+## Remaining work
+
+The related host checks passed (67 checks); they do not replace the GPU or
+physical-accuracy evidence above. Preserve the existing SRT checkpoint cases,
+historical LES manifests and all frozen numerical criteria.
+
+Continue the TG accuracy investigation using its actual fine-level rates and
+the established analytic convention. Keep the physical accuracy gate open until
+the relevant comparison passes. Review this integration independently before
+publication; no new merged-commit GPU run is claimed here.
+
+No repeat of the accepted full MRT DFG or Cartesian expansion across unsupported
+combinations is required by this document. Main integration remains a separate
+review of complete, bounded feature scope.
@@ -0,0 +1,49 @@
+# DFG 2D-1 (Re 20) against the official reference intervals
+
+`tests/validation/run_dfg_re20.py` runs the steady DFG 2D-1 case on the refined
+channel root (D40 root, D80 wide fine patch) and on the uniform D80 grid. Geometry,
+inflow, initial state, layout and observation are those of the pinned Re100 runner
+(`run_refined_dfg.py`, `re100_helpers.py`, both unchanged); only the lattice
+viscosity is set for Re 20 (root tau 0.56, fine 0.62, uniform 0.62, lattice speed 0.01).
+
+Label: "compared against the official reference bands", not a full benchmark
+certification: the outlet is pressure-NEQ (`neq_extrap`), not do-nothing, and the
+inlet is local Zou-He.
+
+## Quantities
+
+- Cd = 2 Fx / (rho U^2 D), Cl = 2 Fy / (rho U^2 D), interval means over each sample.
+- p_diff = p(0.15, 0.2) - p(0.25, 0.2), linear extrapolation to the exact surface
+  points (`re100_helpers.pressure_probes`). The helper returns dp / (rho U^2) in
+  scaled units; p_diff = dp * 0.04 for U = 0.2 m/s, rho = 1. Both are reported.
+- Official intervals (Schaefer & Turek 1996): Cd [5.57, 5.59], Cl [0.0104, 0.0110],
+  p_diff [0.1172, 0.1176].
+
+## Bounds and steady rule (frozen before any run)
+
+- End time t* = 60 (30 s physical): 240,000 refined root steps, 480,000 uniform steps.
+- One sample every t* = 0.5 (0.25 s) at the end of a synchronized root step; Cd and
+  Cl are interval means. Trailing window t* 50..60 inclusive (21 samples).
+- Steady rule (our engineering choice, not official): in the window, for each of Cd,
+  Cl, p_diff, max - min <= 10 % and |least-squares slope x window| <= 2 % of its
+  official interval width (range 2e-3 / 6e-5 / 4e-5; slope 4e-4 / 1.2e-5 / 8e-6).
+  Absolute limits, so the small Cl is never a divisor. Never relaxed after a run.
+- The verdict uses the window mean; the distance to the nearest interval edge is
+  reported for each quantity (negative outside).
+- Force sign: fluid on cylinder, x along the inflow, y up from the bottom wall; Cd > 0
+  and the official Cl > 0 (`cd_positive` is reported).
+- Not steady at t* = 60: status `NOT_STEADY`, no interval verdict. Health limits
+  (Mach <= 0.2, rho in [0.5, 1.5]) stop the run with `UNHEALTHY`.
+- Steady: `WITHIN_INTERVALS` or `OUTSIDE_INTERVALS`, with the per-quantity verdict.
+
+## Run
+
+```
+python tests/validation/run_dfg_re20.py --output <new-dir> --plan
+CUDA_VISIBLE_DEVICES=<n> python tests/validation/run_dfg_re20.py --case both \
+    --collision SRT --output <new-dir> --max-wall-seconds <cap>
+```
+
+The uniform D80 control separates method error from refinement error. `--plan` writes `plan.json` only. A GPU run writes `plan.json` and `result.json`
+(per case: lattice parameters, every sample, window ranges, status, verdict).
+Host contract tests: `tests/unit/test_dfg_re20.py`.
@@ -113,47 +113,3 @@ These criteria are fixed before the continuation runs. There is no new physical
 Actual earlier scale-1 pilot cost was 52.3884s launch-to-exit, 46.1414s after READY for800 steps with full-field diagnostics every base step. A naive same-diagnostic3200-step scale-1 extrapolation is about210s; the new876 field samples reduce transfer count but add ray diagnostics and compression. Use conservative planning envelopes210–500s for scale1 and900–3200s for scale2, not timing guarantees. The scale2 conservative envelope accounts for4x cells and4x root steps; sparse sampling mitigates but does not eliminate that cost. Post-READY safety caps are1200s and5400s respectively, replacing the unsuitable fixed1800s assumption. Root owns compilation/startup timeout and serial launch decisions.

 Device-envelope estimates remain128/512MiB for s1/s2, at least1GiB free (or twice estimate). Output estimate is under64MiB per run including five primitive snapshots and876 sample records; no all-time populations are saved. Plan/metadata and sampled files are rewritten at each100-reference-time window to retain bounded partial evidence if interrupted. READY still follows compiled warmup and state/time reset, before measured stepping begins.
-
-## Dense-root temporal diagnostic: preparation only
-
-The audited continuation did not resolve time quadrature: all48 audited stride2 RMS changes exceeded their stride1 CV residuals, by factors1.55–11.46. That historical failure and its gates remain unchanged. The following is a measurement-only experiment to test this explanation, not a solver fix, a physics pass, or permission to extend GPU work. The separate periodic global stock-minus-raw mass residual also persists; denser contour quadrature cannot by itself resolve it.
-
-Future launch, only after the computer is online and root approves a serialized bounded run:
-
-```sh
-CUDA_VISIBLE_DEVICES="$VERIFIED_IDLE_GPU" python tests/validation/run_jet_circle_cv.py --repo "$PWD" --output "$NEW_DENSE_S1" --dense-root --steps 800 --scale 1
-CUDA_VISIBLE_DEVICES="$VERIFIED_IDLE_GPU" python tests/validation/run_jet_circle_cv.py --repo "$PWD" --output "$NEW_DENSE_S2" --dense-root --steps 800 --scale 2
-python tests/validation/analyze_jet_cv_continuation.py "$NEW_DENSE_S1" "$NEW_DENSE_S2" --output "$DENSE_COMPARISON_JSON"
-```
-
-This mode fixes Re100,beta.1 and reference t=0..800 (t*≈.9965), with800/3200 root intervals and801/3201 endpoint records. It is mutually exclusive with --continuation and rejects longer runs or other scales/Re. Physical geometry, source manifest, solver, velocity commands, kernel and raw observation path are unchanged. There are no new finest-hop hooks. Existing GPU population downloads occur every root interval for CPU primitive diagnostics; those distributions are discarded rather than retained.
-
-Dense scalar records contain CV endpoint inventories, each flux and split momentum terms, density/speed, physical composite mass, exact cumulative raw partitions and cumulative absolute aperture net mass. Rays remain on the exact old reference cadence:0..100 at dt1, then104..800 at dt4,276 samples for each scale. Schema2 maps their smaller arrays through ray_sample_indices into the dense records. Full primitive snapshots occur only at reference0,100,800. Saved data is capped at32MiB per case; dense arrays are scalar diagnostics, not all-time full fields. Schema/unit metadata, file hashes, complete-schedule checks and matched root time intervals remain mandatory.
-
-The analyzer derives root strides1,2,4 and the exact old cadence from the SAME dense primitive records, always keeping window endpoints and the SAME raw ledger. At scale2 these root strides correspond to reference dt.25,.5,1; the old cadence corresponds to root gaps4/16. Its fourth quadrature result and change from dense are separately identified. Existing residual normalizations and historical files are preserved. No automatic refinement-progress flags are issued for this temporal-only mode. Root-sampled agreement cannot certify finer-than-root time convergence or exclude aliasing; an unresolved outcome stays unresolved, with no automatic longer run.
-
-Three distinct throughput quantities must remain separate:
-
- Prescribed unsigned nominal mass at rho_ref=1:2*Q_command*window_duration.
- Observed raw absolute NET aperture mass: sum over root intervals of abs(dm_blowing)+abs(dm_suction), after spatial reduction within each aperture. This retains reversals between root intervals that abs(window-net) loses. Within-aperture or within-root/substep reversals remain unresolved by this ledger. The legacy raw_gross_mass_over_nominal field retains its old abs(window-net)/ONE-aperture-nominal definition; it is not this new quantity.
- Sparse reconstructed absolute Q/M: true-arc quadrature of abs(u.n) and abs(rho*u.n), using each existing linear/quadratic ray estimate, followed by old-cadence time integration. This is estimator-dependent measured-field evidence, not exact wall truth, not dense-root quadrature, and not a prescribed nominal flow.
-
-Global stock-minus-raw mass balance is reported per root interval and summed per window, in reference mass units. Raw total-minus-wall/aperture partition discrepancies are also separate. Neither is bundled into the CV temporal error, and neither is called a proven raw-extractor defect. Source/geometry/state validity, both signed and gross budgets, old failures, and physics_validation_pass=false remain intact.
-
-Planning envelope from the earlier52-second800-step pilot: s1 60–240s, s2 600–2400s, with conservative post-READY caps1200/5400s. Scale2 has4x cells and4x root observations over the same reference horizon; sparse saving reduces output, not all CPU/PCIe observation cost. These are preparation estimates, not measured timings. Root owns startup/compilation timeout and GPU serialization. No GPU/remote action was taken to prepare this option.
-
-Budget enforcement preflights the projected retained file sizes before replacing each snapshot/window report or the sample+metadata pair. If32MiB would be exceeded, staged replacements are removed, the previous verified sample/hash-metadata pair remains intact, and execution stops. Temporary compression files need additional short-lived disk space and are distinct from the32MiB retained-evidence cap. This protects budget failures; it is not a filesystem crash-recovery transaction. Both raw partition identities, total−wall−aperture and aperture−blowing−suction, are saved separately from stock/raw and CV residuals.
-
-## Optional shifted-FP32 representation control
-
-The dense-root campaign accepts `--shifted-fp32` as an explicit numerical-representation control. Without it, the historical unshifted FP32 default remains unchanged. Use a fresh output directory and append the flag to the reviewed dense command, for example:
-
-```bash
-CUDA_VISIBLE_DEVICES="$VERIFIED_IDLE_GPU" python tests/validation/run_jet_circle_cv.py --repo "$PWD" --output "$NEW_SHIFTED_DENSE_S1" --dense-root --steps 800 --scale 1 --shifted-fp32
-```
-
-Root owns the future GPU launch and scale selection. This option requires the bounded dense campaign; it does not authorize another run. Geometry, Jet profile/amplitude, initial physical seed, viscosity, time horizon, root sampling, sparse rays/fields, normalization, thresholds, budgets and prior failed gates are unchanged. The `case.ddf_shifting` flag and `case.storage_variant` receipt appear in the plan, READY, window report and sample metadata. Preserve the unshifted evidence in its original directory. Compare like-scale records at identical root endpoints, including CV mass/momentum, global stock-minus-raw balance, raw partitions and measured aperture flux. A reduced mass residual would support representation sensitivity; it would not establish physical convergence or prove that every residual is roundoff.
-
-Both production blocked steppers already support this representation: initialization takes physical populations and encodes `g=f-w` to FP32; public download returns physical `f` decoded in FP64. The runner deliberately retains its historical FP32-rounded physical equilibrium seed for BOTH variants rather than also changing initial precision. Encoding introduces a small additional rounding difference: maximum per-population change 1.035e-10 and density change 3.201e-10 at both scales for this seed. Thus the decoded starting states are not bit-identical. The residual initial density offset is therefore not removed. All existing measurement routines receive physical populations and apply no extra weight shift. Snapshots keep the existing primitive-field precision.
-
-The existing `BlockCurvedBoundary` optional-input adapter invokes the same shifted-aware BFL helper as the AMR boundary: wall density restores the unit background, raw mass uses reflected-minus-outgoing (opposite weights cancel), and reaction restores twice the direction weight. No host correction is applied to raw rows. The shifted branch selects `compute_feq_from_momentum` rather than unshifted `compute_feq`, so this control changes existing numerical algebra as well as storage representation. It cannot isolate storage precision alone or identify collision as the sole cause. Block collision preserves the density perturbation in its shifted branch; blocked halo copies and AMR transfers already support shifted storage. This option changes no solver/kernel/API or source manifest. Existing shifted-storage/Jet host tests and the new runner codec tests are CPU evidence only; numerical GPU behavior remains to be checked by the reviewed control.
@@ -0,0 +1,71 @@
+# Matched MRT DFG pilot preparation
+
+Preparation only: this test-only extension reuses the existing runner and existing MRT
+operator. GPU admission awaits reviewed MRT capability results; no pilot/full execution
+is implied by CPU preflight. No production, historical SRT manifest, reference data,
+periodic gate, geometry, initialization or observation algorithm is changed here.
+
+## Selection and provenance
+
+Use `--collision MRT` for **both** uniform D80 and refined root D40/fine D80. There are
+no independently selectable collision models per case. Default remains SRT.
+
+MRT verifies `data/refined_dfg/source_manifest_mrt.json`, pinned to reviewed numerical
+source snapshot `3ea131e92c057843034f11a1c574301a2430dfce`, including the shared geometry,
+pressure/cycle helpers and official reference. Test-only commits may change HEAD without
+changing this numerical source pin. Plan, READY, case summaries and comparison separately
+record `checkout_revision` and `checkout_dirty` using existing source-provenance helper;
+the runner hash remains separate. Collision is recorded in every receipt, and full-mode
+validation rejects missing or different collision labels in plan, either summary or either
+READY receipt, in addition to existing source/runner/health/time checks.
+
+The historical SRT manifest remains byte-for-byte unchanged. SRT on the MRT candidate
+checkout deliberately fails that source pin; use a matching historical checkout via
+`--source` for SRT. No fallback or automatic repinning is permitted. Historical SRT
+failure/diagnostic evidence remains attached to its original source and runner hashes;
+it cannot authorize an MRT full run. The existing failed-observation step-reporting
+undercount is not changed in this narrowly scoped selection patch.
+
+## Frozen physical comparison
+
+All settings remain those documented in `refined_dfg.md`: U_lattice=.01, physical mean
+U=1 m/s, D=.1 m, shear ν=.001 m²/s, fixed physical domain/body/wall planes, patch
+(40,24,320,140), shifted FP32 double buffers, no LES/forcing/Jets, finest dx=.00125 m,
+finest dt=.0000125 s, unchanged half-cell frame conversion and axis-specific phase.
+Force interval accumulation, physical leaf mass, pressure interpolation, flux sampling,
+safety thresholds, t*=5 pilot and t*=300 cap are unchanged. Existing accuracy/periodicity
+criteria are imported unchanged. Both MRT cases are fresh runs; old MRT or SRT results
+are not substituted as controls.
+
+Both cases use the **existing MRT pressure-NEQ branch**: only unknown directions q2/6/8
+are extrapolated. This differs from SRT's all-nine .5-damped branch; the retained
+`srt_neq_damp=.5` configuration value is inactive under MRT. Backflow clamp remains off.
+The outlet is still noncanonical relative to exact DFG do-nothing conditions.
+
+The reused MRT operator keeps fixed kinetic rates `s_e=s_eps=s_q=1.2` on all levels;
+only the shear rate follows existing per-level viscosity. Physical bulk relaxation
+therefore differs between coarse and fine levels. Transfer operators and subcycling
+are unchanged. This is the candidate's declared behavior, not a new fully mode-scaled
+MRT transfer scheme. Do not tune rates, the patch or gates after seeing outcomes.
+Capability smoke/parity gates do not establish DFG accuracy or speedup.
+
+## CPU and admission commands
+
+From this checkout:
+
+```sh
+python tests/unit/test_refined_dfg.py
+python tests/validation/run_refined_dfg.py --collision MRT --mode plan --output /tmp/new-mrt-dfg-plan
+```
+
+After root verifies the candidate MRT root/parity/refinement capability results and admits
+an idle device, the paired pilot may use the existing bounds and external watchdog:
+
+```sh
+CUDA_VISIBLE_DEVICES=<admitted-device> timeout --signal=TERM --kill-after=30s <hard-budget>s python tests/validation/run_refined_dfg.py --collision MRT --mode pilot --gpu-gates-approved --max-wall-seconds <soft-budget> --output <new-mrt-pilot-directory>
+```
+
+The flag is caller attestation, not evidence. An unhealthy first case prevents the second.
+Existing strict pilot receipt validation and calibrated wall-time controls remain; full
+mode is not being admitted as part of this preparation. Root must review both healthy
+pilot outcomes and separately decide any full-run admission.
@@ -0,0 +1,58 @@
+# Refined DFG MRT timing harness (measurement only)
+
+`tests/validation/time_refined_dfg.py` times the matched MRT refined/uniform DFG Re100 setup of
+`run_refined_dfg.py` (same configuration, geometry and initial state functions). No numerical,
+physics-gate or production change; no force or accuracy result is produced.
+
+| Variant | Loop | Force reads |
+|---|---|---|
+| A | refined `step(1)` + `read_raw_exchange` per base step | runner-like force-read workload (values discarded) |
+| B | refined `step(1)` only, no host reads (`observe_raw_exchange` stays on) | timing-only |
+| C | refined single `step(N)` | timing-only; ledger keeps the final base interval only |
+| E | uniform `sim.run(<=100)` + `read_force` | runner-like force-read workload (values discarded) |
+| E' | uniform single `sim.run(2N)` | timing-only; at most a whole-window average, different summation order |
+
+- No variant retains a valid force history; A/E omit the runner's interval aggregation and
+  validation, and no variant includes macro/probe/CSV costs. Results are not full benchmark
+  throughput.
+- Status lines: `CONSTRUCTED` (construction/JIT complete) and `WARM_READY` (first warm-up and
+  health check passed) per case.
+- Equal simulated duration: N refined base steps vs 2N uniform D80 steps.
+- Every repeat starts from the same fresh state (refined `initialize`, uniform `snapshot/restore`)
+  and the same warm-up; construction/JIT, warm-up, downloads and parity checks are untimed.
+- The actual stepping stream is synchronized explicitly before and after each timed loop; the
+  wall timer (`time.perf_counter`) is the only source. No CUDA-event span is called kernel time.
+- `--max-wall-seconds` is required for GPU runs (outer timeout, checked between variants and
+  every 100 steps in per-step loops).
+- Final populations and NaN masks must be bitwise identical to the first A repeat (A/B/C) or the
+  first E repeat (E/E'); refined and uniform grids are never compared. Leaf/fluid populations
+  must be finite. Physical health (finite leaf/fluid macros, rho in [0.5, 1.5], max Mach <= 0.2,
+  the existing runner limits) is checked after warm-up and after each timed window. Matching NaN
+  is accepted only as a storage mask; any infinity or level-count mismatch fails parity. All
+  parity/health checks are untimed.
+- Cases run sequentially (uniform, then refined) in one process with startup serialized;
+  variants are interleaved within each repeat. A-B and B-C are measured comparative
+  differences under GPU variability, not exact causal decompositions.
+
+Usage (root selects one verified idle GPU):
+
+    PYTHONPATH=src python -m unittest tests/unit/test_time_refined_dfg.py
+    python tests/validation/time_refined_dfg.py --output <new> --plan
+    CUDA_VISIBLE_DEVICES=<gpu> python tests/validation/time_refined_dfg.py --output <new> --max-wall-seconds <s>
+
+Defaults: 2000 base steps, 200 warm-up base steps, 3 repeats. Profiler capture and the
+`observe_raw_exchange=False` variant are deferred until these measurements exist.
+
+## A versus observation-window ledger (`tests/validation/time_window_dfg.py`)
+
+Measurement-only comparison on the same shifted-MRT refined setup: A (per-base `step(1)` +
+`read_raw_exchange`, summed per 80-base-step interval), W (`start_exchange_window`, `step(80)`,
+one window read) and W1 (window with 80 x `step(1)`, isolating the read pattern from call
+batching). Same fresh state, warm-up and simulated duration; populations must be bitwise equal
+to the first A repeat and per-interval total impulses within the documented engineering
+tolerance, all outside timing. The candidate source is recorded (checkout revision, dirty flag,
+file hashes); frozen refined-DFG manifests/results are not used or changed.
+
+    PYTHONPATH=src python -m unittest tests/unit/test_time_window_dfg.py
+    python tests/validation/time_window_dfg.py --output <new> --plan
+    CUDA_VISIBLE_DEVICES=<gpu> python tests/validation/time_window_dfg.py --output <new> --max-wall-seconds <s>
@@ -0,0 +1,117 @@
+# Opt-in observation-window ledger in the DFG runner
+
+This test-only integration adds `--exchange-window` to `run_refined_dfg.py`. It uses the
+existing production ledger; no collision, boundary, transfer, physical setup, reference,
+periodicity gate or acceptance threshold changes. Default remains the historical
+per-base-step observation path. Uniform stepping/force accumulation is unchanged.
+
+For the refined case, each existing observation interval opens a new ledger at completed
+base step `begin`, advances exactly the same `n` base intervals, and reads the integrated
+root-lattice impulse for `[begin, begin+n]`. The contract requires root units, `window`
+kind, `2*n` fine samples, matching endpoints, and fine dt=.5. The existing coefficient
+calculation still divides this impulse by `n` and `.5*U_lattice**2*D_root`; force timestamps
+remain `(begin+n/2)*U_lattice/D_root`. It does not divide an already averaged force again.
+Pressure/macro/physical-leaf mass measurements and safety checks remain at the original
+interval end. Pilot interval is 80 root steps; early full-run intervals remain 2000, and
+any final shortened interval uses its actual `n`.
+
+The opt-in uses one `step(n)` call and one window read per observation, rather than `n`
+Python calls/readbacks. Internal subcycling and per-base synchronization remain owned by
+the same backend. Cooperative deadline checks surround that complete interval; unlike
+the default path they cannot interrupt between base steps inside `step(n)`. The existing
+external hard watchdog is still required. The full-run cadence/cap is documented here,
+but this preparation does not admit a full run or a GPU operation.
+
+## Provenance and receipt separation
+
+`source_manifest_window.json` pins the reviewed a233c9032487a6006e950d1e327079b00466c410
+snapshot (production ledger origin d930) plus existing helper/reference files. Both SRT
+and MRT are supported by this explicit opt-in source pin; collision selection remains
+independent and shared by the two cases. Existing SRT and MRT manifests are untouched.
+Default mode continues to reject the changed candidate under those historical pins;
+use a matching historical `--source` checkout to run its default path. There is no
+silent repinning, source fallback, or reuse of historical outputs as candidate evidence.
+
+Plan, READY, summaries, timeout/comparison receipts now record `observation_mode` as
+`last_base_step` or `window`, alongside collision and actual checkout provenance. On a
+uniform receipt this labels its **paired campaign's refined observation mode**, not a
+change to uniform observation. Full-mode pilot validation rejects missing or mismatched
+mode labels in the plan, either case summary, and either READY receipt. Source/runner
+hash, collision, completeness and health checks remain. Cross-mode pilot reuse is denied.
+
+The earlier short A/W/W1 timing/capability evidence is not a full-run speedup or accuracy
+claim. Mathematical impulse integration/units are unchanged; floating-point reduction
+order can differ, so bitwise equality of force sums is not promised. Physics acceptance
+continues to use the existing frozen gates. Historical failures/results are untouched.
+
+CPU preparation commands, from the repository root:
+
+```sh
+python tests/unit/test_refined_dfg.py
+PYTHONPATH=src python -m unittest tests.unit.test_raw_exchange_window tests.unit.test_time_window_dfg -v
+python tests/validation/run_refined_dfg.py --collision MRT --exchange-window --mode plan --output /tmp/new-window-dfg-plan
+```
+
+Root must independently review and admit any execution. An admitted paired pilot uses
+the existing watchdog, device selection, `--gpu-gates-approved`, positive
+`--max-wall-seconds` and a new output directory, adding only `--exchange-window` to the
+selected collision's pilot command. No GPU or remote action was performed for this patch.
+
+## Public Jet diagnostic option
+
+`--collision MRT --exchange-window --jet-scenario zero|fixed|reverse` selects
+unshifted FP32, no LES, constant transfer on both existing public backends. Default
+`none` and the historical manifests remain unchanged. `zero` registers both Jets at
+zero amplitude and retains every existing DFG verdict, including pressure. `fixed`
+uses outward radial parabolic sectors at pi/2 and 3pi/2, half-width pi/12, peaks
+(+.001,-.001). Both use the existing D40/D80 geometry and U=.01. Sector origins are
+(80.5,81) in root edge coordinates and (160,160.5) in uniform node coordinates;
+radial extent is [0,1.005R]. `reverse` keeps those peaks through t*=300, updates both
+public setters at that completed boundary, and continues to 305 with opposite signs.
+
+Fixed diagnostic windows are 250–260, 260–270, 270–280, 280–290 and 290–300; reversal
+adds 300–305. Histories retain exact interval endpoints and root/uniform lattice
+impulses. The refined window uses total exchange; uniform uses public `read_force`
+batch averages. Driven windows report mean/min/max/RMS Cd/Cl without applying DFG
+reference or periodicity gates. Exit zero means healthy execution, not qualification;
+`matched_case_pass` remains false. No independent CV or stress-load claim is made.
+
+This opt-in records current source/helper hashes with the existing manifest format,
+checkout revision/dirty state and runner hash. Pilot/full must match that snapshot
+and the exact scenario. It does not relabel current source as historical evidence.
+Use the existing bounded plan/pilot/full commands with the three option flags above;
+full requires the matching completed t*=5 paired pilot. `step_seconds` includes force
+readback; observation/overhead and total wall time are separate, not kernel throughput.
+
+Add `--observe-cv` to record independent scalar control-volume samples from the
+already downloaded public macros. The pilot exercises this path at t*=.02..5;
+full records 501 endpoints at 290..300. Each `cv_history.jsonl` row contains actual
+root time, preceding interval start/duration/impulse, and two inventories/outward
+fluxes ordered [mass,Px,Py]. Exclude the first row's preceding impulse: that row
+supplies the initial inventory. Uniform native impulse converts by .5² to root
+units; refined ledger impulse is already in root units. Explicit native-aligned
+contours differ by .25 root cells in x and are recorded in the plan. Cropping
+retains the two-cell face-gradient stencils. No fields or per-link arrays are saved.
+`cv_observation_seconds` is the CV portion of observation/overhead time. Helper hash
+and the observation flag must match pilot/full. Time integration, temporal
+coarsening and any physical assessment remain separate offline work.
+
+## Bounded resolution and placement controls
+
+Defaults remain `--case both --uniform-diameter 80 --placement wide`. Single-case
+runs use `--case uniform` or `--case refined` and never report a matched-case pass.
+Their own reference/periodicity or driven-diagnostic results remain available.
+A single zero-Jet full run exits successfully only when its periodicity and the
+unchanged complete DFG reference verdict pass; driven completion is not qualification.
+
+The D160 option requires `--case uniform --uniform-diameter 160` and an explicit
+public Jet scenario. U and Jet speeds stay .01 and ±.001; viscosity is .016,
+grid 3521×658, center (320,320.5), radius80. CV uses root spacing/time factor .25,
+origin (.375,.75), impulse factor .0625, root viscosity .004, and x-face shift .125.
+
+`--case refined --placement compact` selects root bounds (48,48,128,128), fine
+168×168 and origin (46,46), with the same D40/fineD80 body/Jet resolution. Its CV
+contours are (52,52,112,112) and (50,50,120,120); complete face-gradient stencils
+are clear of both solids and the transfer footprint. Compact is refined-only.
+CV metadata gives each grid's spacing/origin/contours explicitly. Case, uniform
+diameter and placement must match the newly completed pilot in every receipt.
@@ -90,8 +90,8 @@ def main():
    # The caller owns the CUDA context; the stepper must be closed first (the
    # nested with-statement does that).
    with CudaContext(0) as context, FixedPatchStepper(
-            cfg, BOUNDS, context=context, coarse_boundary=args.mode,
-            fine_objects=[body], fine_block=fine_block) as run:
+            cfg, context=context, coarse_boundary=args.mode, refinements=[BOUNDS],
+            level_blocks=[None, fine_block], level_objects=[(), (body,)]) as run:
        p = run.patch
        # Rest equilibrium is already postcollision G, so no initial collision is
        # needed. Non-leaf entries (covered, ghost, solid) are discarded by initialize.
@@ -148,8 +148,8 @@ def main():
                  samples=[], status='running', last_synchronized_coarse_step=0)
    start, run = time.monotonic(), None
    try:
-        with CudaContext(0) as context, FixedPatchStepper(cfg, BOUNDS, context=context,
-                coarse_boundary='slot_reservoir') as run:
+        with CudaContext(0) as context, FixedPatchStepper(cfg, context=context,
+                coarse_boundary='slot_reservoir', refinements=[BOUNDS]) as run:
            p = run.patch
            masks = [np.ones(p.coarse_shape, bool), p.fine_kind == ACTIVE]
            masks[0][[0, -1]] = False
@@ -48,7 +48,7 @@ def main():
                  nx=16, ny=16, viscosity=.1, velocity=1e-3, rho=1.0,
                  lattice_model="D2Q9", collision="SRT", streaming="double_buffer",
                  store_precision="FP32", ddf_shifting=False, les_enabled=False)
-    with CudaContext(0) as context, PeriodicPatchStepper(cfg, (4, 4, 12, 12), context=context) as run:
+    with CudaContext(0) as context, PeriodicPatchStepper(cfg, context=context, refinements=[(4, 4, 12, 12)]) as run:
        p = run.patch
        coarse = shear_equilibrium(p.coarse_shape, (0, 0), 1.0, cfg.ny)
        fine = shear_equilibrium(p.fine_shape, p.fine_origin, .5, cfg.ny)
@@ -207,22 +207,30 @@ def surface_link_velocity(objects, cfg, flags, fluid_idx, dir, body_id, rx, ry,
                          jets=(), hits=None, *, _shifted_blocked=False):
    """Per-link prescribed surface velocity (n, 2) FP32 and aperture mask.

+    See _surface_links, which also returns the unit-amplitude jet shapes.
+    """
+    return _surface_links(objects, cfg, flags, fluid_idx, dir, body_id, rx, ry, jets, hits,
+                          _shifted_blocked=_shifted_blocked)[:2]
+
+
+def _surface_links(objects, cfg, flags, fluid_idx, dir, body_id, rx, ry,
+                   jets=(), hits=None, *, _shifted_blocked=False):
+    """(velocity, aperture, jet shape, jet id); the last two are None without jets.
+
    Host-only and storage-neutral: rows follow the given physical cut-link
-    order. Returns (None, None) when neither an object carries surface
+    order. Returns all None when neither an object carries surface
    actuation nor a jet is given. Jets need true FP64 ``hits`` (n, 2) and may
    not share a link with each other or with a legacy aperture.
    Shifted storage is privately enabled only by the all-blocked stepper.
    """
    enabled = [obj for obj in objects if obj.surface_actuation is not None]
    if not enabled and not jets:
-        return None, None
-    from ..lbm.descriptors import FLUID, SOLID
-    if np.any((flags[fluid_idx] & FLUID) == 0) or np.any(flags[fluid_idx] & SOLID):
-        raise ValueError("Surface cut links must have active fluid receivers")
-    if len(np.unique(fluid_idx.astype(np.uint64)*cfg.nq+dir)) != len(dir):
-        raise ValueError("Surface boundary requires unique cut-link writers")
+        return None, None, None, None
+    from .preprocess.flag_overlay import validate_cut_link_ownership
+    validate_cut_link_ownership(flags, fluid_idx, dir, cfg.nq)
    surface_velocity = np.zeros((len(dir), 2), np.float32)
    surface_aperture = np.zeros(len(dir), bool)
+    shape = jet_id = None
    for obj in enabled:
        obj.validate_surface_actuation(cfg)
        selected = body_id == obj.obj_id
@@ -255,4 +263,4 @@ def surface_link_velocity(objects, cfg, flags, fluid_idx, dir, body_id, rx, ry,
            raise ValueError("Jet overlaps a SurfaceActuation aperture")
        surface_velocity[driven] = jet_link_velocity(jets, shape, jet_id)[driven]
        surface_aperture |= driven
-    return surface_velocity, surface_aperture
+    return surface_velocity, surface_aperture, shape, jet_id
@@ -27,7 +27,7 @@ import pycuda.driver as cuda

 from .objects import SimObject
 from .registry import BodyRegistry
-from .preprocess.flag_overlay import merge_flag_masks
+from .preprocess.flag_overlay import merge_flag_masks, validate_cut_link_ownership
 from ..cuda.compiler_v2 import obs_layout
 from ..cuda.obs_layout import ObsLayout
 from ..lbm.descriptors import (
@@ -369,9 +369,9 @@ class ObjectManager:

        Args:
            objects: List of SimObject instances to process.
-            domain_flags: Optional uint16 flags for donor-cell classification.
+            domain_flags: Optional uint16 flags for receiver/donor classification.
            sensor_cell_counts_out: Int array to fill with per-object sensor
-                cell counts.  If provided, ``fill(0)`` is called first.
+                cell counts after the full geometry has passed validation.
            hits_out: List that receives one FP64 (n, 2) array of true hit
                points row-aligned with the cut-link columns (for Jets).

@@ -394,8 +394,8 @@ class ObjectManager:
        active_fluid = ((domain_flags & FLUID) != 0) & ((domain_flags & SOLID) == 0)
        force_owners: set[int] = set()

-        if sensor_cell_counts_out is not None:
-            sensor_cell_counts_out.fill(0)
+        sensor_counts = (np.zeros_like(sensor_cell_counts_out)
+                         if sensor_cell_counts_out is not None else None)

        ez = None
        if self.cfg and self.cfg.is_d3q19:
@@ -430,9 +430,9 @@ class ObjectManager:
                if len(cells) > 0:
                    s_cells.append(cells)
                    s_ids.append(ids)
-                    if (sensor_cell_counts_out is not None
-                            and 0 <= obj.obj_id < sensor_cell_counts_out.size):
-                        sensor_cell_counts_out[obj.obj_id] = int(len(cells))
+                    if (sensor_counts is not None
+                            and 0 <= obj.obj_id < sensor_counts.size):
+                        sensor_counts[obj.obj_id] = int(len(cells))
            if obj.is_force_region and hasattr(obj, 'get_sensor_list'):
                cells, ids = obj.get_sensor_list(self.nx, self.ny, self.nz)
                keep = active_fluid[cells]
@@ -461,8 +461,9 @@ class ObjectManager:
        r_fr_ids = np.concatenate(fr_ids) if fr_ids else np.zeros(0, dtype=np.int32)

        r_hit = np.concatenate(cl_hit) if cl_hit else np.zeros((0, 2))
-        if hits_out is not None:
-            hits_out.append(r_hit)
+        # Passive walls need the same ownership guarantees as driven walls.
+        # Overlapping solids are not a supported union-boundary operation.
+        validate_cut_link_ownership(domain_flags, r_idx, r_dir, self.nq)
        if self.jets or any(obj.surface_actuation is not None for obj in objects):
            # Reject unresolved apertures/ownership before sync or restart mutates state.
            from ..lbm.curved_links import CurvedLinkSoA
@@ -470,6 +471,11 @@ class ObjectManager:
            links.assign_host(r_idx, r_dir, r_q, r_bid, r_rx, r_ry, r_rz, r_fallback)
            links.assign_surface(objects, self.cfg, domain_flags, jets=self.jets, hits=r_hit)

+        if sensor_cell_counts_out is not None:
+            sensor_cell_counts_out[:] = sensor_counts
+        if hits_out is not None:
+            hits_out.append(r_hit)
+
        return (
            r_idx, r_dir, r_q, r_bid,
            r_rx, r_ry, r_rz, r_fallback,
@@ -487,8 +493,6 @@ class ObjectManager:
                the caller has already prepared and uploaded the final flag field
                for this geometry, such as during initialization.
        """
-        self._telemetry_field = field
-
        next_flags = self.build_flags(field.build_channel_flags()) if rebuild_flags else field.flag
        hits = []

@@ -499,6 +503,7 @@ class ObjectManager:
            fr_cells, fr_obj_id,
        ) = self.build_compact_lists(domain_flags=next_flags, hits_out=hits)

+        self._telemetry_field = field
        if rebuild_flags:
            field.flag = next_flags
            field.upload_flags()
@@ -1,6 +1,6 @@
 # CelerisLab/body/preprocess/flag_overlay.py
 """
-Flag overlay: merge per-object flag masks onto a clean domain base.
+Flag overlay and cut-link ownership checks against the merged domain.
 """

 from __future__ import annotations
@@ -12,6 +12,15 @@ import numpy as np
 from ...lbm.descriptors import FLUID, SOLID, SENSOR_FLAG, FRC_REGION


+def validate_cut_link_ownership(flags, fluid_idx, directions, nq):
+    """Reject solid receivers and multiple writers to one population."""
+    if np.any((flags[fluid_idx] & FLUID) == 0) or np.any(flags[fluid_idx] & SOLID):
+        raise ValueError("Cut links must have active fluid receivers")
+    writers = fluid_idx.astype(np.uint64) * nq + directions
+    if len(np.unique(writers)) != len(directions):
+        raise ValueError("Boundary requires unique cut-link writers")
+
+
 def merge_flag_masks(
    base: np.ndarray,
    masks: List[np.ndarray],
@@ -54,14 +54,18 @@ def _write(path: str, content: str):


 def generate_config(cfg: LBMConfig, n_objects: int = 0,
-                    *, build_root: Optional[str] = None) -> str:
+                    *, build_root: Optional[str] = None, block_root_bc: int = 0) -> str:
    """Snapshot kernels and render headers in a fresh private directory.

    Returns its path. Pass it explicitly to compile_kernel for interleaved
    builds. Legacy generate_config(); compile_kernel() remains context-local.
    The caller owns cleanup_build_dir() once the loaded module is no longer
    needed for recompilation/debugging. No package files are changed.
+    block_root_bc specializes a blocked root module; fine/dense builds use 0.
    """
+    if (isinstance(block_root_bc, bool) or not isinstance(block_root_bc, int)
+            or block_root_bc not in (0, 1, 2)):
+        raise ValueError("block_root_bc must be an integer mode 0, 1 or 2")
    macros = cfg.to_macros()
    if isinstance(n_objects, bool) or not isinstance(n_objects, int) or n_objects < 0:
        raise ValueError("n_objects must be a nonnegative integer")
@@ -71,14 +75,15 @@ def generate_config(cfg: LBMConfig, n_objects: int = 0,
    try:
        shutil.copytree(_KERNEL_DIR, build_dir, dirs_exist_ok=True,
                        ignore=shutil.ignore_patterns("*.ptx", "*.cubin", "*.tmp"))
-        _render_config(macros, n_objects, os.path.join(build_dir, "config"))
+        _render_config(macros, n_objects, os.path.join(build_dir, "config"),
+                       block_root_bc=block_root_bc)
        digest = hashlib.sha256()
        for path in sorted(Path(build_dir).rglob("*")):
            if path.is_file():
                digest.update(str(path.relative_to(build_dir)).encode())
                digest.update(path.read_bytes())
        metadata = {"source_sha256": digest.hexdigest(), "config": asdict(cfg),
-                    "n_objects": n_objects}
+                    "n_objects": n_objects, "block_root_bc": block_root_bc}
        _write(os.path.join(build_dir, ".celeris-build"), json.dumps(metadata, sort_keys=True))
    except BaseException:
        shutil.rmtree(build_dir)
@@ -101,7 +106,7 @@ def cleanup_build_dir(build_dir: Optional[str]) -> None:
        _last_ptx_path.set(None)


-def _render_config(m: dict, n_objects: int, cdir: str):
+def _render_config(m: dict, n_objects: int, cdir: str, *, block_root_bc: int = 0):
    _write(os.path.join(cdir, "config_grid.h"), f"""{_HEADER}\
 // Layer: Global / Grid
 #ifndef CELERIS_CONFIG_GRID_H
@@ -165,6 +170,9 @@ def _render_config(m: dict, n_objects: int, cdir: str):
 #define STORE_PRECISION  {m['STORE_PRECISION']}
 #define USE_DDF_SHIFTING {m['USE_DDF_SHIFTING']}

+// Internal blocked root mode: 0=periodic/fine, 1=slot/reservoir, 2=channel.
+#define BLOCK_ROOT_BC {block_root_bc}
+
 #define USE_LES {m['USE_LES']}
 #define LES_CS  {m['LES_CS']}
 #define LES_CLOSED_FORM {m['LES_CLOSED_FORM']}
@@ -204,11 +204,21 @@ class PeriodicBlockStepper:
                raise

    def step(self, n=1):
-        """Advance n steps: halo refresh, then core pull/collide, per step."""
+        """Advance n steps: halo refresh, then core pull/collide, per step.
+
+        All n steps are enqueued in order on the one stream and the host waits
+        once before returning (same launches and bits as n step(1) calls).
+        Asynchronous device errors surface at that single wait, so they are not
+        attributed to the step that caused them; call step(1) repeatedly to
+        localize one. On any failure the instance is failed and step_count keeps
+        its entry value.
+        """
        if isinstance(n, bool) or not isinstance(n, Integral) or n < 0:
            raise ValueError("n must be a nonnegative integer")
        with self._lock, self.ctx.activate():
            self._require("ready")
+            if n == 0:
+                return
            kw = dict(block=self._block, stream=self._stream)
            try:
                self._status = "advancing"
@@ -224,9 +234,9 @@ class PeriodicBlockStepper:
                    self._step(self._current, self._spare, np.uint32(self.layout.halo),
                               self._tables.get("flags", np.uintp(0)), np.uintp(0),  # no kind
                               grid=self._grid, **kw)
-                    self._stream.synchronize()
-                    self._current, self._spare = self._spare, self._current
-                    self._step_count += 1
+                    self._current, self._spare = self._spare, self._current  # host handles only
+                self._stream.synchronize()
+                self._step_count += n
                self._status = "ready"
            except BaseException:
                self._status = "failed"
@@ -1,4 +1,4 @@
-"""Host contract for the blocked root's uniform-SRT channel boundary.
+"""Host contract for the blocked root's uniform SRT/MRT channel boundary.

 Boundary ghosts are evolved state, but are not physical fluid leaves. Halo
 ownership remains periodic to reproduce the uniform kernel's wrapped pulls.
@@ -29,7 +29,7 @@ def validate_channel_config(cfg, blocks):
 def validate_channel_transfers(pair, layout, targets):
    """Reject actual exchange/closure overlap, not a padded geometric envelope.

-    Explosion donors and restriction receivers must use ordinary bulk SRT
+    Explosion donors and restriction receivers must use ordinary bulk collision
    semantics. Restriction writes receiver-local source slots; these may not
    overwrite the channel's extra immutable-input reads (pressure donor and
    same-node halfway-wall corrections). The slot check deliberately respects
@@ -94,12 +94,10 @@ class CurvedLinkSoA:
        """
        self.surface_velocity = self.aperture = None
        self.jets, self.jet_shape, self.jet_id = tuple(jets), None, None
-        self.surface_velocity, self.aperture = surface_link_velocity(
+        from ..body.jets import _surface_links
+        self.surface_velocity, self.aperture, self.jet_shape, self.jet_id = _surface_links(
            objects, cfg, flags, self.fluid_idx, self.dir, self.body_id, self.rx, self.ry,
            jets=self.jets, hits=hits)
-        if self.jets:
-            from ..body.jets import jet_link_shapes
-            self.jet_shape, self.jet_id = jet_link_shapes(self.jets, hits)

    def set_jet_amplitude(self, index, amplitude, stream=None):
        """Rewrite jet rows from cached shapes; re-upload only the velocity column.
@@ -1,5 +1,6 @@
 // CelerisLab/lbm/kernels/blocks.cu
-// One periodic level of fixed-size blocks (lbm/blocks.py layout). Separate
+// One fixed-size blocked level (lbm/blocks.py layout), specialized at compile
+// time for periodic/fine, slot/reservoir or channel stepping. Separate
 // compilation entry: NX, NY are the block window including halo, so index_f
 // and linear_index address one block; blockIdx.z selects the block, whose
 // populations start at b*NQ*TOTAL_CELLS (block-contiguous, Q-major inside).
@@ -12,151 +13,37 @@
 #include "core/params.cuh"
 #include "core/flags.cuh"
 #include "core/obs.cuh"
+#include "core/cell_kind.cuh"
 #include "operators/macro.cuh"
 #include "operators/collision_srt.cuh"
+#if COLLISION_MODEL == 2
+#include "operators/collision_mrt.cuh"
+#endif
 #include "streaming/pull_double_buffer.cuh"
 #include "boundary/curved_boundary.cuh"
-#include "boundary/planar_velocity.cuh"

-#if DIM != 2 || NQ != 9 || COLLISION_MODEL != 0 || STORE_PRECISION != 0 || USE_LES || STREAMING_MODEL != 0
-#error "Blocks require FP32 D2Q9 SRT double buffers without LES"
+#if DIM != 2 || NQ != 9 || (COLLISION_MODEL != 0 && COLLISION_MODEL != 2) || STORE_PRECISION != 0 || USE_LES || STREAMING_MODEL != 0
+#error "Blocks require FP32 D2Q9 SRT or MRT double buffers without LES"
+#endif
+#ifndef BLOCK_ROOT_BC
+#error "Blocks require a generated BLOCK_ROOT_BC mode"
+#elif BLOCK_ROOT_BC < 0 || BLOCK_ROOT_BC > 2
+#error "BLOCK_ROOT_BC must be 0, 1 or 2"
 #endif

-// Fixed-patch cell kinds, matching refinement.py ACTIVE/INNER_GHOST/OUTER_GHOST.
-constexpr unsigned char KIND_ACTIVE = 0u, KIND_INNER = 1u, KIND_OUTER = 2u;
+#if BLOCK_ROOT_BC == 1
+#include "boundary/block_wall.cuh"
+#endif
+#if BLOCK_ROOT_BC != 2
+#include "operators/block_collision.cuh"
+#endif

-// Zero-initialized for ordinary blocks/fine levels. Set only for parent walls;
-// NX/NY remain local storage strides, never physical wall coordinates.
-struct BlockWall { unsigned int nx, ny, slot_width; float amplitude; };
-extern "C" { __constant__ BlockWall d_block_wall; }
-
-// Halo refresh: block cell ids b*TOTAL_CELLS+c, sources are always core cells.
-extern "C" __global__ void BlockHaloCopy(
-    fpxx* f, const uint64_t* dst, const uint64_t* src, unsigned int count)
-{
-    unsigned int row = blockIdx.x * blockDim.x + threadIdx.x;
-    if (row >= count) return;
-    const uint64_t d = dst[row], s = src[row];
-    fpxx* to = f + (d / TOTAL_CELLS) * NQ * TOTAL_CELLS;
-    const fpxx* from = f + (s / TOTAL_CELLS) * NQ * TOTAL_CELLS;
-    for (unsigned int q = 0; q < NQ; ++q)
-        to[index_f(d % TOTAL_CELLS, q)] = from[index_f(s % TOTAL_CELLS, q)];
-}
-
-// Fixed-patch explosion into blocked fine storage: target = owner block cell
-// id of a patch-ghost cell; donors are parent block cell ids. Dense parent
-// storage is the one-window case with coarse_cells = full domain size.
-extern "C" __global__ void BlockExplode(
-    const fpxx* coarse, fpxx* fine, const uint64_t* target, const uint64_t* donor,
-    unsigned int count, unsigned long coarse_cells)
-{
-    unsigned int row = blockIdx.x * blockDim.x + threadIdx.x;
-    if (row >= count) return;
-    const uint64_t t = target[row];
-    fpxx* to = fine + (t / TOTAL_CELLS) * NQ * TOTAL_CELLS;
-    const uint64_t d = donor[row];
-    const fpxx* from = coarse + (d / coarse_cells) * NQ * coarse_cells;
-    for (unsigned int q = 0; q < NQ; ++q)
-        to[index_f(t % TOTAL_CELLS, q)] = from[q * coarse_cells + d % coarse_cells];
-}
-
-// Targets are receiver-local SOURCE slots for the immediately following pull.
-// Keep child summation order identical to PatchCoarseStep; no collision here.
-extern "C" __global__ void BlockCoalesce(
-    const fpxx* fine, fpxx* coarse, const uint64_t* target, const uint64_t* children,
-    unsigned int count)
-{
-    unsigned int row = blockIdx.x * blockDim.x + threadIdx.x;
-    if (row >= count) return;
-    const uint64_t* s = children + 4ul * row;
-    coarse[target[row]] = 0.25f * (fine[s[0]] + fine[s[1]] + fine[s[2]] + fine[s[3]]);
-}
-
-// Static cut links, receiver-local staging: cell is the receiver's local core
-// cell, so the existing BFL writes the solid-source window image that this
-// block's next pull reads (no halo copy between this kernel and BlockStep).
-// surface_velocity (nullable, 2 floats per link): prescribed fluid velocity on
-// fixed geometry, same convention as CurvedBoundaryKernel. Optional raw rows
-// (jx,jy,torque,dm) are unique physical links, never body-observation slots.
-extern "C" __global__ void BlockCurvedBoundary(
-    fpxx* f, const uint32_t* block, const uint32_t* cell, const unsigned char* dir,
-    const float* q, const unsigned char* fallback, unsigned int count,
-    const float* surface_velocity, const float* rx, const float* ry, float* raw)
-{
-    unsigned int row = blockIdx.x * blockDim.x + threadIdx.x;
-    if (row >= count) return;
-    float Uw = 0.0f, Vw = 0.0f;
-    if (surface_velocity != nullptr) {
-        const float u = surface_velocity[2 * row], v = surface_velocity[2 * row + 1];
-        if (u != 0.0f || v != 0.0f) { Uw = u; Vw = v; }
-    }
-    apply_bouzidi_link(dir[row], q[row], cell[row], f + (unsigned long)block[row] * NQ * TOTAL_CELLS,
-                       Uw, Vw, rx ? rx[row] : 0.0f, ry ? ry[row] : 0.0f,
-                       fallback[row], nullptr, -1, raw ? raw + 4ul * row : nullptr,
-                       raw ? raw + 4ul * row + 3 : nullptr);
-}
-
-// Same-stream BFL -> this row-owned accumulation -> pull step. No atomics,
-// no cross-row reduction and no history allocation proportional to substeps.
-extern "C" __global__ void BlockAccumulateExchange(
-    const float* raw, double* integral, unsigned int count, double h, double dt)
-{
-    unsigned int row = blockIdx.x * blockDim.x + threadIdx.x;
-    if (row >= count) return;
-    const unsigned long k = 4ul * row;
-    const double impulse = h * dt;
-    integral[k] += impulse * (double)raw[k];
-    integral[k + 1] += impulse * (double)raw[k + 1];
-    integral[k + 2] += h * impulse * (double)raw[k + 2];
-    integral[k + 3] += h * h * (double)raw[k + 3];
-}
-
-// Pull/collide/store core cells only; halo cells of out are left untouched.
-// flags (block cell ids, nullable): solid cores store NaN and never collide.
-// kind (block cell ids, nullable = all ACTIVE): OUTER skips the pull and
-// stores NaN, INNER pulls without collision, ACTIVE pulls and collides.
-extern "C" __global__ void BlockStep(const fpxx* in, fpxx* out, unsigned int halo,
-                                     const uint16_t* flags, const unsigned char* kind) {
-    unsigned int x, y; unsigned long k;
-    index_from_thread(x, y, k);
-    if (x < halo || y < halo || x >= NX - halo || y >= NY - halo) return;
-    const unsigned long base = (unsigned long)blockIdx.z * NQ * TOTAL_CELLS;
-    const unsigned long cell = (unsigned long)blockIdx.z * TOTAL_CELLS + k;
-    const unsigned char cell_kind = kind != nullptr ? kind[cell] : KIND_ACTIVE;
-    float f[NQ];
-    if (cell_kind == KIND_OUTER || (flags != nullptr && is_solid(flags[cell]))) {
-        for (int q = 0; q < NQ; ++q) f[q] = NAN;
-    } else {
-        unsigned long j[NQ];
-        compute_neighbors(x, y, j);  // Core neighbors stay inside the window: no wrap.
-        stream_pull_load(k, f, in + base, j);
-        if (cell_kind == KIND_ACTIVE) {
-            if (d_block_wall.nx != 0) {
-                const unsigned int bx = NX - 2 * halo, by = NY - 2 * halo;
-                const unsigned int nbx = d_block_wall.nx / bx;
-                const unsigned int gx = (blockIdx.z % nbx) * bx + x - halo;
-                const unsigned int gy = (blockIdx.z / nbx) * by + y - halo;
-                if (gy == 1)
-                    reconstruct_bottom_velocity(f, 0.0f, bottom_wall_normal_velocity(
-                        gx, d_block_wall.nx, d_block_wall.slot_width, d_block_wall.amplitude));
-                else if (gy == d_block_wall.ny - 2) reconstruct_top_reservoir(f, RHO);
-            }
-            float rho, ux, uy, feq[NQ];
-            compute_rho_u(f, rho, ux, uy);
-#if USE_DDF_SHIFTING
-            // Preserve the density perturbation before adding the unit reference.
-            const float drho = f[0]+f[1]+f[2]+f[3]+f[4]+f[5]+f[6]+f[7]+f[8];
-            const float jx = f[1]-f[2]+f[5]-f[6]+f[7]-f[8];
-            const float jy = f[3]-f[4]+f[5]-f[6]-f[7]+f[8];
-            compute_feq_from_momentum(drho, jx, jy, ux, uy, feq);
+// Kernels, in definition order: transfers, boundary staging, then the one full
+// step selected for this module (BlockStep, or BlockChannelStep for a channel root).
+#include "step/block_transfer.cu"
+#include "step/block_boundary.cu"
+#if BLOCK_ROOT_BC != 2
+#include "step/block_step.cu"
 #else
-            compute_feq(rho, ux, uy, feq);
-#endif
-            collide_srt_no_force(f, feq, d_params.omega);
-        }
-    }
-    stream_pull_store(k, f, out + base);
-}
-
-// Root channel closure; fine and periodic levels keep BlockStep.
 #include "step/block_channel.cu"
+#endif
@@ -0,0 +1,20 @@
+// Physical parent walls; NX/NY remain local storage strides.
+#ifndef CELERIS_BOUNDARY_BLOCK_WALL_CUH
+#define CELERIS_BOUNDARY_BLOCK_WALL_CUH
+
+#include "planar_velocity.cuh"
+
+struct BlockWall { unsigned int nx, ny, slot_width; float amplitude; };
+extern "C" { __constant__ BlockWall d_block_wall; }
+
+__device__ __forceinline__ void block_wall(float* f, unsigned int x, unsigned int y,
+                                         unsigned int halo) {
+    unsigned int gx, gy;
+    block_global_xy(x, y, halo, d_block_wall.nx, gx, gy);
+    if (gy == 1)
+        reconstruct_bottom_velocity(f, 0.0f, bottom_wall_normal_velocity(
+            gx, d_block_wall.nx, d_block_wall.slot_width, d_block_wall.amplitude));
+    else if (gy == d_block_wall.ny - 2) reconstruct_top_reservoir(f, RHO);
+}
+
+#endif
@@ -15,10 +15,13 @@
 // D2Q9 y-wall half-way bounce-back for pull double-buffer streaming.
 // ---------------------------------------------------------------------------
 #if LATTICE_MODEL == LATTICE_D2Q9
-__device__ inline void apply_wall_bb_d2q9_y_pull(unsigned int y,
-                                                  float* __restrict__ f,
-                                                  const fpxx* __restrict__ fi_in,
-                                                  unsigned long k)
+// Rows 1 and top_row (= physical ny - 2) next to walls at rows 0 and ny - 1.
+// y is the physical row; k addresses the node in fi_in (a block window may
+// have NX/NY strides different from the physical extent).
+__device__ inline void apply_wall_bb_d2q9_rows(unsigned int y, unsigned int top_row,
+                                               float* __restrict__ f,
+                                               const fpxx* __restrict__ fi_in,
+                                               unsigned long k)
 {
    if (y == 1) {
        // Directions sourced from y=0 wall in pull step: +y, +x+y, -x+y.
@@ -26,14 +29,22 @@ __device__ inline void apply_wall_bb_d2q9_y_pull(unsigned int y,
        f[5] = load_ddf(fi_in, index_f(k, 6u));
        f[8] = load_ddf(fi_in, index_f(k, 7u));
    }
-    else if (y == (unsigned int)(NY - 2)) {
-        // Directions sourced from y=NY-1 wall in pull step: -y, -x-y, +x-y.
+    else if (y == top_row) {
+        // Directions sourced from the y = ny - 1 wall in pull step: -y, -x-y, +x-y.
        f[4] = load_ddf(fi_in, index_f(k, 3u));
        f[6] = load_ddf(fi_in, index_f(k, 5u));
        f[7] = load_ddf(fi_in, index_f(k, 8u));
    }
 }

+__device__ inline void apply_wall_bb_d2q9_y_pull(unsigned int y,
+                                                  float* __restrict__ f,
+                                                  const fpxx* __restrict__ fi_in,
+                                                  unsigned long k)
+{
+    apply_wall_bb_d2q9_rows(y, (unsigned int)(NY - 2), f, fi_in, k);
+}
+
 // ---------------------------------------------------------------------------
 // D2Q9 y-wall free-slip (specular reflection) for pull double-buffer streaming.
 //
@@ -8,6 +8,9 @@
 #define STORE_PRECISION  0
 #define USE_DDF_SHIFTING 0

+// Internal blocked root mode: 0=periodic/fine, 1=slot/reservoir, 2=channel.
+#define BLOCK_ROOT_BC 0
+
 #define USE_LES 0
 #define LES_CS  0.160000f
 #define LES_CLOSED_FORM 1
@@ -0,0 +1,16 @@
+// CelerisLab – core/cell_kind.cuh
+// Fixed-patch cell kinds stored per block cell, matching lbm/refinement.py
+// ACTIVE/INNER_GHOST/OUTER_GHOST: OUTER is invalid (stores NaN, no pull),
+// INNER streams without collision, ACTIVE pulls and collides.
+#ifndef CELERIS_CORE_CELL_KIND_CUH
+#define CELERIS_CORE_CELL_KIND_CUH
+
+constexpr unsigned char KIND_ACTIVE = 0u, KIND_INNER = 1u, KIND_OUTER = 2u;
+
+// NaN populations mark a cell without valid state (OUTER ghost or solid core).
+__device__ __forceinline__ void fill_invalid(float* f)
+{
+    for (int q = 0; q < NQ; ++q) f[q] = NAN;
+}
+
+#endif
@@ -53,6 +53,18 @@ __device__ __forceinline__ void index_from_thread(unsigned int& x,
    k = (unsigned long)y * NX + x;
 }

+// Global cell of window cell (x, y) in block blockIdx.z of a row-major,
+// full-domain block layout domain_nx cells wide. NX/NY are the local strides.
+__device__ __forceinline__ void block_global_xy(unsigned int x, unsigned int y,
+                                                unsigned int halo, unsigned int domain_nx,
+                                                unsigned int& gx, unsigned int& gy)
+{
+    const unsigned int bx = NX - 2 * halo, by = NY - 2 * halo;
+    const unsigned int nbx = domain_nx / bx;
+    gx = (blockIdx.z % nbx) * bx + x - halo;
+    gy = (blockIdx.z / nbx) * by + y - halo;
+}
+
 // ---------------------------------------------------------------------------
 // Neighbor list (periodic BCs via modular arithmetic)
 // ---------------------------------------------------------------------------
@@ -0,0 +1,31 @@
+// Collision used by periodic/fine and slot/reservoir BlockStep.
+#ifndef CELERIS_OPERATORS_BLOCK_COLLISION_CUH
+#define CELERIS_OPERATORS_BLOCK_COLLISION_CUH
+
+#include "../core/params.cuh"
+#include "macro.cuh"
+#include "collision_srt.cuh"
+#if COLLISION_MODEL == 2
+#include "collision_mrt.cuh"
+#endif
+
+__device__ __forceinline__ void block_collide(float* f) {
+#if COLLISION_MODEL == 2
+    collide_mrt_unforced(f);  // SRT path below unchanged.
+#else
+    float rho, ux, uy, feq[NQ];
+    compute_rho_u(f, rho, ux, uy);
+#if USE_DDF_SHIFTING
+    // Preserve the density perturbation before adding the unit reference.
+    const float drho = f[0]+f[1]+f[2]+f[3]+f[4]+f[5]+f[6]+f[7]+f[8];
+    const float jx = f[1]-f[2]+f[5]-f[6]+f[7]-f[8];
+    const float jy = f[3]-f[4]+f[5]-f[6]-f[7]+f[8];
+    compute_feq_from_momentum(drho, jx, jy, ux, uy, feq);
+#else
+    compute_feq(rho, ux, uy, feq);
+#endif
+    collide_srt_no_force(f, feq, d_params.omega);
+#endif
+}
+
+#endif
@@ -0,0 +1,14 @@
+// CelerisLab – operators/bounce_back_swap.cuh
+// Full-way bounce-back at a wall node: swap every opposite pair (paired
+// order q, q+1). Needs only NQ; shared by the uniform and blocked steps.
+#ifndef CELERIS_OPERATORS_BOUNCE_BACK_SWAP_CUH
+#define CELERIS_OPERATORS_BOUNCE_BACK_SWAP_CUH
+
+__device__ __forceinline__ void bounce_back_swap(float* f) {
+    #pragma unroll
+    for (int i = 1; i < NQ; i += 2) {
+        float t = f[i]; f[i] = f[i+1]; f[i+1] = t;
+    }
+}
+
+#endif
@@ -114,6 +114,16 @@ __device__ __forceinline__ void collide_mrt_no_force(float* __restrict__ g,
    collide_mrt(g, rho, ux, uy, Fin, omega);
 }

+// Unforced MRT with the clamped device omega, as in collide_dispatch with zero
+// forcing. Shared by the blocked, channel-root and dense-patch collisions.
+__device__ __forceinline__ void collide_mrt_unforced(float* __restrict__ g)
+{
+    float rho, ux, uy;
+    compute_rho_u(g, rho, ux, uy);
+    collide_mrt_no_force(g, rho, ux, uy,
+        fminf(OMEGA_COLLISION_MAX, fmaxf(OMEGA_COLLISION_MIN, d_params.omega)));
+}
+
 #elif LATTICE_MODEL == LATTICE_D3Q19

 __device__ __forceinline__ void collide_mrt(float* __restrict__ g,
@@ -5,12 +5,7 @@
 #ifndef CELERIS_OPERATORS_HELPERS_CUH
 #define CELERIS_OPERATORS_HELPERS_CUH

-__device__ __forceinline__ void bounce_back_swap(float* f) {
-    #pragma unroll
-    for (int i = 1; i < NQ; i += 2) {
-        float t = f[i]; f[i] = f[i+1]; f[i+1] = t;
-    }
-}
+#include "bounce_back_swap.cuh"

 __device__ __forceinline__ void collide_dispatch(
    float* f, float rho_n,
@@ -5,7 +5,9 @@
 //   nu_t = (C_s * Delta)^2 * |S|,  Delta = 1 (lattice unit)
 //   omega_eff = 1 / (3*(nu + nu_t) + 0.5)
 //
-// |S| is estimated from non-equilibrium second-order moments using tau0.
+// |S| = sqrt(2 S_ij S_ij), with Delta = 1 in lattice units.
+// The stress estimate uses self-consistent tau_eff; tau0 is molecular.
+// Closed form uses full stress. Iteration uses deviatoric stress and a cap.
 // ============================================================================

 #ifndef CELERIS_OPERATORS_TURBULENCE_SMAG_CUH
@@ -65,12 +67,12 @@ __device__ __forceinline__ float compute_omega_smag(const float* __restrict__ f,

 #if LES_CLOSED_FORM
    // Closed-form Smagorinsky (no iteration):
-    //   ω = 2 / (τ₀ + √(τ₀² + 18·Cs²·√Q / ρ))
+    //   ω = 2 / (τ₀ + √(τ₀² + 18·√2·Cs²·√Q / ρ))
    // where Q = Πneq_ij · Πneq_ij (Frobenius norm squared)
    const float Q = pixx*pixx + piyy*piyy + 2.0f*pixy*pixy;
    const float sqrtQ = sqrtf(fmaxf(Q, 0.0f));
    const float smag_const_sq = LES_CS * LES_CS;
-    const float discriminant = tau0*tau0 + 18.0f * smag_const_sq * sqrtQ / rho_safe;
+    const float discriminant = tau0*tau0 + 18.0f * sqrtf(2.0f) * smag_const_sq * sqrtQ / rho_safe;
    const float tau_eff = 0.5f * (tau0 + sqrtf(fmaxf(discriminant, tau0*tau0)));
    return clamp_omega(1.0f / fmaxf(tau_eff, 0.500001f));
 #else
@@ -140,7 +142,7 @@ __device__ __forceinline__ float compute_omega_smag(const float* __restrict__ f,
                  + 2.0f*(pixy*pixy + pixz*pixz + piyz*piyz);
    const float sqrtQ = sqrtf(fmaxf(Q, 0.0f));
    const float smag_const_sq = LES_CS * LES_CS;
-    const float discriminant = tau0*tau0 + 18.0f * smag_const_sq * sqrtQ / rho_safe;
+    const float discriminant = tau0*tau0 + 18.0f * sqrtf(2.0f) * smag_const_sq * sqrtQ / rho_safe;
    const float tau_eff = 0.5f * (tau0 + sqrtf(fmaxf(discriminant, tau0*tau0)));
    return clamp_omega(1.0f / fmaxf(tau_eff, 0.500001f));
 #else
@@ -9,8 +9,12 @@
 #include "core/params.cuh"
 #include "core/flags.cuh"
 #include "core/obs.cuh"
+#include "core/cell_kind.cuh"
 #include "operators/macro.cuh"
 #include "operators/collision_srt.cuh"
+#if COLLISION_MODEL == 2
+#include "operators/collision_mrt.cuh"
+#endif
 #include "streaming/pull_double_buffer.cuh"
 #include "boundary/planar_velocity.cuh"
 #include "boundary/curved_boundary.cuh"
@@ -19,8 +23,8 @@ extern "C" {
 #include "step/curved_double.cu"
 }

-#if DIM != 2 || NQ != 9 || COLLISION_MODEL != 0 || STORE_PRECISION != 0 || USE_DDF_SHIFTING || USE_LES || STREAMING_MODEL != 0
-#error "Refinement requires unshifted FP32 D2Q9 SRT double buffers without LES"
+#if DIM != 2 || NQ != 9 || (COLLISION_MODEL != 0 && COLLISION_MODEL != 2) || STORE_PRECISION != 0 || USE_DDF_SHIFTING || USE_LES || STREAMING_MODEL != 0
+#error "Refinement requires unshifted FP32 D2Q9 SRT or MRT double buffers without LES"
 #endif

 // Enabled only in the validation build; no diagnostic arrays in normal builds.
@@ -32,89 +36,5 @@ __device__ unsigned int incoming_counts[NQ * TOTAL_CELLS];
 }
 #endif

-__device__ __forceinline__ void patch_collide(float* f, unsigned long k) {
-    float rho, ux, uy, feq[NQ];
-    compute_rho_u(f, rho, ux, uy);
-    compute_feq(rho, ux, uy, feq);
-    collide_srt_no_force(f, feq, d_params.omega);
-#ifdef CELERIS_REFINEMENT_AUDIT
-    ++collision_counts[k];
-#endif
-}
-
-extern "C" __global__ void PatchExplode(
-    const float* coarse, float* fine, const uint32_t* targets,
-    const uint32_t* donors, unsigned int count, unsigned long coarse_cells)
-{
-    unsigned int row = blockIdx.x * blockDim.x + threadIdx.x;
-    if (row >= count) return;
-    for (unsigned int q = 0; q < NQ; ++q)
-        fine[index_f(targets[row], q)] = coarse[q * coarse_cells + donors[row]];
-#ifdef CELERIS_REFINEMENT_AUDIT
-    ++explosion_counts[targets[row]];
-#endif
-}
-
-extern "C" __global__ void PatchFineStep(const float* in, float* out, const uint16_t* flags) {
-    unsigned int x, y; unsigned long k;
-    index_from_thread(x, y, k);
-    if (x >= NX || y >= NY) return;
-    float f[NQ];
-    // Outer halo is invalid after EACH hop, including when reusing the buffer
-    // that held explosion data. Inner halo only streams; it never collides.
-    if (x < 2 || y < 2 || x >= NX - 2 || y >= NY - 2
-            || (flags != nullptr && is_solid(flags[k]))) {
-        for (int q = 0; q < NQ; ++q) f[q] = NAN;
-    } else {
-        unsigned long j[NQ];
-        compute_neighbors(x, y, j);  // These interior targets never wrap.
-        stream_pull_load(k, f, in, j);
-        if (x >= 4 && y >= 4 && x < NX - 4 && y < NY - 4)
-            patch_collide(f, k);
-    }
-    stream_pull_store(k, f, out);
-}
-
-extern "C" __global__ void PatchCoarseStep(
-    const float* in, float* out, const float* fine,
-    const uint64_t* targets, const uint64_t* children, unsigned int count,
-    unsigned int x0, unsigned int y0, unsigned int x1, unsigned int y1,
-    unsigned int wall_aware)
-{
-    unsigned int x, y; unsigned long k;
-    index_from_thread(x, y, k);
-    if (x >= NX || y >= NY) return;
-    // Both buffers were poisoned at initialization; covered cells stay invalid.
-    if (x >= x0 && x < x1 && y >= y0 && y < y1) return;
-    if (wall_aware && (y == 0 || y == NY - 1)) return;
-    unsigned long j[NQ];
-    compute_neighbors(x, y, j);
-    float f[NQ];
-    stream_pull_load(k, f, in, j);
-    if (x >= x0 - 1 && x <= x1 && y >= y0 - 1 && y <= y1) {
-        for (unsigned int q = 1; q < NQ; ++q) {
-            uint64_t slot = index_f(k, q);
-            unsigned int lo = 0, hi = count;
-            while (lo < hi) {
-                unsigned int mid = lo + (hi - lo) / 2;
-                if (targets[mid] < slot) lo = mid + 1;
-                else hi = mid;
-            }
-            if (lo < count && targets[lo] == slot) {
-                const uint64_t* s = children + 4ul * lo;
-                f[q] = 0.25f * (fine[s[0]] + fine[s[1]] + fine[s[2]] + fine[s[3]]);
-#ifdef CELERIS_REFINEMENT_AUDIT
-                ++incoming_counts[slot];
-#endif
-            }
-        }
-    }
-    // Includes the eight grazing-corner links with UNCOVERED coarse donors.
-    // All replacement arrivals must be in place before computing rho/u.
-    if (wall_aware) {
-        if (y == 1) reconstruct_bottom_velocity(f, 0.0f, bottom_wall_normal_velocity(x));
-        else if (y == NY - 2) reconstruct_top_reservoir(f, RHO);
-    }
-    patch_collide(f, k);
-    stream_pull_store(k, f, out);
-}
+// Kernels: patch collision helper, PatchExplode, PatchFineStep, PatchCoarseStep.
+#include "step/patch_step.cu"
@@ -0,0 +1,42 @@
+// CelerisLab/lbm/kernels/step/block_boundary.cu
+// Receiver-local curved-boundary staging and its raw-exchange accumulation.
+// Part of the blocks.cu compilation entry; relies on its includes and guards.
+
+// Static cut links, receiver-local staging: cell is the receiver's local core
+// cell, so the existing BFL writes the solid-source window image that this
+// block's next pull reads (no halo copy between this kernel and BlockStep).
+// surface_velocity (nullable, 2 floats per link): prescribed fluid velocity on
+// fixed geometry, same convention as CurvedBoundaryKernel. Optional raw rows
+// (jx,jy,torque,dm) are unique physical links, never body-observation slots.
+extern "C" __global__ void BlockCurvedBoundary(
+    fpxx* f, const uint32_t* block, const uint32_t* cell, const unsigned char* dir,
+    const float* q, const unsigned char* fallback, unsigned int count,
+    const float* surface_velocity, const float* rx, const float* ry, float* raw)
+{
+    unsigned int row = blockIdx.x * blockDim.x + threadIdx.x;
+    if (row >= count) return;
+    float Uw = 0.0f, Vw = 0.0f;
+    if (surface_velocity != nullptr) {
+        const float u = surface_velocity[2 * row], v = surface_velocity[2 * row + 1];
+        if (u != 0.0f || v != 0.0f) { Uw = u; Vw = v; }
+    }
+    apply_bouzidi_link(dir[row], q[row], cell[row], f + (unsigned long)block[row] * NQ * TOTAL_CELLS,
+                       Uw, Vw, rx ? rx[row] : 0.0f, ry ? ry[row] : 0.0f,
+                       fallback[row], nullptr, -1, raw ? raw + 4ul * row : nullptr,
+                       raw ? raw + 4ul * row + 3 : nullptr);
+}
+
+// Same-stream BFL -> this row-owned accumulation -> pull step. No atomics,
+// no cross-row reduction and no history allocation proportional to substeps.
+extern "C" __global__ void BlockAccumulateExchange(
+    const float* raw, double* integral, unsigned int count, double h, double dt)
+{
+    unsigned int row = blockIdx.x * blockDim.x + threadIdx.x;
+    if (row >= count) return;
+    const unsigned long k = 4ul * row;
+    const double impulse = h * dt;
+    integral[k] += impulse * (double)raw[k];
+    integral[k + 1] += impulse * (double)raw[k + 1];
+    integral[k + 2] += h * impulse * (double)raw[k + 2];
+    integral[k + 3] += h * h * (double)raw[k + 3];
+}
@@ -1,5 +1,12 @@
+#if BLOCK_ROOT_BC != 2
+#error "BlockChannelStep requires BLOCK_ROOT_BC == 2"
+#endif
+
 // Root-only blocked counterpart of OneStep's D2Q9/SRT channel closure.
 // NX/NY are LOCAL strides; all physical boundary decisions use global coordinates.
+#include "../core/cell_kind.cuh"
+#include "../operators/bounce_back_swap.cuh"
+#include "../boundary/bounce_back.cuh"
 #include "../boundary/inlet/common.cuh"
 #include "../boundary/inlet/zou_he_local.cuh"
 #include "../boundary/outlet/pressure_neq.cuh"
@@ -15,15 +22,13 @@ extern "C" __global__ void BlockChannelStep(
    unsigned int x, y; unsigned long k;
    index_from_thread(x, y, k);
    if (x < halo || y < halo || x >= NX - halo || y >= NY - halo) return;
-    const unsigned int bx = NX - 2 * halo, by = NY - 2 * halo;
-    const unsigned int nbx = d_block_channel.nx / bx;
-    const unsigned int gx = (blockIdx.z % nbx) * bx + x - halo;
-    const unsigned int gy = (blockIdx.z / nbx) * by + y - halo;
+    unsigned int gx, gy;
+    block_global_xy(x, y, halo, d_block_channel.nx, gx, gy);
    const unsigned long base = (unsigned long)blockIdx.z * NQ * TOTAL_CELLS;
    const unsigned long cell = (unsigned long)blockIdx.z * TOTAL_CELLS + k;
    float f[NQ];
    if (kind != nullptr && kind[cell] == KIND_OUTER) {
-        for (int q = 0; q < NQ; ++q) f[q] = NAN;
+        fill_invalid(f);
    } else {
        unsigned long j[NQ];
        compute_neighbors(x, y, j);
@@ -31,35 +36,29 @@ extern "C" __global__ void BlockChannelStep(
        const bool wall = gy == 0 || gy == d_block_channel.ny - 1;
        const bool outlet = gx == d_block_channel.nx - 1;
        if (wall) {
-            // Wall owns all four corners. Ghosts pull and swap, never collide.
-            for (int q = 1; q < NQ; q += 2) {
-                const float t = f[q]; f[q] = f[q + 1]; f[q + 1] = t;
-            }
+            bounce_back_swap(f);  // Wall owns all four corners; ghosts never collide.
        } else if (gx == 0) {
            apply_zou_he_left_velocity_inlet_d2q9(
                f, inlet_target_u((float)gy, d_block_channel.ny, d_block_channel.velocity), 0.0f);
        } else if (outlet) {
            // Immutable input donor, receiver-local (also valid across a block seam).
            float donor[NQ];
-            for (int q = 0; q < NQ; ++q)
-                donor[q] = load_ddf(in + base, index_f(k - 1, q));
+            load_node(in + base, k - 1, donor);
            apply_pressure_outlet_d2q9(f, donor);
-        } else if (gy == 1) {
-            f[3] = load_ddf(in + base, index_f(k, 4));
-            f[5] = load_ddf(in + base, index_f(k, 6));
-            f[8] = load_ddf(in + base, index_f(k, 7));
-        } else if (gy == d_block_channel.ny - 2) {
-            f[4] = load_ddf(in + base, index_f(k, 3));
-            f[6] = load_ddf(in + base, index_f(k, 5));
-            f[7] = load_ddf(in + base, index_f(k, 8));
+        } else {
+            apply_wall_bb_d2q9_rows(gy, d_block_channel.ny - 2, f, in + base, k);
        }
        if (!wall && !outlet) {
+#if COLLISION_MODEL == 2
+            collide_mrt_unforced(f);
+#else
            // Match uniform SRT arithmetic, including its shifted equilibrium path.
            float rho, ux, uy, feq[NQ], forcing[NQ] = {};
            compute_rho_u(f, rho, ux, uy);
            compute_feq(rho, ux, uy, feq);
            const float omega = fminf(OMEGA_COLLISION_MAX, fmaxf(OMEGA_COLLISION_MIN, d_params.omega));
            collide_srt(f, feq, forcing, omega);
+#endif
        }
    }
    stream_pull_store(k, f, out + base);
@@ -0,0 +1,35 @@
+// CelerisLab/lbm/kernels/step/block_step.cu
+// Generic blocked pull/collide/store for periodic/fine and slot/reservoir levels.
+// Part of the blocks.cu compilation entry; relies on its includes and guards.
+#if BLOCK_ROOT_BC == 2
+#error "BlockStep is not built for the channel root (BLOCK_ROOT_BC == 2)"
+#endif
+
+// Pull/collide/store core cells only; halo cells of out are left untouched.
+// flags (block cell ids, nullable): solid cores store NaN and never collide.
+// kind (block cell ids, nullable = all ACTIVE): OUTER skips the pull and
+// stores NaN, INNER pulls without collision, ACTIVE pulls and collides.
+extern "C" __global__ void BlockStep(const fpxx* in, fpxx* out, unsigned int halo,
+                                     const uint16_t* flags, const unsigned char* kind) {
+    unsigned int x, y; unsigned long k;
+    index_from_thread(x, y, k);
+    if (x < halo || y < halo || x >= NX - halo || y >= NY - halo) return;
+    const unsigned long base = (unsigned long)blockIdx.z * NQ * TOTAL_CELLS;
+    const unsigned long cell = (unsigned long)blockIdx.z * TOTAL_CELLS + k;
+    const unsigned char cell_kind = kind != nullptr ? kind[cell] : KIND_ACTIVE;
+    float f[NQ];
+    if (cell_kind == KIND_OUTER || (flags != nullptr && is_solid(flags[cell]))) {
+        fill_invalid(f);
+    } else {
+        unsigned long j[NQ];
+        compute_neighbors(x, y, j);  // Core neighbors stay inside the window: no wrap.
+        stream_pull_load(k, f, in + base, j);
+        if (cell_kind == KIND_ACTIVE) {
+#if BLOCK_ROOT_BC == 1
+            block_wall(f, x, y, halo);
+#endif
+            block_collide(f);
+        }
+    }
+    stream_pull_store(k, f, out + base);
+}
@@ -0,0 +1,78 @@
+// CelerisLab/lbm/kernels/step/block_transfer.cu
+// Same-level halo refresh and 2:1 explosion/coalescence between blocked levels.
+// Part of the blocks.cu compilation entry; relies on its includes and guards.
+
+// Halo refresh: block cell ids b*TOTAL_CELLS+c, sources are always core cells.
+extern "C" __global__ void BlockHaloCopy(
+    fpxx* f, const uint64_t* dst, const uint64_t* src, unsigned int count)
+{
+    unsigned int row = blockIdx.x * blockDim.x + threadIdx.x;
+    if (row >= count) return;
+    const uint64_t d = dst[row], s = src[row];
+    fpxx* to = f + (d / TOTAL_CELLS) * NQ * TOTAL_CELLS;
+    const fpxx* from = f + (s / TOTAL_CELLS) * NQ * TOTAL_CELLS;
+    for (unsigned int q = 0; q < NQ; ++q)
+        to[index_f(d % TOTAL_CELLS, q)] = from[index_f(s % TOTAL_CELLS, q)];
+}
+
+// Fixed-patch explosion into blocked fine storage: target = owner block cell
+// id of a patch-ghost cell; donors are parent block cell ids. Dense parent
+// storage is the one-window case with coarse_cells = full domain size.
+extern "C" __global__ void BlockExplode(
+    const fpxx* coarse, fpxx* fine, const uint64_t* target, const uint64_t* donor,
+    unsigned int count, unsigned long coarse_cells)
+{
+    unsigned int row = blockIdx.x * blockDim.x + threadIdx.x;
+    if (row >= count) return;
+    const uint64_t t = target[row];
+    fpxx* to = fine + (t / TOTAL_CELLS) * NQ * TOTAL_CELLS;
+    const uint64_t d = donor[row];
+    const fpxx* from = coarse + (d / coarse_cells) * NQ * coarse_cells;
+    for (unsigned int q = 0; q < NQ; ++q)
+        to[index_f(t % TOTAL_CELLS, q)] = from[q * coarse_cells + d % coarse_cells];
+}
+
+// Experimental Schornbaum--Ruede (arXiv:1508.07982, Algorithm 2)
+// and Chen et al. (doi:10.1016/j.physa.2005.09.036) population interpolation.
+// Independent implementation of the mathematical stencil; no upstream source copied.
+// Stencil cells are owner cores; a disabled axis repeats its center twice.
+extern "C" __global__ void BlockExplodeProjected(
+    const fpxx* coarse, fpxx* fine, const uint64_t* target, const uint64_t* donor,
+    unsigned int count, unsigned long coarse_cells,
+    const uint64_t* neighbors, const float* offsets)
+{
+    unsigned int row = blockIdx.x * blockDim.x + threadIdx.x;
+    if (row >= count) return;
+    const uint64_t t = target[row], d = donor[row];
+    fpxx* to = fine + (t / TOTAL_CELLS) * NQ * TOTAL_CELLS;
+    for (unsigned int q = 0; q < NQ; ++q) {
+        float v[4];
+        for (unsigned int a = 0; a < 4; ++a) {
+            const uint64_t n = neighbors[4ul * row + a];
+            v[a] = coarse[(n / coarse_cells) * NQ * coarse_cells
+                          + q * coarse_cells + n % coarse_cells];
+        }
+        float gx = .5f * (v[1] - v[0]), gy = .5f * (v[3] - v[2]);
+        const float ex = d_cx[q], ey = d_cy[q];
+        if (q != 0) {
+            const float along = (ex * gx + ey * gy) / (ex * ex + ey * ey);
+            gx -= ex * along;
+            gy -= ey * along;
+        }
+        to[index_f(t % TOTAL_CELLS, q)] =
+            coarse[(d / coarse_cells) * NQ * coarse_cells + q * coarse_cells + d % coarse_cells]
+            + offsets[2ul * row] * gx + offsets[2ul * row + 1] * gy;
+    }
+}
+
+// Targets are receiver-local SOURCE slots for the immediately following pull.
+// Keep child summation order identical to PatchCoarseStep; no collision here.
+extern "C" __global__ void BlockCoalesce(
+    const fpxx* fine, fpxx* coarse, const uint64_t* target, const uint64_t* children,
+    unsigned int count)
+{
+    unsigned int row = blockIdx.x * blockDim.x + threadIdx.x;
+    if (row >= count) return;
+    const uint64_t* s = children + 4ul * row;
+    coarse[target[row]] = 0.25f * (fine[s[0]] + fine[s[1]] + fine[s[2]] + fine[s[3]]);
+}
@@ -0,0 +1,95 @@
+// CelerisLab/lbm/kernels/step/patch_step.cu
+// Dense fixed-patch collision, explosion and the fine/coarse steps.
+// Part of the refinement.cu compilation entry; relies on its includes, guards
+// and the optional CELERIS_REFINEMENT_AUDIT counters declared there.
+
+__device__ __forceinline__ void patch_collide(float* f, unsigned long k) {
+#if COLLISION_MODEL == 2
+    collide_mrt_unforced(f);
+#else
+    float rho, ux, uy, feq[NQ];
+    compute_rho_u(f, rho, ux, uy);
+    compute_feq(rho, ux, uy, feq);
+    collide_srt_no_force(f, feq, d_params.omega);
+#endif
+#ifdef CELERIS_REFINEMENT_AUDIT
+    ++collision_counts[k];
+#endif
+}
+
+extern "C" __global__ void PatchExplode(
+    const float* coarse, float* fine, const uint32_t* targets,
+    const uint32_t* donors, unsigned int count, unsigned long coarse_cells)
+{
+    unsigned int row = blockIdx.x * blockDim.x + threadIdx.x;
+    if (row >= count) return;
+    for (unsigned int q = 0; q < NQ; ++q)
+        fine[index_f(targets[row], q)] = coarse[q * coarse_cells + donors[row]];
+#ifdef CELERIS_REFINEMENT_AUDIT
+    ++explosion_counts[targets[row]];
+#endif
+}
+
+extern "C" __global__ void PatchFineStep(const float* in, float* out, const uint16_t* flags) {
+    unsigned int x, y; unsigned long k;
+    index_from_thread(x, y, k);
+    if (x >= NX || y >= NY) return;
+    float f[NQ];
+    // Outer halo is invalid after EACH hop, including when reusing the buffer
+    // that held explosion data. Inner halo only streams; it never collides.
+    if (x < 2 || y < 2 || x >= NX - 2 || y >= NY - 2
+            || (flags != nullptr && is_solid(flags[k]))) {
+        fill_invalid(f);
+    } else {
+        unsigned long j[NQ];
+        compute_neighbors(x, y, j);  // These interior targets never wrap.
+        stream_pull_load(k, f, in, j);
+        if (x >= 4 && y >= 4 && x < NX - 4 && y < NY - 4)
+            patch_collide(f, k);
+    }
+    stream_pull_store(k, f, out);
+}
+
+extern "C" __global__ void PatchCoarseStep(
+    const float* in, float* out, const float* fine,
+    const uint64_t* targets, const uint64_t* children, unsigned int count,
+    unsigned int x0, unsigned int y0, unsigned int x1, unsigned int y1,
+    unsigned int wall_aware)
+{
+    unsigned int x, y; unsigned long k;
+    index_from_thread(x, y, k);
+    if (x >= NX || y >= NY) return;
+    // Both buffers were poisoned at initialization; covered cells stay invalid.
+    if (x >= x0 && x < x1 && y >= y0 && y < y1) return;
+    if (wall_aware && (y == 0 || y == NY - 1)) return;
+    unsigned long j[NQ];
+    compute_neighbors(x, y, j);
+    float f[NQ];
+    stream_pull_load(k, f, in, j);
+    if (x >= x0 - 1 && x <= x1 && y >= y0 - 1 && y <= y1) {
+        for (unsigned int q = 1; q < NQ; ++q) {
+            uint64_t slot = index_f(k, q);
+            unsigned int lo = 0, hi = count;
+            while (lo < hi) {
+                unsigned int mid = lo + (hi - lo) / 2;
+                if (targets[mid] < slot) lo = mid + 1;
+                else hi = mid;
+            }
+            if (lo < count && targets[lo] == slot) {
+                const uint64_t* s = children + 4ul * lo;
+                f[q] = 0.25f * (fine[s[0]] + fine[s[1]] + fine[s[2]] + fine[s[3]]);
+#ifdef CELERIS_REFINEMENT_AUDIT
+                ++incoming_counts[slot];
+#endif
+            }
+        }
+    }
+    // Includes the eight grazing-corner links with UNCOVERED coarse donors.
+    // All replacement arrivals must be in place before computing rho/u.
+    if (wall_aware) {
+        if (y == 1) reconstruct_bottom_velocity(f, 0.0f, bottom_wall_normal_velocity(x));
+        else if (y == NY - 2) reconstruct_top_reservoir(f, RHO);
+    }
+    patch_collide(f, k);
+    stream_pull_store(k, f, out);
+}
@@ -21,6 +21,14 @@
 //   i.e. the population traveling in direction i at node n
 //   arrived from the node at n - c_i  = neighbor in direction opp(i)
 // ---------------------------------------------------------------------------
+// load_node: all NQ populations of node n as stored (no streaming).
+__device__ __forceinline__ void load_node(const fpxx* __restrict__ fi, unsigned long n,
+                                          float* __restrict__ f)
+{
+    for (int q = 0; q < NQ; ++q)
+        f[q] = load_ddf(fi, index_f(n, q));
+}
+
 __device__ __forceinline__ void stream_pull_load(unsigned long n,
                                                 float* __restrict__ f,
                                                 const fpxx* __restrict__ fi,
@@ -7,16 +7,26 @@ import numpy as np


 def summarize_exchange(rows, body_ids, aperture, *, body_id, level, h,
-                       time_end, window, reference_center):
+                       time_end, window, reference_center, duration=None):
    """Reduce FP64 interval integrals or convert FP32 last-substep raw rows.

    dt_l=h_l under acoustic 2:1 refinement. Local momentum j -> base force
    h*j -> impulse h*dt*j; torque adds one h; mass is h**2*dm.
+    window="window" reduces an FP64 observation-window ledger spanning
+    ``duration`` (integer >= 1) base intervals; rates divide by that duration.
    """
-    if window not in ("last_base_step", "last_substep"):
+    if window not in ("last_base_step", "last_substep", "window"):
        raise ValueError("unknown exchange window")
+    if window == "window":
+        if isinstance(duration, bool) or not isinstance(duration, (int, np.integer)) or duration < 1:
+            raise ValueError("window duration must be an integer number of base intervals >= 1")
+    elif duration is not None:
+        raise ValueError("duration applies only to window='window'")
    values = np.array(rows, dtype=np.float64, copy=True)
-    duration = 1.0 if window == "last_base_step" else h
+    if window == "window":
+        duration = float(duration)
+    else:
+        duration = 1.0 if window == "last_base_step" else h
    if window == "last_substep":
        values *= np.array([h*h, h*h, h*h*h, h*h])
    selected = np.asarray(body_ids) == body_id
@@ -31,6 +41,7 @@ def summarize_exchange(rows, body_ids, aperture, *, body_id, level, h,
    return dict(wall=reduce(selected & ~aperture), aperture=reduce(selected & aperture),
                total=reduce(selected), body_id=int(body_id), level=int(level),
                time_start=time_end-duration, time_end=time_end, dt=h,
-                sample_count=round(1/h) if window == "last_base_step" else 1,
+                sample_count=(round(duration/h) if window == "window"
+                              else round(1/h) if window == "last_base_step" else 1),
                window=window, units="base_lattice_per_unit_depth",
                definition="raw_boundary_exchange", reference_center=tuple(reference_center), valid=True)
@@ -52,17 +52,17 @@ class FixedPatch2D:
    def from_config(cls, cfg: LBMConfig, bounds) -> "FixedPatch2D":
        """Prepare maps without changing cfg or allocating coarse-sized tables.

-        The initial backend contract is D2Q9/SRT/FP32/double_buffer,
+        The backend contract is D2Q9/SRT or MRT/FP32/double_buffer,
        without LES. Two coarse cells of margin keep all halo donors in bounds;
        this does NOT certify that those donors are fluid or periodic.
        """
        checked = replace(cfg)
        checked.validate()
-        if (not checked.is_d2q9 or checked.collision != "SRT"
+        if (not checked.is_d2q9 or checked.collision not in ("SRT", "MRT")
                or checked.streaming != "double_buffer"
                or checked.store_precision != "FP32"
                or checked.les_enabled):
-            raise ValueError("FixedPatch2D requires D2Q9/SRT/FP32/double_buffer without LES")
+            raise ValueError("FixedPatch2D requires D2Q9/SRT or MRT/FP32/double_buffer without LES")
        bounds = tuple(bounds)
        if len(bounds) != 4 or any(isinstance(v, (bool, np.bool_))
                                   or not isinstance(v, Integral) for v in bounds):
@@ -451,7 +451,7 @@ def prepare_fine_boundary(cfg, patch, objects, *, wall_aware=False, jets=(),
    checked = replace(cfg)
    checked.validate()
    if (patch.coarse_shape != (cfg.ny, cfg.nx) or not checked.is_d2q9
-            or checked.collision != "SRT" or checked.streaming != "double_buffer"
+            or checked.collision not in ("SRT", "MRT") or checked.streaming != "double_buffer"
            or checked.store_precision != "FP32" or checked.les_enabled
            or patch.tau_coarse != 3*checked.viscosity+.5):
        raise ValueError("Fine boundary requires the matching fixed-patch configuration")
@@ -22,7 +22,7 @@ from .block_stepper import MAX_GRID_DIM
 from .hierarchy import build_hierarchy, is_rectangle
 from .refinement import ACTIVE, HALO, FixedPatch2D, FixedPatchSet2D, prepare_fine_boundary
 from .refinement_tables import (blocked_base_tables, blocked_fine_tables,  # noqa: F401 (re-export)
-                                blocked_kind, _prepare_blocked_boundary,
+                                blocked_kind, projected_explosion_tables, _prepare_blocked_boundary,
                                BLOCKED_BOUNDARY_DEVICE_COLUMNS)
 from .descriptors import SOLID
 from .raw_exchange import summarize_exchange
@@ -41,6 +41,8 @@ class _Pair:
    n_ghosts: int
    n_rows: int
    parent_cells: int    # parent block window cells (explode donor stride)
+    neighbors: object = None  # projected-only owner-core cells; constant allocates neither
+    offsets: object = None


@dataclass
@@ -63,52 +65,8 @@ def _level_name(level):
    return ("base", "fine", "child")[level] if level < 3 else f"level {level}"


-def _legacy_levels(bounds, *, fine_block, base_block, child, child_block, child_rectangles_in_parent,
-                   fine_objects, jets, child_objects, child_jets):
-    """Normalise the original two/three-level keywords to per-level lists (original errors)."""
-    if child is not None and child_rectangles_in_parent is not None:
-        raise ValueError("child and child_rectangles_in_parent are mutually exclusive")
-    nested = child is not None or child_rectangles_in_parent is not None
-    bounds = tuple(bounds)
-    if not is_rectangle(bounds) and (fine_block is None or base_block is None):
-        raise ValueError("several patches require fine_block and base_block")
-    fine_objects, jets = tuple(fine_objects), tuple(jets)
-    child_objects, child_jets = tuple(child_objects), tuple(child_jets)
-    if not nested and (child_objects or child_jets):
-        raise ValueError("child_objects/child_jets require a nested child")
-    if base_block is not None and fine_block is None:
-        raise ValueError("base_block requires fine_block")
-    refinements, blocks = [bounds], [base_block, fine_block]
-    objects, level_jets = [(), fine_objects], [(), jets]
-    if nested:
-        if child is not None and not is_rectangle(bounds):
-            raise ValueError("scalar child requires one parent patch; use child_rectangles_in_parent")
-        if fine_block is None or base_block is None or child_block is None:
-            raise ValueError("a nested child needs fine_block, base_block and child_block")
-        if fine_objects or jets:
-            raise ValueError("a nested child supports bodies/Jets only on L2; use child_objects/child_jets")
-        refinements.append(tuple(child) if child is not None else tuple(child_rectangles_in_parent))
-        blocks.append(child_block)
-        objects.append(child_objects)
-        level_jets.append(child_jets)
-    return refinements, blocks, objects, level_jets
-
-
-def _initial_levels(level_g, coarse_g, fine_g, child_g):
-    """One tuple of per-level arrays from initialize()'s positional or legacy named form."""
-    if coarse_g is None and fine_g is None:
-        if child_g is not None and len(level_g) != 2:
-            raise TypeError("child_g needs exactly the coarse and fine arrays before it")
-        return tuple(level_g) + (() if child_g is None else (child_g,))
-    if level_g:
-        raise TypeError("pass level arrays positionally or as coarse_g/fine_g/child_g, not both")
-    if coarse_g is None or fine_g is None:
-        raise TypeError("coarse_g and fine_g are both required in the named form")
-    return (coarse_g, fine_g) + (() if child_g is None else (child_g,))
-
-
 def _check_levels(refinements, blocks, objects, jets):
-    """Candidate limits shared by the list and the legacy entry points."""
+    """Candidate limits of the level lists, checked before any device work."""
    depth = len(refinements) + 1
    if depth < 2:
        raise ValueError("at least one refinement level is required")
@@ -117,13 +75,13 @@ def _check_levels(refinements, blocks, objects, jets):
            raise ValueError(f"{name} needs one entry per level ({depth})")
    for level, block in enumerate(blocks):
        if block is not None and len(block) != 2:
-            raise ValueError(f"{_level_name(level)}_block must be (by, bx)")
+            raise ValueError(f"level_blocks[{level}] must be (by, bx)")
    if objects[0] or jets[0]:
        raise ValueError("base-level bodies/Jets are not supported")
    if any(blocks[level - 1] is not None and blocks[level] is None for level in range(1, depth)):
        raise ValueError("a blocked level requires blocked refined levels below it")
    if not is_rectangle(refinements[0]) and (blocks[0] is None or blocks[1] is None):
-        raise ValueError("several patches require fine_block and base_block")
+        raise ValueError("several L1 patches require level_blocks[0] and level_blocks[1]")
    if depth > 2:
        if any(block is None for block in blocks):
            raise ValueError("three or more levels must all be blocked")
@@ -132,7 +90,14 @@ def _check_levels(refinements, blocks, objects, jets):


 class FixedPatchStepper:
-    """D2Q9/SRT/FP32, one unforced internal 2:1 patch in an x-periodic box.
+    """D2Q9 SRT/MRT FP32 fixed 2:1 refinement hierarchy, built from level lists.
+
+    ``refinements[l]`` gives level l+1 in level-l integer cells: one rectangle
+    (x0, y0, x1, y1) (FixedPatch2D, a fine window with its own origin) or a
+    sequence of rectangles (FixedPatchSet2D, a dependency-validated union on one
+    level-wide grid, public fine arrays (2*ny, 2*nx), NaN outside ACTIVE cells);
+    see lbm.hierarchy. ``level_blocks``, ``level_objects`` and ``level_jets``
+    hold one entry per level, L0 included (L0 bodies/Jets are not supported).

    ``coarse_boundary`` is ``periodic`` (default) or ``slot_reservoir``:
    a bottom on-site slot and top fixed-density reservoir from ``cfg``.
@@ -143,108 +108,91 @@ class FixedPatchStepper:
    actual channel closure footprint. Channel remapping is not supported.
    Periodic mode does not apply the wall/slot boundary fields in ``cfg``.
    Outer walls remain coarse; fine halo donors must be ordinary fluid.
-    ``fine_objects`` accepts fixed circles in coarse physical coordinates;
-    velocities are in coarse lattice units (dx=dt=1). Independent local copies
-    are projected at fine cell centers. Their complete stencil must be active
-    and disjoint from the actual two-hop transfer footprint.
-    These use the edge/cell-center frame (coarse centers I+.5), whereas ordinary Simulation objects use the integer-node frame.

-    ``initialize(coarse_g, fine_g)`` accepts physical Q-major (9,ny,nx) arrays
-    already in postcollision phase. It does not collide or build channel flags.
-    Every ``step()`` publishes only after both levels complete on one stream.
-    On a device/launch failure the instance becomes unusable: close and recreate
-    it, rather than pretending the partially advanced fine buffer rolled back.
+    Bodies are fixed circles in root (L0) physical coordinates; velocities are
+    in root lattice units (dx=dt=1). Independent local copies are projected at
+    fine cell centers; their complete stencil must be active and disjoint from
+    the actual two-hop transfer footprint. These use the edge/cell-center frame
+    (coarse centers I+.5), whereas ordinary Simulation objects use the
+    integer-node frame. Jets (body.jets.Jet) use the same frame and drive cut
+    links selected at their true hits; ``set_jet_amplitude(index, amplitude,
+    level=l)`` re-uploads the per-link velocity column only.
+
+    ``initialize(*level_g)`` accepts one physical Q-major (9, ny, nx) array per
+    level, already in postcollision phase. It does not collide or build channel
+    flags. Every ``step()`` publishes only after all levels complete on one
+    stream. On a device/launch failure the instance becomes unusable: close and
+    recreate it, rather than pretending a partially advanced buffer rolled back.
+
+    A ``level_blocks`` entry (by, bx) stores that level in blocks.cu storage:
+    the ENTIRE level shape, including the four-cell patch ghost band, is
+    partitioned by a non-periodic BlockLayout2D with one-cell same-level halos.
+    Patch kinds stay per cell (OUTER invalid, INNER stream only, ACTIVE
+    collide); halos are gathered before each hop. Public arrays keep the dense
+    shapes; only the allocation differs. A blocked level requires blocked
+    refined levels below it; several L1 rectangles and depth >= 3 require all
+    levels blocked. Blocked bodies are stationary circles, optionally
+    surface-actuated: prepare_fine_boundary decides legality on the dense grid,
+    then cut links are staged receiver-local per hop: halo -> BFL -> step, same
+    buffer. A blocked parent gathers halos before receiver-local coalescence
+    staging and pull/collision; covered cells are poisoned on every step.

-    ``fine_block=(by, bx)`` (opt-in) stores the fine level in
-    blocks.cu storage: the ENTIRE fine_shape, including the four-cell patch
-    ghost band, is partitioned by a non-periodic BlockLayout2D with one-cell
-    same-level halos. Patch kinds stay per cell (OUTER invalid, INNER stream
-    only, ACTIVE collide); halos are gathered before each fine hop. Public
-    arrays keep the dense (9, ny, nx) fine shape; only the allocation differs.
-    Blocked fine_objects are stationary circles, optionally surface-actuated:
-    prepare_fine_boundary decides legality on the dense fine grid, then cut
-    links are staged receiver-local per hop: halo -> BFL -> step, same buffer.
-    ``base_block=(by, bx)`` also blocks the parent; it requires ``fine_block``.
-    Parent halos precede receiver-local coalescence staging and pull/collision;
-    covered cells are explicitly poisoned on every step. Public shapes stay dense.
    ``observe_raw_exchange=True`` records blocked physical cut-link exchange
    without changing populations. read_raw_exchange reports the last complete
    base interval or last substep in base-lattice units per unit depth. This
    is boundary momentum reaction, not a validated nozzle/stress load. Dense
-    body layouts are not supported by this new diagnostic in this candidate.
-    ``jets`` (body.jets.Jet) use the same edge frame as ``fine_objects`` and
-    drive fine cut links selected at their true hits; ``set_jet_amplitude``
-    re-uploads the per-link velocity column only.
+    body levels are not supported by this diagnostic.
+    ``observe_window_exchange=True`` (requires observe_raw_exchange) adds a second
+    per-link FP64 ledger accumulated by the same kernel between
+    start_exchange_window() and read_exchange_window(); disabled by default.

-    Several patches: pass ``bounds`` as a sequence of (x0, y0, x1, y1)
-    rectangles (FixedPatchSet2D, dependency-validated union). This requires
-    fine_block and base_block; fine_objects/jets are projected once onto the
-    level-wide fine grid (each circle inside the union, body ids = object
-    positions, jet and writer checks level-wide), and
-    uses one level-wide fine grid (2*ny, 2*nx): public fine arrays have that
-    shape, NaN outside the patches' ACTIVE cells. The step sequence is the
-    blocked one above, with unique union transfers in one launch each.
+    Nested levels: a child set's coordinates index the allocated parent array,
+    including ghost bands and holes: root edge = parent fine_origin + index / 2
+    (zero origin for a parent set; a scalar parent keeps its shifted window
+    origin). A scalar child requires a scalar parent. Rectangle unions impose no
+    fixed gap rule: adjacent, overlapping and concave unions are accepted when
+    their actual transfer dependencies close (FixedPatchSet2D /
+    nest_patch_set). All regions share one buffer pair per level and the fixed
+    schedule of 2**l hops per base step at level l. Bodies/Jets are supported only on the
+    finest level of a nested hierarchy (L2 dx=dt=.25 in root units, unchanged
+    lattice velocity); every whole circle and its BFL stencil must fit strictly
+    away from that level's transfer footprint.

-    Three-level separated unions: ``child_rectangles_in_parent=[...]`` is
-    mutually exclusive with scalar ``child`` and accepts either parent form.
-    Coordinates index the allocated L1 array, including ghost bands and holes:
-    root edge = patch.fine_origin + L1 index / 2. A parent set has origin zero;
-    a scalar parent retains its shifted window origin. The child set's public
-    extent is twice the allocated L1 shape, even though storage is sparse.
-    Each pair requires gap >= 4 in its own parent-cell units. All regions share
-    one buffer pair per level and the fixed 1:2:4 schedule; L2-only bodies/Jets
-    below apply unchanged, with object IDs assigned over the whole level.
+    ``explosion="projected_linear"`` selects experimental transverse linear
+    reconstruction on each adjacent pair. Default "constant" is unchanged.
+    Projected mode requires periodic root, all-blocked SRT levels without
+    bodies/Jets or LES; this backend supplies no forcing. Geometry is generic,
+    but union/multilevel GPU and matched-physics qualification remain pending.

-    Three-level single chain: ``child`` bounds use L1 window cells; all three
-    levels must be blocked. ``child_objects`` and ``child_jets`` use the L0
-    edge frame, with L2 dx=dt=.25 and unchanged lattice velocity. L1 bodies
-    and Jets remain unsupported in a chain. Every whole circle and its BFL
-    stencil must fit strictly away from the L2 transfer footprint. L2 runs
-    halo -> BFL -> step four times per base step. Runtime child Jet changes
-    require ``set_jet_amplitude(index, amplitude, level=2)``.
-
-    Level lists (any depth): ``refinements[l]`` gives level l+1 in level-l
-    integer cells (scalar window or rectangle list, see lbm.hierarchy);
-    ``level_blocks``/``level_objects``/``level_jets`` hold one entry per level,
-    L0 included. They are mutually exclusive with the legacy keywords above,
-    which are normalised to the same lists. One recursive hop advances every
-    level: a child explodes from its parent's current hop source, takes two
-    hops, then the parent gathers halos, stages restriction, applies BFL and
-    steps. Depth >= 3 must be fully blocked with bodies/Jets on the finest level.
+    One recursive hop advances every level: a child explodes from its parent's
+    current hop source, takes two hops, then the parent gathers halos, stages
+    restriction, applies BFL and steps.
    """
-    def __init__(self, cfg, bounds=None, *, context, coarse_boundary="periodic", fine_objects=(),
-                 fine_block=None, base_block=None, jets=(), child=None, child_block=None,
-                 child_objects=(), child_jets=(), child_rectangles_in_parent=None,
-                 refinements=None, level_blocks=None, level_objects=None, level_jets=None,
-                 observe_raw_exchange=False):
+    def __init__(self, cfg, *, context, refinements, coarse_boundary="periodic",
+                 level_blocks=None, level_objects=None, level_jets=None,
+                 observe_raw_exchange=False, observe_window_exchange=False, explosion="constant"):
        if HALO != 4:
            raise RuntimeError("refinement.cu requires a four-cell fine halo")
        if coarse_boundary not in ("periodic", "slot_reservoir", "channel"):
            raise ValueError("coarse_boundary must be periodic, slot_reservoir or channel")
-        if refinements is None:
-            if bounds is None:
-                raise ValueError("bounds or refinements is required")
-            if level_blocks is not None or level_objects is not None or level_jets is not None:
-                raise ValueError("level_blocks/level_objects/level_jets require refinements")
-            refinements, level_blocks, level_objects, level_jets = _legacy_levels(
-                bounds, fine_block=fine_block, base_block=base_block, child=child,
-                child_block=child_block, child_rectangles_in_parent=child_rectangles_in_parent,
-                fine_objects=fine_objects, jets=jets, child_objects=child_objects,
-                child_jets=child_jets)
-        else:
-            if (bounds is not None or child is not None or child_rectangles_in_parent is not None
-                    or fine_block is not None or base_block is not None or child_block is not None
-                    or tuple(fine_objects) or tuple(jets) or tuple(child_objects) or tuple(child_jets)):
-                raise ValueError("refinements and the legacy patch keywords are mutually exclusive")
-            depth = len(refinements) + 1
-            level_blocks = [None] * depth if level_blocks is None else list(level_blocks)
-            level_objects = [()] * depth if level_objects is None else list(level_objects)
-            level_jets = [()] * depth if level_jets is None else list(level_jets)
+        depth = len(refinements) + 1
+        level_blocks = [None] * depth if level_blocks is None else list(level_blocks)
+        level_objects = [()] * depth if level_objects is None else list(level_objects)
+        level_jets = [()] * depth if level_jets is None else list(level_jets)
        level_objects = [tuple(o) for o in level_objects]
        level_jets = [tuple(j) for j in level_jets]
        level_blocks = [None if b is None else tuple(b) for b in level_blocks]
        _check_levels(refinements, level_blocks, level_objects, level_jets)
        depth = len(refinements) + 1
+        if explosion not in ("constant", "projected_linear"):
+            raise ValueError("explosion must be constant or projected_linear")
+        if explosion == "projected_linear" and (
+                coarse_boundary != "periodic" or any(b is None for b in level_blocks)
+                or any(level_objects) or any(level_jets)
+                or cfg.collision != "SRT" or cfg.les_enabled):
+            raise ValueError("projected explosion requires periodic all-blocked SRT levels "
+                             "without bodies/Jets or LES")
+        self._explosion = explosion
        self._ddf_shifting = bool(cfg.ddf_shifting)
        if self._ddf_shifting and any(b is None for b in level_blocks):
            raise ValueError("shifted populations require all-blocked levels; dense/mixed is unsupported")
@@ -315,6 +263,13 @@ class FixedPatchStepper:
                                      for b, layout in zip(self._boundary_hosts, self._layouts)):
            raise ValueError("raw exchange currently requires blocked body levels")
        self._observe_raw_exchange = observe_raw_exchange
+        if not isinstance(observe_window_exchange, bool):
+            raise ValueError("observe_window_exchange must be bool")
+        if observe_window_exchange and not observe_raw_exchange:
+            raise ValueError("observe_window_exchange requires observe_raw_exchange")
+        self._observe_window = observe_window_exchange
+        self._window_valid = False
+        self._window_start = None
        self._exchange_valid = False
        self._exchange_spacing = tuple(spacings)
        self._exchange_centers = tuple(tuple(tuple(o.geometry.center) for o in objects)
@@ -365,6 +320,8 @@ class FixedPatchStepper:
                            count = len(b.tables["cell"])
                            b.last_raw = self._allocate(count * 4 * 4)
                            b.interval_integral = self._allocate(count * 4 * 8)
+                            if self._observe_window:
+                                b.window_integral = self._allocate(count * 4 * 8)
                            b.accumulate = level.module.get_function("BlockAccumulateExchange")
                        b.kernel = level.module.get_function("BlockCurvedBoundary")
                if self._level_boundaries[1] is not None:
@@ -405,7 +362,10 @@ class FixedPatchStepper:
            raise RuntimeError("level omega/tau mismatch")
        host = self._boundary_hosts[index]
        n_objects = len(host.objects) if name == "PatchFineStep" and host is not None else 0
-        build = compiler.generate_config(config, n_objects=n_objects)
+        block_root_bc = 0
+        if index == 0 and layout is not None:
+            block_root_bc = 2 if self._channel else 1 if self._wall_aware else 0
+        build = compiler.generate_config(config, n_objects=n_objects, block_root_bc=block_root_bc)
        try:
            ptx = compiler.compile_kernel(self.ctx.sm_arch, source=source, build_dir=build)
            module = compiler.load_module(ptx)
@@ -467,6 +427,11 @@ class FixedPatchStepper:
                       self._upload(children), len(ghosts), len(targets),
                       int(np.prod(pair.coarse_shape if parent.layout is None
                                   else parent.layout.local_shape)))
+        if self._explosion == "projected_linear":
+            neighbors, offsets = projected_explosion_tables(
+                pair, parent.layout, self.hierarchy.kinds[index])
+            result.explode = child.module.get_function("BlockExplodeProjected")
+            result.neighbors, result.offsets = self._upload(neighbors), self._upload(offsets)
        if child.layout is not None:
            child.kind = self._upload(blocked_kind(child.layout, self.hierarchy.kinds[index + 1]))
        if index == 0 and base is not None:
@@ -506,13 +471,13 @@ class FixedPatchStepper:
        if self._ddf_shifting and any(layout is None for layout in self._layouts):
            raise ValueError("shifted populations require all-blocked levels")

-    def initialize(self, *level_g, coarse_g=None, fine_g=None, child_g=None):
+    def initialize(self, *level_g):
        """Upload physical postcollision G, encoding before any FP32 rounding.

        Shifted input should be physical FP64 to retain small perturbations.
        Public initialization resets the step count; non-leaves are discarded.
        """
-        given = _initial_levels(level_g, coarse_g, fine_g, child_g)
+        given = tuple(level_g)
        with self._lock, self.ctx.activate():
            self._require("new", "ready")
            self._check_storage()
@@ -559,6 +524,7 @@ class FixedPatchStepper:
                    cuda.memset_d8(self._fine_curved.link_exchange_gpu, 0, self._fine_curved.count * 12)
                self._step_count = 0
                self._exchange_valid = False
+                self._window_valid = False
                self._status = "ready"
            except BaseException:
                self._status = "failed"
@@ -635,11 +601,11 @@ class FixedPatchStepper:
                old, new, source, base_count=count, level_steps=(count, 2*count, 4*count),
                phase="postcollision_g", **options)
            candidate = type(self)(
-                cfg, pairs[0].bounds, context=self.ctx, base_block=base_block,
-                fine_block=fine_block, child_block=child_block,
-                child_rectangles_in_parent=new.child.bounds,
-                child_objects=child_objects, child_jets=jets,
-                observe_raw_exchange=self._observe_raw_exchange)
+                cfg, context=self.ctx, refinements=[pairs[0].bounds, new.child.bounds],
+                level_blocks=[base_block, fine_block, child_block],
+                level_objects=[(), (), child_objects], level_jets=[(), (), jets],
+                observe_raw_exchange=self._observe_raw_exchange,
+                observe_window_exchange=self._observe_window, explosion=self._explosion)
            try:
                if self._ddf_shifting:
                    candidate._initialize_raw(_StoredPopulations(transferred.g, transferred.shifted))
@@ -732,6 +698,7 @@ class FixedPatchStepper:
        pair, level = self._pairs[index - 1], self._levels[index]
        pair.explode(parent_buffer, level.current, pair.ghosts, pair.donors, np.uint32(pair.n_ghosts),
                     np.uint64(pair.parent_cells),
+                     *((pair.neighbors, pair.offsets) if pair.neighbors is not None else ()),
                     grid=((pair.n_ghosts + self._block[0] - 1) // self._block[0], 1), **kw)
        self._hop(index, level.current, level.spare, **kw)
        self._hop(index, level.spare, level.current, **kw)
@@ -771,6 +738,10 @@ class FixedPatchStepper:
            b.accumulate(b.last_raw, b.interval_integral, np.uint32(count),
                         np.float64(h), np.float64(h),
                         grid=((count + self._block[0] - 1) // self._block[0], 1), **kw)
+            if self._window_valid and b.window_integral is not None:
+                b.accumulate(b.last_raw, b.window_integral, np.uint32(count),
+                             np.float64(h), np.float64(h),
+                             grid=((count + self._block[0] - 1) // self._block[0], 1), **kw)
        flags = np.uintp(0) if level.boundary is None else level.boundary.flags
        level.kernel(src, dst, np.uint32(level.layout.halo), flags, level.kind, grid=level.grid, **kw)

@@ -781,31 +752,93 @@ class FixedPatchStepper:
                            grid=((pairs + self._block[0] - 1) // self._block[0], 1), **kw)

    def step(self, n=1):
-        """Advance G→G by n base intervals: level l takes 2**l hops per interval."""
+        """Advance G→G by n base intervals: level l takes 2**l hops per interval.
+
+        All n intervals are enqueued in order on the one stream, and the host waits
+        once, before returning; step(0) launches and waits for nothing. On return
+        the device work is complete, step_count and an open window cover all n
+        intervals, and the raw-exchange ledger holds the final interval only.
+
+        Asynchronous device errors surface at that single wait, so they are not
+        attributed to the interval that caused them; call step(1) repeatedly to
+        localize one (same launches, same bits). On any failure the instance is
+        failed, the exchange ledger and window are invalid, and step_count keeps
+        its value from entry to the failing call.
+        """
        if isinstance(n, bool) or not isinstance(n, Integral) or n < 0:
            raise ValueError("n must be a nonnegative integer")
        with self._lock, self.ctx.activate():
            self._require("ready")
+            if n == 0:
+                return
            root = self._levels[0]
            kw = dict(block=self._block, stream=self._stream)
            try:
                self._status = "advancing"
+                self._exchange_valid = False
                for _ in range(n):
-                    if self._observe_raw_exchange:
-                        self._exchange_valid = False
+                    if self._observe_raw_exchange:  # stream-ordered: holds the last interval only
                        for b in self._level_boundaries:
                            if b is not None:
                                cuda.memset_d8_async(b.interval_integral, 0,
                                                     len(b.tables["cell"]) * 32, self._stream)
                    self._hop(0, root.current, root.spare, **kw)
-                    self._stream.synchronize()
-                    root.current, root.spare = root.spare, root.current
-                    self._step_count += 1
-                    self._exchange_valid = self._observe_raw_exchange
+                    root.current, root.spare = root.spare, root.current  # host handles only
+                self._stream.synchronize()
+                self._step_count += n
+                self._exchange_valid = self._observe_raw_exchange
                self._status = "ready"
+            except BaseException:
+                self._window_valid = False
+                self._status = "failed"
+                raise
+
+    def start_exchange_window(self):
+        """Zero the window ledgers and open a window at the current completed step count."""
+        with self._lock, self.ctx.activate():
+            self._require("ready")
+            if not self._observe_window:
+                raise RuntimeError("window exchange observation is disabled")
+            self._window_valid = False
+            try:
+                for b in self._level_boundaries:
+                    if b is not None and b.window_integral is not None:
+                        cuda.memset_d8(b.window_integral, 0, len(b.tables["cell"]) * 32)
            except BaseException:
                self._status = "failed"
                raise
+            self._window_start = self._step_count
+            self._window_valid = True
+
+    def read_exchange_window(self, body_id, *, level=1):
+        """Non-destructive read of [window start, current step count] in base-lattice units."""
+        with self._lock, self.ctx.activate():
+            self._require("ready")
+            if not self._observe_window:
+                raise RuntimeError("window exchange observation is disabled")
+            if not self._window_valid:
+                raise RuntimeError("no valid exchange window; call start_exchange_window()")
+            duration = self._step_count - self._window_start
+            if duration < 1:
+                raise RuntimeError("exchange window requires at least one completed base interval")
+            if (isinstance(level, bool) or not isinstance(level, Integral)
+                    or not 0 <= level < len(self._levels)):
+                raise ValueError("level must name an existing level")
+            b = self._level_boundaries[level]
+            if (b is None or isinstance(body_id, bool) or not isinstance(body_id, Integral)
+                    or not 0 <= body_id < len(b.host.objects)):
+                raise ValueError("body_id must name a body on this level")
+            rows = np.empty((len(b.tables["cell"]), 4), np.float64)
+            try:
+                cuda.memcpy_dtoh(rows, b.window_integral)
+            except BaseException:
+                self._status = "failed"
+                raise
+            return summarize_exchange(rows, b.tables["body_id"], b.tables["aperture"],
+                                      body_id=body_id, level=level, h=self._exchange_spacing[level],
+                                      time_end=self._step_count, window="window",
+                                      reference_center=self._exchange_centers[level][body_id],
+                                      duration=duration)

    def read_raw_exchange(self, body_id, *, level=1, window="last_base_step"):
        """Read raw boundary reaction about its geometric center in the root edge frame.
@@ -885,6 +918,7 @@ class FixedPatchStepper:
                    if b is not None:
                        b.flags = b.device = b.kernel = None
                        b.last_raw = b.interval_integral = b.accumulate = None
+                        b.window_integral = None
                self._levels.clear()
                self._pairs = []
                if getattr(self, "_fine_curved", None) is not None:
@@ -915,8 +949,8 @@ class FixedPatchStepper:
            if exc[0] is None:
                raise

-    # Read-only compatibility views over the level lists. Internal code must not use them;
-    # REMOVE AFTER the existing tests/docs migrate to hierarchy/_layouts/_level_* lists.
+    # Read-only compatibility views over the level lists, kept on purpose for the existing
+    # tests and docs. Internal code must not use them; it reads hierarchy/_layouts/_level_*.
    patch = property(lambda self: self.hierarchy.pairs[0])
    child_patch = property(lambda self: self.hierarchy.pairs[1] if self.hierarchy.depth > 2 else None)
    base_layout = property(lambda self: self._layouts[0])
@@ -8,7 +8,7 @@ from dataclasses import dataclass, replace
 import numpy as np

 from .blocks import blocked_link_tables
-from ..body.jets import jet_link_shapes, surface_link_velocity
+from ..body.jets import _surface_links
 from .descriptors import D2Q9_EX, D2Q9_EY
 from .refinement import ACTIVE, OUTER_GHOST

@@ -66,6 +66,50 @@ def blocked_base_tables(patch, layout, order, wall_aware=False, *, composed_kind
            blocked_kind(layout, dense_kind))


+def projected_explosion_tables(pair, parent_layout, composed_parent_kind):
+    """Experimental transverse linear explosion, in the pair's existing row order.
+
+    Schornbaum & Rüde (2016), arXiv:1508.07982, Algorithm 2, following
+    Chen et al., doi:10.1016/j.physa.2005.09.036. Independently implemented
+    from the mathematics: centered gradients, perpendicular projection and
+    child offsets +/-1/4. The kernel applies the projection per population.
+
+    Only original explosion donors that are owned, uncovered ACTIVE cells
+    may supply gradients. Both axis neighbors must be legal; otherwise repeat
+    the center twice for zero slope. Owner-core addresses avoid stale halos.
+    The same rule applies to scalar windows, unions and every adjacent pair;
+    nested layouts retain their own per-axis (usually nonperiodic) topology.
+    """
+    ny, nx = pair.coarse_shape
+    kind = np.asarray(composed_parent_kind)
+    if parent_layout.shape != pair.coarse_shape or kind.shape != pair.coarse_shape:
+        raise ValueError("projected explosion parent layout/kind has the wrong shape")
+    donor = pair.ghost_coarse.astype(np.intp)
+    legal = np.zeros(ny * nx, bool)
+    legal[donor] = True
+    legal &= (parent_layout.owned.ravel() & ~pair.covered.ravel()
+              & (kind.ravel() == ACTIVE))
+    if not legal[donor].all():
+        raise ValueError("projected explosion donors need owned uncovered parent ACTIVE cells")
+    y, x = np.divmod(donor, nx)
+    neighbors = np.repeat(donor[:, None], 4, axis=1)
+    for axis, (dx, dy) in enumerate(((1, 0), (0, 1))):
+        minus = ((y - dy) % ny) * nx + (x - dx) % nx
+        plus = ((y + dy) % ny) * nx + (x + dx) % nx
+        valid = legal[minus] & legal[plus]
+        if not parent_layout.periodic[axis]:
+            coordinate, extent = (x, nx) if axis == 0 else (y, ny)
+            valid &= (coordinate > 0) & (coordinate < extent - 1)
+        neighbors[valid, 2 * axis] = minus[valid]
+        neighbors[valid, 2 * axis + 1] = plus[valid]
+    fy, fx = np.divmod(pair.ghost_fine, pair.fine_shape[1])
+    ox, oy = pair.fine_origin
+    offsets = np.column_stack((ox + (fx + .5) / 2 - (x + .5),
+                               oy + (fy + .5) / 2 - (y + .5)))
+    return (np.ascontiguousarray(parent_layout.owner.ravel()[neighbors], dtype=np.uint64),
+            np.ascontiguousarray(offsets, dtype=np.float32))
+
+
 # Required device columns plus optional actuation; observation arms are uploaded
 # separately only when enabled. body_id/aperture remain host reduction metadata.
 BLOCKED_BOUNDARY_DEVICE_COLUMNS = ("block", "cell", "dir", "q", "fallback", "surface_velocity")
@@ -85,6 +129,7 @@ class _BlockedBoundary:
    last_raw: object = None
    interval_integral: object = None
    accumulate: object = None
+    window_integral: object = None  # optional observation-window FP64 ledger


 def _prepare_blocked_boundary(boundary, layout, cfg, jets, *, _shifted_blocked=False):
@@ -97,11 +142,13 @@ def _prepare_blocked_boundary(boundary, layout, cfg, jets, *, _shifted_blocked=F
    tables.update(body_id=np.asarray(body_id, np.int32), rx=np.asarray(rx, np.float32),
                  ry=np.asarray(ry, np.float32), aperture=np.zeros(len(dirs), bool))
    actuated = bool(jets) or any(o.surface_actuation is not None for o in boundary.objects)
+    jet_cache = None
    if actuated:
        cfg = replace(cfg)
        cfg.validate()
-        tables["surface_velocity"], tables["aperture"] = surface_link_velocity(
+        tables["surface_velocity"], tables["aperture"], shape, jet_id = _surface_links(
            boundary.objects, cfg, boundary.flags, fluid_idx, dirs, body_id, rx, ry,
            jets=jets, hits=boundary.curved_hits, _shifted_blocked=_shifted_blocked)
-    return _BlockedBoundary(boundary, tables, jets, actuated,
-                            jet_link_shapes(jets, boundary.curved_hits) if jets else None)
+        if jets:
+            jet_cache = (shape, jet_id)
+    return _BlockedBoundary(boundary, tables, jets, actuated, jet_cache)
@@ -336,13 +336,19 @@ class Simulation:
    def read_surface_exchange(self, id: int):
        """Latest step's wall/aperture (Fx,Fy,Tz) exchange, not total nozzle force.

+        Supports SurfaceActuation and Jet-driven bodies, including zero-amplitude
+        apertures. Passive bodies without an aperture are rejected.
        Unlike read_body this is not accumulated/time-averaged. It resets after
        geometry sync or checkpoint load; advance before interpreting it.
        """
-        if self.bodies.get(id).surface_actuation is None:
+        obj = self.bodies.get(id)
+        curved = self.field.curved
+        has_aperture = (curved.aperture is not None
+                        and np.any(curved.aperture & (curved.body_id == id)))
+        if obj.surface_actuation is None and not has_aperture:
            raise ValueError("Body has no surface actuation")
        self.stream.synchronize()
-        return self.field.curved.surface_exchange(id)
+        return curved.surface_exchange(id)

    @context_bound
    def read_body(self, id: int, *,
@@ -451,18 +457,21 @@ class Simulation:
    @context_bound
    def initialize(self):
        """Initialize flow field and sync objects to GPU."""
-        # Recompile if objects were added after construction.
        self._assert_allocation_contract()
+        # Validate the complete geometry before flags, populations or modules
+        # change. Compact-list construction publishes no outputs on failure.
+        next_flags = self.bodies.build_flags(self.field.build_channel_flags())
+        if self.bodies.jets and self.bodies.count == 0:
+            raise ValueError("Jets need bodies with cut links")
+        self.bodies.build_compact_lists_for(self.bodies.objects, next_flags)
+
+        # Recompile if objects were added after construction.
        if self._read_generated_n_objects() != self.bodies.count:
            self.recompile()

-        self.field.flag = self.field.build_channel_flags()
-        if self.bodies.count > 0:
-            self.field.flag = self.bodies.build_flags(self.field.flag)
+        self.field.flag = next_flags
        self.field.upload_flags()

-        if self.bodies.jets and self.bodies.count == 0:
-            raise ValueError("Jets need bodies with cut links")
        self.stepper.initialize()
        if self.bodies.count > 0:
            self.bodies.sync_to_gpu(self.field, rebuild_flags=False)
@@ -0,0 +1,66 @@
+"""Checkpoint save -> load round trip for a scene with passive bodies. Requires GPU.
+
+A fresh Simulation with the same scene, restored from the checkpoint must hold the same populations,
+flags, body count and step count, and must stay bitwise identical to the original
+after both continue for the same number of steps. Checkpoints with Jets are
+refused (documented limitation) and are not covered here.
+"""
+
+import os
+import tempfile
+import unittest
+
+import numpy as np
+
+from ._cases import make_sim
+
+# Three separated cylinders (pinball-like); cut-link receivers stay in bulk fluid.
+CIRCLES = (((40, 32), 6), ((56, 22), 6), ((56, 42), 6))
+
+
+def scene():
+    sim = make_sim()
+    sim.initialize()
+    for center, radius in CIRCLES:
+        sim.add_body("circle", center=center, radius=radius)
+    sim.sync_bodies()
+    return sim
+
+
+class CheckpointBodiesGPU(unittest.TestCase):
+    def test_round_trip_is_bitwise_and_continues_identically(self):
+        sim = scene()
+        sim.run(60)
+        with tempfile.NamedTemporaryFile(suffix=".h5", delete=False) as f:
+            path = f.name
+        restored = None
+        try:
+            saved = sim.save_checkpoint(path)
+            # The loader requires the same body count and geometry: rebuild the scene.
+            restored = scene()
+            restored.load_checkpoint(saved)
+
+            self.assertEqual(restored.bodies.count, len(CIRCLES))
+            self.assertEqual(restored.stepper.step_count, sim.stepper.step_count)
+            np.testing.assert_array_equal(restored.get_flags(), sim.get_flags())
+            a, b = sim.get_ddf(), restored.get_ddf()
+            self.assertEqual(a.dtype, b.dtype)
+            self.assertEqual(a.tobytes(), b.tobytes())
+
+            sim.run(40)
+            restored.run(40)
+            self.assertEqual(restored.stepper.step_count, sim.stepper.step_count)
+            a, b = sim.get_ddf(), restored.get_ddf()
+            self.assertTrue(np.isfinite(a).all())
+            self.assertEqual(a.tobytes(), b.tobytes())
+            for i in range(len(CIRCLES)):
+                self.assertTrue(np.all(np.isfinite(restored.read_force(i))))
+        finally:
+            if restored is not None:
+                restored.close()
+            os.unlink(path)
+            sim.close()
+
+
+if __name__ == "__main__":
+    unittest.main()
@@ -65,9 +65,14 @@ def test_shifted_topology_add_remove_preserves_cache_and_finite_flow(streaming,p
        assert np.max(macro['rho'][fluid]) < 1.5


-@pytest.mark.parametrize('streaming',['double_buffer','esopull'])
-def test_checkpoint_exact_continuation_and_controls(streaming,tmp_path):
-    with make_sim(nx=48,ny=24,streaming=streaming,shifted=True) as sim:
+@pytest.mark.parametrize('collision,streaming', [
+    pytest.param('SRT', 'double_buffer', id='double_buffer'),
+    pytest.param('SRT', 'esopull', id='esopull'),
+    pytest.param('TRT', 'double_buffer', id='trt-double_buffer'),
+])
+def test_checkpoint_exact_continuation_and_controls(collision,streaming,tmp_path):
+    # Same collision throughout save/load/continue; this is not a method-switch restart.
+    with make_sim(nx=48,ny=24,streaming=streaming,shifted=True,collision=collision) as sim:
        sim.add_body('circle',center=(14,12),radius=3)
        sim.add_body('force_region',center=(30,12),radius=2)
        sim.initialize()
@@ -16,6 +16,7 @@
 #define NZ 1
 #define NT 1
 #define COLLISION_MODEL 0
+#define BLOCK_ROOT_BC 2
 #define USE_LES 0
 #define RHO 1.f
 #define U0 .025f
@@ -40,7 +41,7 @@ inline float __fdiv_rn(float a,float b){return a/b;}
 #include "boundary/inlet_outlet.cuh"
 #include "step/one_step_double.cu"
 #else
-constexpr unsigned char KIND_OUTER=2;
+#include "core/cell_kind.cuh"
 #include "step/block_channel.cu"
 #endif
 int main(){
@@ -0,0 +1,46 @@
+"""Check historical source manifests against their own recorded commit, not today's checkout."""
+
+import io
+from pathlib import Path
+import subprocess
+import tarfile
+
+ROOT = Path(__file__).resolve().parents[2]
+
+
+def _require(commit):
+    """Missing recorded history is an explicit failure, never a skip or a repin."""
+    found = subprocess.run(
+        ["git", "-C", str(ROOT), "cat-file", "-e", commit + "^{commit}"],
+        capture_output=True,
+    )
+    if found.returncode:
+        raise AssertionError(
+            f"Required history missing: commit {commit} is not in this clone; "
+            "fetch it instead of repinning or substituting"
+        )
+
+
+def tracked(commit, prefix="src"):
+    """Tracked paths under prefix at the recorded commit."""
+    _require(commit)
+    return set(
+        subprocess.check_output(
+            ["git", "-C", str(ROOT), "ls-tree", "-r", "--name-only", commit, prefix],
+            text=True,
+        ).splitlines()
+    )
+
+
+def historical_tree(commit, dest):
+    """Extract the tracked tree of the recorded commit into dest."""
+    _require(commit)
+    archive = subprocess.check_output(
+        ["git", "-C", str(ROOT), "archive", "--format=tar", commit]
+    )
+    dest = Path(dest)
+    dest.mkdir(parents=True, exist_ok=True)
+    extra = {"filter": "data"} if hasattr(tarfile, "data_filter") else {}
+    with tarfile.open(fileobj=io.BytesIO(archive)) as tar:
+        tar.extractall(dest, **extra)
+    return dest
@@ -0,0 +1,104 @@
+"""Host contract of PeriodicBlockStepper.step(n): one stream wait per call (mocked driver)."""
+import ast
+from contextlib import nullcontext
+import importlib.util
+from pathlib import Path
+import types
+from unittest.mock import Mock
+import unittest
+
+import numpy as np
+
+from CelerisLab.config import LBMConfig
+from CelerisLab.lbm.blocks import BlockLayout2D
+
+
+def host_module():
+    """block_stepper with pycuda/compiler replaced by mocks; no GPU context."""
+    # Locate the source without importing it: importing block_stepper loads pycuda.driver,
+    # which CPU-only import-boundary tests (test_build_contracts) must never see.
+    path = Path(importlib.util.find_spec("CelerisLab.lbm.block_stepper").origin)
+    tree = ast.parse(path.read_text())
+    tree.body = [node for node in tree.body if not (
+        isinstance(node, ast.Import) and any(a.name == "pycuda.driver" for a in node.names)
+        or isinstance(node, ast.ImportFrom) and node.module == "cuda")]
+    module = types.ModuleType("CelerisLab.lbm._test_host_block_stepper")
+    module.__package__ = "CelerisLab.lbm"
+    module.__dict__.update(cuda=Mock(), compiler=Mock())
+    exec(compile(tree, str(path), "exec"), module.__dict__)
+    return module
+
+
+def backend():
+    host, log = host_module(), []
+    host.cuda.mem_get_info.return_value = (1 << 40, 1 << 40)
+    host.cuda.mem_alloc.side_effect = lambda size: Mock(size=size)  # distinct buffers
+    module = Mock()
+    module.get_global.return_value = (Mock(), 20)
+    module.get_function.side_effect = lambda name: Mock(
+        side_effect=lambda *a, **k: log.append((name, a[:2])))
+    host.compiler.load_module.return_value = module
+    cfg = LBMConfig(nx=16, ny=16, viscosity=.1)
+    run = host.PeriodicBlockStepper(cfg, BlockLayout2D.build(16, 16, 8, 8),
+                                    context=Mock(activate=nullcontext, sm_arch="sm_70"))
+    run._stream.synchronize.side_effect = lambda: log.append(("sync", ()))
+    run.initialize(np.full((9, 16, 16), 1 / 9))
+    log.clear()
+    return run, log
+
+
+class BlockStepSync(unittest.TestCase):
+    def test_step_n_waits_once_and_matches_n_single_steps(self):
+        many, log_many = backend()
+        many.step(3)
+        single, log_single = backend()
+        for _ in range(3):
+            single.step(1)
+        names = [name for name, _ in log_many]
+        self.assertEqual(names.count("sync"), 1)
+        self.assertEqual(names[-1], "sync")
+        self.assertEqual(names.count("BlockStep"), 3)
+        # Same launch order and buffer roles as three step(1) calls.
+        strip = lambda log: [(n, tuple(id(x) for x in a)) for n, a in log if n != "sync"]
+        roles = lambda run, log: [(n, tuple({id(run._current): "c", id(run._spare): "s"}.get(x, "-")
+                                            for x in ids)) for n, ids in strip(log)]
+        self.assertEqual([n for n, _ in strip(log_many)], [n for n, _ in strip(log_single)])
+        self.assertEqual(roles(many, log_many), roles(single, log_single))
+        self.assertIsNot(many._current, many._spare)
+        self.assertEqual((many.step_count, single.step_count), (3, 3))
+
+    def test_step_zero_launches_and_waits_for_nothing(self):
+        run, log = backend()
+        run.step(0)
+        self.assertEqual((log, run.step_count), ([], 0))
+
+    def test_failure_keeps_entry_step_count(self):
+        run, log = backend()
+        run.step(1)
+        run._stream.synchronize.side_effect = RuntimeError("device fault")
+        with self.assertRaises(RuntimeError):
+            run.step(2)
+        self.assertEqual((run.step_count, run._status), (1, "failed"))
+
+    def test_launch_failure_mid_batch_fails_closed_without_waiting(self):
+        run, log = backend()
+        calls = []
+        step = run._step
+
+        def failing(*args, **kwargs):
+            calls.append(1)
+            if len(calls) == 2:
+                raise RuntimeError("launch failure")
+            return step(*args, **kwargs)
+
+        run._step = failing
+        with self.assertRaises(RuntimeError):
+            run.step(3)
+        self.assertNotIn("sync", [name for name, _ in log])
+        self.assertEqual((run.step_count, run._status), (0, "failed"))
+        with self.assertRaises(RuntimeError):
+            run.download()
+
+
+if __name__ == "__main__":
+    unittest.main()
@@ -83,6 +83,32 @@ assert abs(sum(compute_feq_d2q9(1.,0.,0.)) - 1.) < 1e-6


 class BuildContracts(unittest.TestCase):
+    def test_block_root_modes_are_rendered_and_recorded(self):
+        with tempfile.TemporaryDirectory() as root:
+            for mode in (0, 1, 2):
+                with self.subTest(mode=mode):
+                    build = compiler.generate_config(LBMConfig(), build_root=root, block_root_bc=mode)
+                    try:
+                        method = Path(build, "config/config_method.h").read_text()
+                        self.assertIn(f"#define BLOCK_ROOT_BC {mode}\n", method)
+                        metadata = json.loads(Path(build, ".celeris-build").read_text())
+                        self.assertEqual(metadata["block_root_bc"], mode)
+                        self.assertNotIn("block_root_bc", metadata["config"])
+                    finally:
+                        compiler.cleanup_build_dir(build)
+            build = compiler.generate_config(LBMConfig(), build_root=root)
+            try:
+                self.assertEqual(json.loads(Path(build, ".celeris-build").read_text())["block_root_bc"], 0)
+            finally:
+                compiler.cleanup_build_dir(build)
+
+    def test_invalid_block_root_mode_fails_before_snapshot(self):
+        for mode in (-1, 3, True, False, 1.0, "1", None):
+            with self.subTest(mode=mode), patch.object(compiler.tempfile, "mkdtemp") as allocate:
+                with self.assertRaisesRegex(ValueError, "block_root_bc"):
+                    compiler.generate_config(LBMConfig(), block_root_bc=mode)
+                allocate.assert_not_called()
+
    @staticmethod
    def fake_compile(command, check):
        source = Path(command[-3])
@@ -50,7 +50,7 @@ def test_masks_and_minimal_footprint():
 def test_actual_closure_read_conflicts():
    pair, layout, targets = transfer((6, 6, 18, 14))
    validate_channel_transfers(pair, layout, targets)
-    for target in (layout.slot(layout.owner[5, -1]-1, 2),
+    for target in (layout.slot(int(layout.owner[5, -1]) - 1, 2),  # integer under NumPy 1 and 2
                   layout.slot(layout.owner[1, 4], 4),
                   layout.slot(layout.owner[-2, 4], 3)):
        with pytest.raises(ValueError, match="immutable"):
@@ -80,8 +80,8 @@ def test_evolved_ghost_snapshot_and_physical_download():
    host.cuda.memcpy_dtoh.side_effect = lambda a, ptr: np.copyto(a, storage[id(ptr)])
    context = Mock(activate=nullcontext, sm_arch="sm_70")
    cfg = LBMConfig(nx=24, ny=20, viscosity=.1, velocity=.025)
-    backend = host.FixedPatchStepper(cfg, (6, 6, 18, 14), context=context,
-                                    coarse_boundary="channel", base_block=(4, 6), fine_block=(4, 4))
+    backend = host.FixedPatchStepper(cfg, context=context, coarse_boundary="channel",
+                                    refinements=[(6, 6, 18, 14)], level_blocks=[(4, 6), (4, 4)])
    try:
        weights = np.array([4/9]+[1/9]*4+[1/36]*4)[:, None, None]
        arrays = [np.broadcast_to(weights, level.shape).copy() for level in backend._levels]
@@ -97,5 +97,6 @@ def test_evolved_ghost_snapshot_and_physical_download():
        with pytest.raises(ValueError, match="finite"):
            backend.initialize(*arrays)
        assert backend._levels[0].kernel == host.compiler.load_module.return_value.get_function("BlockChannelStep")
+        assert [call.kwargs["block_root_bc"] for call in host.compiler.generate_config.call_args_list] == [2, 0]
    finally:
        backend.close()
@@ -0,0 +1,79 @@
+"""CPU-only contract tests for run_dfg_re20. Not CUDA or DFG acceptance evidence."""
+
+import sys
+from pathlib import Path
+import unittest
+
+sys.path.insert(0, str(Path(__file__).resolve().parents[1] / "validation"))
+import run_dfg_re20 as v  # noqa: E402
+import run_refined_dfg as rr  # noqa: E402
+
+h, _ = rr.helpers(rr.DEFAULT_SOURCE)
+
+
+def rows(values, tstar_end=v.TSTAR_MAX):
+    n = int(round(tstar_end / v.SAMPLE_TSTAR))
+    return [dict(tstar=(i + 1) * v.SAMPLE_TSTAR, **values(i)) for i in range(n)]
+
+
+class Re20Contract(unittest.TestCase):
+    def test_lattice_parameters_and_bounds(self):
+        root, uniform = v.lattice_parameters(40), v.lattice_parameters(80)
+        self.assertAlmostEqual(root["tau"], 0.56, places=12)
+        self.assertAlmostEqual(uniform["tau"], 0.62, places=12)
+        self.assertEqual((root["steps"], root["interval"]), (240000, 2000))
+        self.assertEqual((uniform["steps"], uniform["interval"]), (480000, 4000))
+        self.assertAlmostEqual(v.plan()["refined_fine_tau"], 0.62, places=12)
+
+    def test_config_only_changes_viscosity(self):
+        base = v._re100_config(h, 40, "SRT", "none")
+        cfg, body, p = v.config(h, 40, "SRT")
+        self.assertAlmostEqual(cfg["physics"]["viscosity"], 0.01 * 40 / 20, places=15)
+        self.assertEqual((p["re"], p["viscosity"]), (20.0, cfg["physics"]["viscosity"]))
+        base[0]["physics"]["viscosity"] = cfg["physics"]["viscosity"]
+        self.assertEqual(base[0], cfg)
+        self.assertEqual(base[1], body)
+        with self.assertRaisesRegex(ValueError, "no Jets"):
+            v.config(h, 40, "MRT", "zero")
+
+    def test_units(self):
+        s = v.sample([2.0, -0.5], 4, 40, 3.0)
+        den = rr.SPEED**2 * 40 / 2
+        self.assertAlmostEqual(s["cd"], 2.0 / 4 / den)
+        self.assertAlmostEqual(s["cl"], -0.5 / 4 / den)
+        self.assertAlmostEqual(s["p_diff"], 3.0 * 0.04)
+        self.assertEqual(s["dp_scaled"], 3.0)
+
+    def test_steady_and_verdict(self):
+        inside = dict(cd=5.58, cl=0.0106, p_diff=0.1174)
+        out = v.summarize(rows(lambda i: inside))
+        self.assertEqual((out["status"], out["steady"], out["window_samples"]),
+                         ("WITHIN_INTERVALS", True, 21))
+        self.assertTrue(out["cd_positive"])
+        self.assertAlmostEqual(out["edge_distance"]["cl"], 0.0002)
+        self.assertTrue(all(out["verdict"].values()))
+        low = v.summarize(rows(lambda i: dict(inside, cl=0.0100)))
+        self.assertEqual(low["status"], "OUTSIDE_INTERVALS")
+        self.assertFalse(low["verdict"]["cl"])
+
+    def test_slow_drift_gives_no_verdict(self):
+        # Range 2e-5 passes (limit 6e-5); slope * window 2e-5 exceeds 1.2e-5.
+        out = v.summarize(rows(lambda i: dict(cd=5.58, cl=0.0106 + 1e-6 * i, p_diff=0.1174)))
+        self.assertEqual((out["status"], out["verdict"]), ("NOT_STEADY", None))
+        self.assertLessEqual(out["ranges"]["cl"], out["range_limits"]["cl"])
+        self.assertGreater(out["drifts"]["cl"], out["slope_limits"]["cl"])
+
+    def test_noise_range(self):
+        quiet = v.summarize(rows(lambda i: dict(cd=5.58, cl=0.0106 + 2e-5 * (i % 2), p_diff=0.1174)))
+        self.assertTrue(quiet["steady"])  # within the range limit, no trend
+        noisy = v.summarize(rows(lambda i: dict(cd=5.58, cl=0.0106 + 1e-4 * (i % 2), p_diff=0.1174)))
+        self.assertEqual(noisy["status"], "NOT_STEADY")
+        self.assertGreater(noisy["ranges"]["cl"], noisy["range_limits"]["cl"])
+
+    def test_incomplete_run_gives_no_verdict(self):
+        out = v.summarize(rows(lambda i: dict(cd=5.58, cl=0.0106, p_diff=0.1174), tstar_end=30))
+        self.assertEqual((out["status"], out["verdict"]), ("INCOMPLETE", None))
+
+
+if __name__ == "__main__":
+    unittest.main()
@@ -8,6 +8,7 @@ import numpy as np
 ROOT = Path(__file__).resolve().parents[2]
 REPO = ROOT
 sys.path.insert(0, str(ROOT / "tests/validation"))
+sys.path.insert(0, str(ROOT / "tests/unit"))
 sys.path.insert(0, str(REPO / "src"))
 from run_jet_circle_cv import (
    CX,
@@ -16,8 +17,10 @@ from run_jet_circle_cv import (
    case,
    state,
    cv,
+    cv_from_macros,
    aperture_probe,
    measured_aperture_flux,
+    PIN,
    verify,
 )

@@ -28,40 +31,38 @@ def eq(rho, u, v):


 class Host(unittest.TestCase):
-    def test_shifted_storage_receipt_preserves_physical_case(self):
-        for scale in (1, 2):
-            base = case(scale)
-            shifted = case(scale, ddf_shifting=True)
-            self.assertFalse(base.pop("ddf_shifting"))
-            self.assertTrue(shifted.pop("ddf_shifting"))
-            self.assertEqual(base.pop("storage_variant")["name"], "unshifted_fp32")
-            self.assertEqual(shifted.pop("storage_variant")["name"], "shifted_fp32")
-            self.assertEqual(base, shifted)
+    def test_public_macros_pressure_advection_and_cropped_frames(self):
+        for h, origin, shape, rect in (
+            (.5, (0., 0.), (48, 64), (5., 4., 25., 20.)),
+            (.5, (.25, .5), (48, 64), (5.25, 4., 25.25, 20.)),
+            (.25, (.375, .75), (96, 128), (5.125, 4., 25.125, 20.)),
+        ):
+            y, x = np.indices(shape)
+            x = origin[0] + h * (x + .5)
+            k, u, v = 1e-5, .02, -.01
+            rho = 1 + 3 * k * x  # p=(rho-1)/3=k*x
+            ux, uy, fluid = np.full(shape, u), np.full(shape, v), np.ones(shape, bool)
+            result = cv_from_macros(rho, ux, uy, fluid, origin, rect, .004, h)
+            expected = 320 * np.array([3*k*u, k + 3*k*u*u, 3*k*u*v])
+            np.testing.assert_allclose(result[1], expected, rtol=1e-11, atol=1e-13)
+            np.testing.assert_allclose(result, cv(eq(rho, u, v), fluid, origin, rect, .004, h), atol=1e-12)
+            x0, y0, x1, y1 = np.rint((np.array(rect)-np.tile(origin, 2))/h).astype(int)
+            selection = np.s_[y0-2:y1+2, x0-2:x1+2]
+            cropped_origin = np.asarray(origin) + h*np.array([x0-2, y0-2])
+            cropped = cv_from_macros(rho[selection], ux[selection], uy[selection],
+                                    fluid[selection], cropped_origin, rect, .004, h)
+            np.testing.assert_array_equal(cropped, result)

-    def test_shifted_physical_download_roundtrip(self):
-        from CelerisLab.lbm.population_storage import _encode_physical, _decode_stored
-        from run_jet_circle_cv import moments
-        from jet_cv_measurements import primitives
-
-        for speed in (0.03, 0.015):
-            seed = state((9, 48, 64), speed)
-            self.assertEqual(seed.dtype, np.float32)
-            plain = _decode_stored(_encode_physical(seed, False), False)
-            decoded = _decode_stored(_encode_physical(seed, True), True)
-            self.assertEqual(decoded.dtype, np.float64)
-            np.testing.assert_array_equal(plain, seed)
-            # Same FP32 physical seed; only encoding quantization may differ.
-            np.testing.assert_allclose(decoded, seed, rtol=0, atol=3e-10)
-            rho, momentum, velocity = moments(decoded)
-            rho2, velocity2 = primitives(decoded, CX, CY)
-            np.testing.assert_array_equal(rho, rho2)
-            np.testing.assert_array_equal(velocity, velocity2)
-            np.testing.assert_allclose(momentum, rho * velocity, atol=1e-17)
-            fluid = np.ones(seed.shape[1:], bool)
-            inv, flux = cv(decoded, fluid, (0, 0), (5, 4, 25, 20), 0.0072)
-            expected, _ = cv(seed, fluid, (0, 0), (5, 4, 25, 20), 0.0072)
-            np.testing.assert_allclose(inv, expected, rtol=0, atol=1e-6)
-            np.testing.assert_allclose(flux, 0, atol=1e-14)
+    def test_public_macros_full_normal_viscous_stress(self):
+        y, x = np.indices((48, 64))
+        x = (x + .5) * .5
+        rho, ux, uy, fluid = np.ones_like(x), 1e-4*x*x, np.zeros_like(x), np.ones(x.shape, bool)
+        args = (rho, ux, uy, fluid, (0., 0.), (5., 4., 25., 20.))
+        _, viscous = cv_from_macros(*args, .004)
+        _, inviscid = cv_from_macros(*args, 0.)
+        np.testing.assert_allclose(viscous-inviscid, [0, -4*.004*1e-4*320, 0], atol=1e-13)
+        with self.assertRaisesRegex(ValueError, "matching 2D"):
+            cv_from_macros(rho, ux, uy[:-1], fluid, (0, 0), (5, 4, 25, 20), .004)

    def test_descriptor_and_uniform_closed_flux(self):
        from CelerisLab.lbm.descriptors import D2Q9_EX, D2Q9_EY
@@ -167,7 +168,13 @@ class Host(unittest.TestCase):
        self.assertEqual(a["steps"] * 4, b["steps"])

    def test_source_pin(self):
-        verify(REPO)
+        from tempfile import TemporaryDirectory
+        from historical_tree import historical_tree
+
+        with self.assertRaisesRegex(RuntimeError, "Source hash mismatch"):
+            verify(REPO)
+        with TemporaryDirectory() as directory:
+            verify(historical_tree(PIN, directory))


 if __name__ == "__main__":
@@ -31,111 +31,6 @@ from analyze_jet_cv_continuation import integrate, analyze


 class Measurements(unittest.TestCase):
-    def test_budget_failure_preserves_verified_pair(self):
-        from jet_cv_measurements import install_evidence
-
-        with tempfile.TemporaryDirectory() as tmp:
-            path = Path(tmp)
-            data = path / "samples.npz"
-            meta = path / "samples.json"
-            data.write_bytes(b"old-data")
-            meta.write_text("old-meta")
-            staged = path / ".samples.pending.npz"
-            staged_meta = path / ".meta.pending"
-            staged.write_bytes(b"x" * 100)
-            staged_meta.write_text("new-meta")
-            with self.assertRaisesRegex(RuntimeError, "last verified files preserved"):
-                install_evidence({data: staged, meta: staged_meta}, limit=20)
-            self.assertEqual(data.read_bytes(), b"old-data")
-            self.assertEqual(meta.read_text(), "old-meta")
-            self.assertEqual(
-                sorted(p.name for p in path.iterdir()), ["samples.json", "samples.npz"]
-            )
-
-    def test_dense_root_and_exact_old_cadence(self):
-        from jet_cv_measurements import old_sample_steps
-
-        for scale, count in ((1, 801), (2, 3201)):
-            c = case(scale, steps=800)
-            c["dense_root"] = True
-            dense = sample_steps(c)
-            old = old_sample_steps(c)
-            self.assertEqual(len(dense), count)
-            self.assertEqual(len(old), 276)
-            np.testing.assert_array_equal(dense, np.arange(800 * scale**2 + 1))
-            self.assertTrue(np.isin(old, dense).all())
-            np.testing.assert_array_equal(old[:101] / scale**2, np.arange(101))
-            np.testing.assert_array_equal(old[101:] / scale**2, np.arange(104, 801, 4))
-
-    def test_root_interval_absolute_net_mass_reversals(self):
-        from jet_cv_measurements import absolute_aperture_interval_mass
-
-        masks = (np.array([True, False]), np.array([False, True]))
-        rows = np.zeros((2, 4))
-        rows[0, 3] = 1
-        first = absolute_aperture_interval_mass(rows, *masks)
-        rows[0, 3] = -1
-        self.assertEqual(first + absolute_aperture_interval_mass(rows, *masks), 2)
-        self.assertEqual(abs(1 - 1), 0)
-
-    def test_dense_offline_oscillation_preserves_ledger(self):
-        import json
-        from jet_cv_measurements import old_sample_steps
-
-        for s in (1, 2):
-            c = case(s, steps=800)
-            c["dense_root"] = True
-            steps = sample_steps(c)
-            t = steps / s**2
-            n = len(t)
-            ridx = old_sample_steps(c)
-            # Nonzero steady reference fluxes cancel exact stock changes.
-            inv = np.zeros((n, 2, 2, 3))
-            inv[..., 0] = (100 - 0.001 * t[:, None, None]) * s**2
-            inv[..., 1] = -t[:, None, None] * 0.002 * s
-            flux = np.zeros_like(inv)
-            flux[..., 0] = 0.001 + 1e-4 * np.cos(np.pi / 2 * t[:, None, None])
-            flux[..., 1] = 0.002 / s
-            raw = np.zeros((n, 2, 5, 4))
-            with tempfile.TemporaryDirectory() as tmp:
-                path = Path(tmp)
-                (path / f"samples_s{s}.json").write_text(
-                    json.dumps(dict(case=c, sample_file="samples.npz"))
-                )
-                np.savez(
-                    path / "samples.npz",
-                    t_reference=t,
-                    cv_inventory=inv,
-                    cv_flux=flux,
-                    raw_cumulative=raw,
-                    ray_sample_indices=ridx,
-                    arc_estimates=np.zeros((len(ridx), 2, 2, 2, 2)),
-                    arc_absolute_estimates=np.zeros((len(ridx), 2, 2, 2, 2)),
-                    raw_absolute_aperture_mass_cumulative=np.broadcast_to(
-                        2 * t[:, None] * s**2, (n, 2)
-                    ),
-                    global_mass_reference=np.ones((n, 2)) * 100,
-                    level_stats=np.broadcast_to([1, 1, 0, 0.03, 100], (n, 3, 5)),
-                    velocity_error=np.zeros(n),
-                )
-                result = analyze(path)
-                w = result["windows"][1]
-                self.assertTrue(result["complete_schedule"])
-                np.testing.assert_allclose(
-                    np.array(w["normalized_cv_residual"])[0], 0, atol=1e-11
-                )
-                self.assertGreater(
-                    abs(np.array(w["old_cadence_change_from_dense"])[..., 0]).max(),
-                    0.005,
-                )
-                np.testing.assert_allclose(
-                    w["global_stock_raw_balance_sum_reference"], 0
-                )
-                np.testing.assert_allclose(
-                    w["raw_absolute_aperture_net_interval_mass_reference"], 200
-                )
-                np.testing.assert_allclose(w["raw_reaction_coefficient"], 0)
-
    def test_common_physical_schedule(self):
        a = sample_steps(case(1, steps=3200))
        b = sample_steps(case(2, steps=3200))
@@ -239,57 +134,6 @@ class Measurements(unittest.TestCase):
                snap["uniform_velocity_reference"][0][fluid], 0.01, rtol=1e-7
            )

-    def test_dense_recorder_retains_sparse_rays(self):
-        h = 0.5
-        y, x = np.mgrid[:64, :64]
-        x = (x + 0.5) * h
-        y = (y + 0.5) * h
-        fluid = (x - 16) ** 2 + (y - 16) ** 2 > 25
-        fine_leaf = fluid.copy()
-        fine_leaf[:, :4] = False
-        root_leaf = np.zeros((32, 32), bool)
-        root_leaf[:, :2] = True
-
-        def eq(ny, nx):
-            cu = CX[:, None, None] * 0.01
-            return np.broadcast_to(
-                W[:, None, None] * (1 + 3 * cu + 4.5 * cu * cu - 1.5 * 0.01**2),
-                (9, ny, nx),
-            ).copy()
-
-        ug = eq(64, 64)
-        levels = [eq(32, 32), ug.copy()]
-        c = dict(
-            scale=1,
-            dense_root=True,
-            steps=800,
-            center=[16, 16],
-            diameter=10,
-            u=0.01,
-            nu=0.0072,
-            contours=[[9, 9, 23, 23], [7, 7, 25, 25]],
-        )
-        data = {
-            name: [cv(ug, mask, (0, 0), r, c["nu"]) for r in c["contours"]]
-            for name, mask in [("uniform_adapter", fluid), ("amr_api", fine_leaf)]
-        }
-        with tempfile.TemporaryDirectory() as tmp:
-            rec = MeasurementRecorder(
-                c, tmp, fluid, [root_leaf, fine_leaf], (0, 0), CX, CY
-            )
-            for step in (0, 101):
-                rec.capture(step, ug, levels, data, {k: np.zeros(2) for k in data}, 0.0)
-                rec.records[-1]["raw_cumulative"] = np.zeros((2, 5, 4))
-                rec.records[-1]["raw_absolute_aperture_mass_cumulative"] = np.zeros(2)
-            rec.flush()
-            a = np.load(Path(tmp) / "samples_s1.npz")
-            np.testing.assert_array_equal(a["step"], [0, 101])
-            np.testing.assert_array_equal(a["ray_sample_indices"], [0])
-            self.assertEqual(a["arc_estimates"].shape, (1, 2, 2, 2, 2))
-            self.assertTrue(
-                np.all(a["arc_absolute_estimates"] >= abs(a["arc_estimates"]) - 1e-14)
-            )
-
    def test_offline_mass_force_normalization(self):
        import json

@@ -188,6 +188,55 @@ def jet_case(device, jets):
    return field, bodies


+def test_public_surface_exchange_for_jet_preserves_aperture_at_zero_and_reverse(device):
+    from CelerisLab.simulation import Simulation
+    jet = Jet(Sector(CENTER, 0., .6, 3.), Radial(CENTER, inward=False), "quartic", 2e-3)
+    field, bodies = jet_case(device, [jet])
+    sim = SimpleNamespace(bodies=bodies, field=field, _initialized=True,
+                          stream=SimpleNamespace(synchronize=device.synchronize))
+    cl = field.curved
+    assert bodies.get(0).surface_actuation is None
+    aperture, velocity = cl.aperture, cl.surface_velocity.copy()
+    assert aperture.any() and (~aperture).any()
+    # Synthetic per-link exchanges test readback/splitting, not kernel physics.
+    values = np.arange(cl.count * 3, dtype=np.float32).reshape(-1, 3)
+    device.htod(cl.link_exchange_gpu, values)
+    for amplitude in (2e-3, 0., -1e-3):
+        Simulation.set_jet_amplitude(sim, 0, amplitude)
+        result = Simulation.read_surface_exchange(sim, 0)
+        assert cl.aperture is aperture
+        np.testing.assert_array_equal(aperture, cl.jet_id >= 0)
+        np.testing.assert_allclose(cl.surface_velocity, velocity * (amplitude / 2e-3))
+        for name, mask in (("wall", ~aperture), ("aperture", aperture)):
+            np.testing.assert_array_equal(result[name], values[mask].sum(axis=0, dtype=np.float64))
+
+
+def test_public_surface_exchange_keeps_legacy_and_passive_guards(device):
+    from CelerisLab.simulation import Simulation
+    field = make_field(device)
+    bodies = manager(field, [circle(SurfaceActuation(0., .6, .002), radius=2.)])
+    bodies.sync_to_gpu(field)
+    sim = SimpleNamespace(bodies=bodies, field=field,
+                          stream=SimpleNamespace(synchronize=device.synchronize))
+    for value in Simulation.read_surface_exchange(sim, 0).values():
+        np.testing.assert_array_equal(value, 0.)
+    field.curved.free_gpu_columns()
+    with pytest.raises(RuntimeError, match="diagnostic is allocated"):
+        Simulation.read_surface_exchange(sim, 0)
+
+    # An exchange buffer elsewhere in the scene must not admit a passive body.
+    for jets in ([], [Jet(Sector(CENTER, 0., .6, 3.), Radial(CENTER))]):
+        field, bodies = jet_case(device, jets)
+        passive = bodies.add(circle(center=(2., 3.), radius=.6))
+        bodies.sync_to_gpu(field)
+        sim.bodies, sim.field = bodies, field
+        with pytest.raises(ValueError, match="Body has no surface actuation"):
+            Simulation.read_surface_exchange(sim, passive)
+        if not jets:
+            with pytest.raises(ValueError, match="Body has no surface actuation"):
+                Simulation.read_surface_exchange(sim, 0)
+
+
 def test_manager_passes_true_hits_and_reuploads_only_velocity(device):
    # CPU memory double only: checks host/device bookkeeping, not GPU numerics.
    jet = Jet(Sector(CENTER, 0., .6, 3.), Radial(CENTER, inward=False), "quartic", 2e-3)
@@ -15,6 +15,10 @@ sys.path.insert(0, str(Path(__file__).resolve().parents[1] / "validation"))
 from run_uniform_les_flow import source_guard, decode_macros, HERE, HEADER

 ROOT = HERE.parents[1]
+sys.path.insert(0, str(ROOT / "tests/unit"))
+from historical_tree import historical_tree, tracked
+
+A135 = "a135252ae78b47b57d7e77d19001700b3bedac8b"


 class GuardTests(unittest.TestCase):
@@ -41,45 +45,81 @@ class GuardTests(unittest.TestCase):
        with self.assertRaisesRegex(RuntimeError, "velocity/profile"):
            decode_macros(invalid, w, cx, cy)

-    def test_baseline_pins(self):
-        self.assertEqual(
-            source_guard(ROOT, "baseline")["base_commit"],
-            "cd3a657f9d3833e812c3cca173525f165b48710a",
-        )
+    def test_current_corrected_pins(self):
+        with TemporaryDirectory() as directory:
+            root = historical_tree(A135, directory)
+            with patch("run_uniform_les_flow.subprocess.check_output", return_value="historical-tree\n"):
+                identity = source_guard(root, "corrected", "a135252")
+            # base_commit comes from the pins file; the mock only feeds checkout_commit.
+            self.assertEqual(identity["base_commit"], A135)
+            self.assertEqual(identity["checkout_commit"], "historical-tree")

    def test_corrected_and_tamper_guard(self):
-        pins = json.loads((HERE / "data/les_flow/source_pins.json").read_text())
+        pins = json.loads((HERE / "data/les_flow/source_pins_a135252.json").read_text())
        with TemporaryDirectory() as directory:
-            root = Path(directory)
+            origin = historical_tree(A135, Path(directory) / "origin")
+            root = Path(directory) / "fixture"
            for name in pins["sources"]:
                dest = root / name
                dest.parent.mkdir(parents=True, exist_ok=True)
-                shutil.copyfile(ROOT / name, dest)
-            # Rebuild the reviewed candidate from actual pinned headers, not fixtures.
-            candidate = root / "header_candidate"
-            subprocess.run(
-                [
-                    sys.executable,
-                    str(HERE / "les/prepare.py"),
-                    "--repo",
-                    str(ROOT),
-                    "--output-dir",
-                    str(candidate),
-                ],
-                check=True,
-            )
-            shutil.copyfile(candidate / "patched" / HEADER, root / HEADER)
+                shutil.copyfile(origin / name, dest)
            with patch(
                "run_uniform_les_flow.subprocess.check_output",
                return_value="isolated-fixture\n",
            ):
-                source_guard(root, "corrected")
+                source_guard(root, "corrected", "a135252")
                with self.assertRaisesRegex(RuntimeError, "Source pin mismatch"):
-                    source_guard(root, "baseline")
-                target = root / "src/CelerisLab/lbm/kernels/step/one_step_double.cu"
-                target.write_bytes(target.read_bytes() + b"\n// tamper\n")
+                    source_guard(root, "baseline", "a135252")
+                for name in ("kernels/step/one_step_double.cu", "kernels/blocks.cu",
+                             "refinement_stepper.py", "refinement_tables.py"):
+                    target = root / "src/CelerisLab/lbm" / name
+                    original = target.read_bytes()
+                    target.write_bytes(original + b"\n// tamper\n")
+                    with self.assertRaisesRegex(RuntimeError, "Source pin mismatch"):
+                        source_guard(root, "corrected", "a135252")
+                    target.write_bytes(original)
+
+    def test_historical_default_and_manifest_unchanged(self):
+        historical = {
+            "historical": ("source_pins.json", "87ca033619da1fc02bee822bfc5681b518a92a155c3c3d1dbbe5265c96066b39"),
+            "dev8403956": ("source_pins_dev8403956.json", "58187908485f2af7c78677d53de98015878372444265ce9e667683b8ef5d410f"),
+        }
+        for experiment, (name, expected) in historical.items():
+            manifest = HERE / "data/les_flow" / name
+            self.assertEqual(hashlib.sha256(manifest.read_bytes()).hexdigest(), expected)
+            for variant in ("baseline", "corrected"):
                with self.assertRaisesRegex(RuntimeError, "Source pin mismatch"):
-                    source_guard(root, "corrected")
+                    source_guard(ROOT, variant, experiment)
+        with self.assertRaisesRegex(RuntimeError, "Source pin mismatch"):
+            source_guard(ROOT, "corrected")  # Omission still uses the historical profile.
+
+    def test_current_manifest_pins_actual_corrected_tree(self):
+        pins = json.loads((HERE / "data/les_flow/source_pins_a135252.json").read_text())
+        self.assertEqual(pins["base_commit"], A135)
+        self.assertEqual(set(pins["sources"]), tracked(A135))
+        with TemporaryDirectory() as directory:
+            root = historical_tree(A135, directory)
+            for name, expected in pins["sources"].items():
+                self.assertEqual(hashlib.sha256((root / name).read_bytes()).hexdigest(), expected)
+            self.assertEqual(pins["sources"][HEADER], pins["candidate_header_sha256"])
+            self.assertNotEqual(pins["sources"][HEADER], pins["baseline_header_sha256"])
+            with self.assertRaisesRegex(RuntimeError, "Source pin mismatch"):
+                source_guard(root, "baseline", "a135252")
+
+    def test_named_baseline_accepts_only_reversed_header(self):
+        pins = json.loads((HERE / "data/les_flow/source_pins_a135252.json").read_text())
+        with TemporaryDirectory() as directory:
+            origin = historical_tree(A135, Path(directory) / "origin")
+            root = Path(directory) / "fixture"
+            for name in pins["sources"]:
+                dest = root / name
+                dest.parent.mkdir(parents=True, exist_ok=True)
+                shutil.copyfile(origin / name, dest)
+            subprocess.run(["git", "apply", "--reverse", str(HERE / "les/data/smagorinsky_normalization.patch")], cwd=root, check=True)
+            with patch("run_uniform_les_flow.subprocess.check_output", return_value="baseline-fixture\n"):
+                source_guard(root, "baseline", "a135252")
+                with self.assertRaisesRegex(RuntimeError, "Source pin mismatch"):
+                    source_guard(root, "corrected", "a135252")

    def test_gpu_requires_opt_in_before_import(self):
        with TemporaryDirectory() as directory:
@@ -0,0 +1,394 @@
+"""CPU stencil and actual closed-interface packet budgets; no CUDA claims."""
+import numpy as np
+import unittest
+from pathlib import Path
+from dataclasses import replace
+import shutil
+import subprocess
+import tempfile
+
+from CelerisLab.config import LBMConfig
+from CelerisLab.lbm.blocks import BlockLayout2D
+from CelerisLab.lbm.descriptors import D2Q9_EX, D2Q9_EY
+from CelerisLab.lbm.refinement import FixedPatch2D, FixedPatchSet2D, ACTIVE, OUTER_GHOST
+from CelerisLab.lbm.refinement_tables import projected_explosion_tables
+from CelerisLab.lbm.hierarchy import build_hierarchy
+from tests.unit.test_hierarchy import CFG, FOUR
+
+E = np.array([D2Q9_EX, D2Q9_EY]).T
+W = np.array([4/9] + [1/9]*4 + [1/36]*4)
+
+
+def setup(union=False, bounds=(4, 4, 12, 12)):
+    cfg = LBMConfig(nx=16, ny=16, viscosity=.1)
+    p = (FixedPatchSet2D.from_config(cfg, [bounds]) if union else
+         FixedPatch2D.from_config(cfg, bounds))
+    layout = BlockLayout2D.build(16, 16, 4, 4, periodic=(True, True))
+    neighbors, offsets = projected_explosion_tables(p, layout, np.where(p.covered, OUTER_GHOST, ACTIVE))
+    inverse = np.full(layout.nblocks * np.prod(layout.local_shape), -1, dtype=int)
+    inverse[layout.owner.ravel()] = np.arange(256)
+    return p, inverse[neighbors], offsets
+
+
+def reconstruct(c, p, neighbors, offsets, project=True):
+    # Independent NumPy evaluation of the documented stencil; neighbors have
+    # been decoded from actual blocked owner IDs, not recomputed geometry.
+    values = c.reshape(9, -1)[:, neighbors]
+    g = .5 * (values[:, :, 1::2] - values[:, :, ::2])
+    if project:
+        g[1:] -= (np.einsum('qra,qa->qr', g[1:], E[1:]) /
+                  np.sum(E[1:]**2, axis=1)[:, None])[:, :, None] * E[1:, None, :]
+    out = c.reshape(9, -1)[:, p.ghost_coarse] + np.einsum('qra,ra->qr', g, offsets)
+    return out, g
+
+
+def check_legal_footprint_mean_and_characteristic(union, bounds):
+    p, neighbors, offsets = setup(union, bounds)
+    assert set(neighbors.ravel()) <= set(p.ghost_coarse)
+    assert not p.covered.ravel()[neighbors].any()
+    assert (neighbors >= 0).all()
+    c = np.random.default_rng(72).normal(size=(9,16,16))
+    c[:, p.covered] = np.nan  # poison every forbidden donor
+    out, g = reconstruct(c, p, neighbors, offsets)
+    assert np.isfinite(out).all()
+    np.testing.assert_allclose(np.einsum('qra,qa->qr', g, E), 0, atol=5e-16)
+    for d in np.unique(p.ghost_coarse):
+        rows = p.ghost_coarse == d
+        assert rows.sum() == 4
+        np.testing.assert_allclose(out[:, rows].mean(axis=1), c.reshape(9,-1)[:,d], atol=5e-16)
+        for q in range(1,9):
+            delta = offsets[rows, None, :] - offsets[None, rows, :]
+            # Parallel displacements have zero 2D cross product.
+            parallel = np.isclose(delta[...,0]*E[q,1]-delta[...,1]*E[q,0], 0)
+            diff = out[q, rows][:,None]-out[q, rows][None,:]
+            np.testing.assert_allclose(diff[parallel], 0, atol=5e-16)
+    const = np.broadcast_to(W[:,None,None], (9,16,16)).copy()
+    constant, _ = reconstruct(const,p,neighbors,offsets)
+    np.testing.assert_array_equal(constant, np.broadcast_to(W[:,None], constant.shape))
+
+
+def collide(f, tau):
+    rho = f.sum(axis=0)
+    u = np.einsum('qa,q...->a...', E, f) / rho
+    cu = np.einsum('qa,a...->q...', E, u)
+    eq = W[:,None] * rho * (1 + 3*cu + 4.5*cu**2 - 1.5*np.sum(u*u,axis=0))
+    return f + (eq-f)/tau
+
+
+def totals(c, f, p):
+    q = c[:,~p.covered].sum(axis=1)+.25*f[:,p.fine_kind==ACTIVE].sum(axis=1)
+    return np.r_[q.sum(), E.T@q]
+
+
+def check_full_two_hop_closed_corner_budget(union, collision, bounds):
+    p, neighbors, offsets = setup(union,bounds)
+    rng=np.random.default_rng(17)
+    c=W[:,None,None]*(1+rng.normal(0,.002,(9,16,16)))
+    f=W[:,None,None]*(1+rng.normal(0,.002,(9,*p.fine_shape)))
+    start=totals(c,f,p)
+    # Count exactly the eight coarse diagonal links whose source is also
+    # uncovered, but whose midpoint lies on the closed rectangular interface.
+    q, k=np.divmod(p.coalesce_coarse.astype(np.int64),256)
+    y,x=np.divmod(k,16)
+    grazing=~p.covered[y-E[q,1],x-E[q,0]]
+    assert grazing.sum()==8
+    c[:,p.covered]=np.nan
+    for _ in range(8):
+        f.reshape(9,-1)[:,p.ghost_fine]=reconstruct(c,p,neighbors,offsets)[0]
+        for _ in range(2):
+            f=np.array([np.roll(f[q],(ey,ex),(0,1)) for q,(ex,ey) in enumerate(E)])
+            f[:,p.fine_kind==OUTER_GHOST]=np.nan
+            if collision:
+                f[:,p.fine_kind==ACTIVE]=collide(f[:,p.fine_kind==ACTIVE],p.tau_fine)
+        out=np.array([np.roll(c[q],(ey,ex),(0,1)) for q,(ex,ey) in enumerate(E)])
+        packets=f.reshape(-1)[p.coalesce_fine].mean(axis=1)
+        assert np.isfinite(packets[grazing]).all()
+        out.reshape(-1)[p.coalesce_coarse]=packets
+        if collision:out[:,~p.covered]=collide(out[:,~p.covered],p.tau_coarse)
+        out[:,p.covered]=np.nan
+        c=out
+        np.testing.assert_allclose(totals(c,f,p),start,rtol=0,atol=2e-12)
+
+
+def check_projection_is_distinguished_by_characteristic_not_global_mass():
+    p,n,o=setup()
+    c=np.random.default_rng(8).normal(size=(9,16,16))
+    _,g=reconstruct(c,p,n,o,project=False)
+    assert np.max(abs(np.einsum('qra,qa->qr',g,E))) > .1
+
+
+
+
+class ProjectedExplosionTests(unittest.TestCase):
+    def test_stencil(self):
+        for union in (False, True):
+            for bounds in ((4,4,12,12),(2,3,9,10),(2,2,3,3)):
+                with self.subTest(union=union,bounds=bounds):
+                    check_legal_footprint_mean_and_characteristic(union,bounds)
+
+    def test_closed_interface(self):
+        for union in (False,True):
+            for collision in (False,True):
+                for bounds in ((4,4,12,12),(2,3,14,12),(2,2,3,3)):
+                    with self.subTest(union=union,collision=collision,bounds=bounds):
+                        check_full_two_hop_closed_corner_budget(union,collision,bounds)
+
+    def test_projection(self):
+        check_projection_is_distinguished_by_characteristic_not_global_mass()
+
+    def test_affine_and_shift_invariance(self):
+        p,n,o=setup()
+        y,x=np.indices((16,16))
+        c=np.array([.7+q*.01+x*.03+y*.05 for q in range(9)])
+        out,g=reconstruct(c,p,n,o)
+        available=n[:,::2]!=n[:,1::2]
+        gradient=np.array([.03,.05])*available
+        expected=np.broadcast_to(gradient,(9,*gradient.shape)).copy()
+        expected[1:]-=(np.einsum('qra,qa->qr',expected[1:],E[1:])/
+                       np.sum(E[1:]**2,axis=1)[:,None])[:,:,None]*E[1:,None,:]
+        np.testing.assert_allclose(g,expected,atol=2e-16)
+        shifted,_=reconstruct(c-W[:,None,None],p,n,o)
+        np.testing.assert_allclose(out-W[:,None],shifted,atol=5e-16)
+
+
+class ProjectedKernelTests(unittest.TestCase):
+    @unittest.skipUnless(shutil.which("g++"), "g++ is required for actual-kernel CPU arithmetic")
+    def test_actual_kernel_fp32_shifted_and_unshifted(self):
+        p, neighbors, offsets = setup(True)
+        parent = BlockLayout2D.build(16,16,4,4,periodic=(True,True))
+        child = p.fine_layout((8,4))  # deliberately unequal parent/child strides
+        ids, offsets = projected_explosion_tables(p,parent,np.where(p.covered,OUTER_GHOST,ACTIVE))
+        cells = int(np.prod(parent.local_shape))
+        targets = child.owner.ravel()[p.ghost_fine]
+        donors = parent.owner.ravel()[p.ghost_coarse]
+        source = (Path(__file__).resolve().parents[2] /
+                  "src/CelerisLab/lbm/kernels/step/block_transfer.cu").read_text()
+        kernel = source.split('extern "C" __global__ void BlockExplodeProjected(',1)[1]
+        kernel = 'void BlockExplodeProjected(' + kernel.split('// Targets are receiver-local SOURCE slots',1)[0]
+        def array(name, values, kind):
+            v = np.asarray(values).ravel()
+            text = ','.join(str(int(x)) if kind=='uint64_t' else float(x).hex()+'f' for x in v)
+            return f"{kind} {name}[] = {{{text}}};\n"
+        for shifted in (False,True):
+            c=np.random.default_rng(11).normal(0,.001,(9,16,16))
+            if not shifted:c+=W[:,None,None]
+            c=c.astype(np.float32)
+            packed=np.full(parent.nblocks*9*cells,np.nan,np.float32)
+            for q in range(9):packed[parent.slot(parent.owner.ravel(),q)]=c[q].ravel()
+            # All halo/covered inputs are poisoned; kernel must use legal cores.
+            for q in range(9):packed[parent.slot(parent.owner.ravel()[p.covered.ravel()],q)]=np.nan
+            # Hex initializer needs a portable expression for poisoned NaNs.
+            data=array('coarse',packed,'float').replace('nanf','NAN')
+            code = '#include <cstdint>\n#include <cmath>\n#include <cstdio>\nusing fpxx=float;\n'
+            code += f'constexpr unsigned NQ=9, TOTAL_CELLS={int(np.prod(child.local_shape))};\n'
+            code += 'struct Id {unsigned x;}; Id blockIdx{0},blockDim{1},threadIdx{0};\n'
+            code += 'unsigned index_f(unsigned k,unsigned q){return q*TOTAL_CELLS+k;}\n'
+            code += 'int d_cx[]={0,1,-1,0,0,1,-1,1,-1},d_cy[]={0,0,0,1,-1,1,-1,-1,1};\n'+kernel
+            code += data+array('target',targets,'uint64_t')+array('donor',donors,'uint64_t')
+            code += array('neighbor',ids,'uint64_t')+array('offset',offsets,'float')
+            code += f'float fine[{child.nblocks*9*int(np.prod(child.local_shape))}]={{}};\n'
+            code += f'int main(){{for(unsigned r=0;r<{len(targets)};++r){{threadIdx.x=r;BlockExplodeProjected(coarse,fine,target,donor,{len(targets)},{cells},neighbor,offset);}}'
+            code += f'for(unsigned q=0;q<9;++q)for(unsigned r=0;r<{len(targets)};++r){{auto t=target[r];printf("%.9g\\n",fine[(t/TOTAL_CELLS)*9*TOTAL_CELLS+q*TOTAL_CELLS+t%TOTAL_CELLS]);}}}}'
+            with tempfile.TemporaryDirectory() as folder:
+                src=Path(folder)/'kernel.cpp'; binary=Path(folder)/'kernel'
+                src.write_text(code)
+                subprocess.run(['g++','-std=c++17','-O2',str(src),'-o',str(binary)],check=True,capture_output=True)
+                result=np.fromstring(subprocess.check_output([str(binary)],text=True),sep=' ').reshape(9,-1)
+            expected,_=reconstruct(c.astype(float),p,neighbors,offsets)
+            np.testing.assert_allclose(result,expected,atol=6e-8,rtol=2e-7)
+
+
+UNIONS = [
+    [(8, 8, 24, 20)],
+    [(8, 8, 16, 20), (16, 8, 24, 20)],       # abutting
+    [(8, 8, 18, 20), (14, 8, 24, 20)],       # overlap
+    [(8, 8, 16, 20), (17, 8, 24, 20)],       # gap 1
+    [(8, 8, 16, 20), (18, 8, 24, 20)],       # gap 2
+    [(8, 8, 16, 20), (19, 8, 24, 20)],       # gap 3
+    [(8, 8, 20, 14), (8, 14, 14, 22)],       # L concavity
+    [(4, 4, 10, 10), (18, 16, 26, 26)],      # separated
+    [(4, 4, 5, 7), (4, 5, 7, 7)],           # known concave exit/re-entry path
+]
+
+
+def decode(layout, neighbors):
+    inverse = np.full(layout.hole, -1, dtype=int)
+    inverse[layout.owner[layout.owned]] = np.flatnonzero(layout.owned)
+    return inverse[neighbors]
+
+
+def check_pair_stencil(pair, layout, kind):
+    ids, offsets = projected_explosion_tables(pair, layout, kind)
+    neighbors = decode(layout, ids)
+    legal = set(map(int, pair.ghost_coarse))
+    assert len(np.unique(pair.ghost_fine)) == len(pair.ghost_fine)
+    assert set(neighbors.ravel()) <= legal
+    assert layout.owned.ravel()[neighbors].all()
+    assert (kind.ravel()[neighbors] == ACTIVE).all()
+    assert not pair.covered.ravel()[neighbors].any()
+    ny, nx = pair.coarse_shape
+    for row, donor in enumerate(pair.ghost_coarse):
+        y, x = divmod(int(donor), nx)
+        for axis, (dx, dy) in enumerate(((1, 0), (0, 1))):
+            ends = [(x - dx, y - dy), (x + dx, y + dy)]
+            expected = []
+            for xx, yy in ends:
+                outside = not (0 <= xx < nx and 0 <= yy < ny)
+                if outside and not layout.periodic[axis]:
+                    break
+                cell = (yy % ny) * nx + xx % nx
+                if cell not in legal:
+                    break
+                expected.append(cell)
+            if len(expected) != 2:
+                expected = [int(donor)] * 2
+            np.testing.assert_array_equal(neighbors[row, 2*axis:2*axis+2], expected)
+        fy, fx = divmod(int(pair.ghost_fine[row]), pair.fine_shape[1])
+        expected = [pair.fine_origin[0]+(fx+.5)/2-(x+.5),
+                    pair.fine_origin[1]+(fy+.5)/2-(y+.5)]
+        np.testing.assert_array_equal(offsets[row], expected)
+    assert set(offsets.ravel()) == {-.25, .25}
+    assert ids.dtype == np.uint64 and ids.flags.c_contiguous
+    assert offsets.dtype == np.float32 and offsets.flags.c_contiguous
+    return neighbors, offsets
+
+
+class GenericProjectedPairs(unittest.TestCase):
+    def test_single_window_and_singleton_union_exact_stencils(self):
+        for bounds in ((4,4,12,12), (2,3,9,10), (2,2,3,3)):
+            a, an, ao = setup(False, bounds)
+            b, bn, bo = setup(True, bounds)
+            np.testing.assert_array_equal(a.ghost_coarse, b.ghost_coarse)
+            np.testing.assert_array_equal(an, bn)
+            np.testing.assert_array_equal(ao, bo)
+            # Coordinates differ between scalar and union arrays; physical rows don't.
+            ay, ax = np.divmod(a.ghost_fine, a.fine_shape[1])
+            by, bx = np.divmod(b.ghost_fine, b.fine_shape[1])
+            np.testing.assert_array_equal(ax + 2*a.fine_origin[0], bx)
+            np.testing.assert_array_equal(ay + 2*a.fine_origin[1], by)
+
+    def test_union_decomposition_permutation_and_topologies(self):
+        cfg = LBMConfig(nx=30, ny=30, viscosity=.1)
+        layout = BlockLayout2D.build(30,30,6,5,periodic=(True,True))
+        stencils = []
+        for rectangles in UNIONS:
+            pair = FixedPatchSet2D.from_config(cfg, rectangles)
+            kind = np.where(pair.covered, OUTER_GHOST, ACTIVE)
+            n, o = check_pair_stencil(pair, layout, kind)
+            other = FixedPatchSet2D.from_config(cfg, rectangles[::-1])
+            on, oo = projected_explosion_tables(other, layout, kind)
+            np.testing.assert_array_equal(n, decode(layout, on))
+            np.testing.assert_array_equal(o, oo)
+            stencils.append((pair.ghost_fine, pair.ghost_coarse, n, o))
+            c = np.random.default_rng(92).normal(size=(9,30,30))
+            c[:, pair.covered] = np.nan
+            values, gradients = reconstruct(c, pair, n, o)
+            self.assertTrue(np.isfinite(values).all())
+            np.testing.assert_allclose(np.einsum('qra,qa->qr', gradients, E),0,atol=1e-15)
+            # q0 keeps its full gradient; no division by zero or forced zero.
+            expected_q0 = .5*(c[0].ravel()[n[:,1::2]]-c[0].ravel()[n[:,::2]])
+            np.testing.assert_array_equal(gradients[0], expected_q0)
+            self.assertGreater(np.max(abs(gradients[0])), .1)
+            for donor in np.unique(pair.ghost_coarse):
+                rows = pair.ghost_coarse == donor
+                self.assertEqual(rows.sum(),4)
+                np.testing.assert_allclose(values[:,rows].mean(axis=1),c.reshape(9,-1)[:,donor],atol=1e-15)
+                for q in range(1,9):
+                    delta = o[rows,None,:]-o[None,rows,:]
+                    parallel = delta[...,0]*E[q,1] == delta[...,1]*E[q,0]
+                    diff = values[q,rows][:,None]-values[q,rows][None,:]
+                    np.testing.assert_allclose(diff[parallel],0,atol=1e-15)
+        for split in stencils[1:3]:
+            for expected, actual in zip(stencils[0],split):
+                np.testing.assert_array_equal(actual,expected)
+
+    def test_nested_scalar_origins_sparse_holes_and_unequal_strides(self):
+        cases = [(CFG, FOUR), (LBMConfig(nx=16,ny=16,viscosity=.02),
+                               [(4,4,12,12),(8,8,16,16),(8,8,16,16)])]
+        for cfg, refs in cases:
+            hierarchy = build_hierarchy(cfg,refs)
+            for index,pair in enumerate(hierarchy.pairs):
+                if index == 0:
+                    layout = BlockLayout2D.build(cfg.ny,cfg.nx,4,4,periodic=(True,True))
+                else:
+                    prior = hierarchy.pairs[index-1]
+                    layout = (prior.fine_layout((4,8)) if isinstance(prior,FixedPatchSet2D)
+                              else BlockLayout2D.build(*prior.fine_shape,4,8,periodic=(False,False)))
+                kind = hierarchy.kinds[index]
+                n,o = check_pair_stencil(pair,layout,kind)
+                c = np.random.default_rng(index).normal(size=(9,*pair.coarse_shape))
+                c[:,~layout.owned | (kind != ACTIVE)] = np.nan
+                self.assertTrue(np.isfinite(reconstruct(c,pair,n,o)[0]).all())
+                if index and isinstance(pair,FixedPatchSet2D):
+                    self.assertTrue((~layout.owned).any())
+                self.assertEqual(layout.periodic, (index == 0, index == 0))
+
+    def test_periodicity_is_per_axis_and_missing_pairs_repeat_center(self):
+        cfg=LBMConfig(nx=16,ny=16,viscosity=.1)
+        p=FixedPatch2D.from_config(cfg,(2,2,14,14))
+        kind=np.where(p.covered,OUTER_GHOST,ACTIVE)
+        results=[]
+        for periodic in ((False,False),(True,False),(False,True),(True,True)):
+            layout=BlockLayout2D.build(16,16,4,4,periodic=periodic)
+            n,_=check_pair_stencil(p,layout,kind)
+            results.append(n)
+            y,x=np.divmod(p.ghost_coarse,16)
+            for axis,coordinate in enumerate((x,y)):
+                edge=(coordinate==0)|(coordinate==15)
+                if not periodic[axis]:
+                    np.testing.assert_array_equal(n[edge,2*axis:2*axis+2],
+                        np.repeat(p.ghost_coarse[edge,None],2,axis=1))
+        self.assertTrue((results[0]!=results[1]).any())
+        self.assertTrue((results[0]!=results[2]).any())
+        self.assertTrue((results[1]!=results[3]).any())
+
+    def test_invalid_parent_donors_reject_before_owner_lookup(self):
+        p,_,_=setup()
+        layout=BlockLayout2D.build(16,16,4,4)
+        kind=np.where(p.covered,OUTER_GHOST,ACTIVE)
+        for nonactive in (1,2,255):
+            bad=kind.copy(); bad.ravel()[p.ghost_coarse[0]]=nonactive
+            with self.assertRaisesRegex(ValueError,'ACTIVE'):
+                projected_explosion_tables(p,layout,bad)
+        with self.assertRaisesRegex(ValueError,'shape'):
+            projected_explosion_tables(p,layout,kind[:1])
+        hole_layout=BlockLayout2D.build(16,16,4,4,origins=[(0,0)])
+        with self.assertRaisesRegex(ValueError,'owned'):
+            projected_explosion_tables(p,hole_layout,kind)
+
+    def test_generic_two_hop_mass_and_momentum_budget(self):
+        cfg=LBMConfig(nx=30,ny=30,viscosity=.1)
+        layout=BlockLayout2D.build(30,30,6,5)
+        grazing_counts=set()
+        for rectangles in UNIONS:
+            pair=FixedPatchSet2D.from_config(cfg,rectangles)
+            ids,o=projected_explosion_tables(pair,layout,np.where(pair.covered,OUTER_GHOST,ACTIVE))
+            n=decode(layout,ids)
+            q,k=np.divmod(pair.coalesce_coarse.astype(np.int64),900)
+            y,x=np.divmod(k,30)
+            grazing=~pair.covered[(y-E[q,1])%30,(x-E[q,0])%30]
+            grazing_counts.add(int(grazing.sum()))
+            self.assertTrue(grazing.any())
+            for collision in (False,True):
+                rng=np.random.default_rng(17)
+                c=W[:,None,None]*(1+rng.normal(0,.002,(9,30,30)))
+                f=W[:,None,None]*(1+rng.normal(0,.002,(9,*pair.fine_shape)))
+                start=totals(c,f,pair)
+                c[:,pair.covered]=np.nan
+                for _ in range(4):
+                    f.reshape(9,-1)[:,pair.ghost_fine]=reconstruct(c,pair,n,o)[0]
+                    for _ in range(2):
+                        f=np.array([np.roll(f[q],(ey,ex),(0,1)) for q,(ex,ey) in enumerate(E)])
+                        f[:,pair.fine_kind==OUTER_GHOST]=np.nan
+                        if collision:
+                            f[:,pair.fine_kind==ACTIVE]=collide(f[:,pair.fine_kind==ACTIVE],pair.tau_fine)
+                    out=np.array([np.roll(c[q],(ey,ex),(0,1)) for q,(ex,ey) in enumerate(E)])
+                    packets=f.reshape(-1)[pair.coalesce_fine].mean(axis=1)
+                    self.assertTrue(np.isfinite(packets[grazing]).all())
+                    out.reshape(-1)[pair.coalesce_coarse]=packets
+                    if collision:
+                        out[:,~pair.covered]=collide(out[:,~pair.covered],pair.tau_coarse)
+                    out[:,pair.covered]=np.nan
+                    c=out
+                    np.testing.assert_allclose(totals(c,f,pair),start,rtol=0,atol=4e-12)
+        self.assertGreater(len(grazing_counts),1)  # not a hard-coded eight-corner oracle
@@ -0,0 +1,162 @@
+"""Host-only checks for the opt-in CUDA gate; never imports or compiles CUDA."""
+from copy import deepcopy
+import importlib.util
+from pathlib import Path
+import unittest
+from unittest.mock import patch
+
+import numpy as np
+
+from CelerisLab.config import LBMConfig
+from CelerisLab.lbm.blocks import BlockLayout2D
+from CelerisLab.lbm.hierarchy import build_hierarchy
+from CelerisLab.lbm.refinement import ACTIVE, OUTER_GHOST, FixedPatch2D, FixedPatchSet2D
+from CelerisLab.lbm.refinement_tables import projected_explosion_tables
+from tests.unit.test_hierarchy import CFG, FOUR
+from tests.unit.test_projected_explosion import decode, reconstruct, totals
+
+PATH = Path(__file__).resolve().parents[1] / 'validation/multigrid/check_projected_pairs.py'
+spec = importlib.util.spec_from_file_location('projected_pair_gate', PATH)
+gate = importlib.util.module_from_spec(spec)
+spec.loader.exec_module(gate)
+
+
+class ProjectedGateOracle(unittest.TestCase):
+    def check_pair(self, pair, layout, kind):
+        ids, offsets = projected_explosion_tables(pair, layout, kind)
+        neighbors = decode(layout, ids)
+        coarse = np.random.default_rng(731).normal(size=(9, *pair.coarse_shape))
+        legal = np.zeros(pair.coarse_shape, bool)
+        legal.ravel()[pair.ghost_coarse] = True
+        coarse[:, ~legal] = np.nan
+        expected, _ = reconstruct(coarse, pair, neighbors, offsets)
+        # The coordinate oracle must not accidentally share production tables.
+        with patch('CelerisLab.lbm.refinement_tables.projected_explosion_tables',
+                   side_effect=AssertionError('oracle used production stencil')):
+            actual = gate.independent_explosion(coarse, pair, layout, kind)
+        np.testing.assert_allclose(actual, expected, rtol=0, atol=2e-15)
+        center = coarse.reshape(9, -1)[:, pair.ghost_coarse]
+        self.assertTrue(np.isfinite(actual).all())
+        self.assertGreater(np.max(abs(actual[0] - center[0])), .01)
+        self.assertGreater(np.max(abs(actual[1:] - center[1:])), .01)
+        return coarse, neighbors, offsets, actual
+
+    def test_scalar_union_nested_sparse_and_unequal_strides(self):
+        def fine_layout(pair, block):
+            return (pair.fine_layout(block) if isinstance(pair, FixedPatchSet2D) else
+                    BlockLayout2D.build(*pair.fine_shape, *block, periodic=(False,False)))
+        small = LBMConfig(nx=16, ny=16, viscosity=.02)
+        fixtures = [(small, [(4,4,12,12), (8,8,16,16), (8,8,16,16)]),
+                    (CFG, FOUR), (small, [[(4,4,5,7), (4,5,7,7)]])]
+        for cfg, refs in fixtures:
+            hierarchy = build_hierarchy(cfg, refs)
+            for index, pair in enumerate(hierarchy.pairs):
+                block, child_block = ((4,4), (4,8)) if index % 2 == 0 else ((4,8), (4,4))
+                layout = (BlockLayout2D.build(cfg.ny, cfg.nx, *block) if index == 0
+                          else fine_layout(hierarchy.pairs[index-1], block))
+                with self.subTest(refs=refs, pair=index):
+                    self.assertNotEqual(np.prod(layout.local_shape),
+                                        np.prod(fine_layout(pair, child_block).local_shape))
+                    if index and isinstance(pair, FixedPatchSet2D):
+                        self.assertTrue((~layout.owned).any())
+                    self.check_pair(pair, layout, hierarchy.kinds[index])
+
+    def test_axis_periodicity_and_mean_preserving_mutants(self):
+        pair = FixedPatch2D.from_config(LBMConfig(nx=16,ny=16,viscosity=.1), (2,2,14,14))
+        kind = np.where(pair.covered, OUTER_GHOST, ACTIVE)
+        outputs = []
+        for periodic in ((False,False), (True,False), (False,True), (True,True)):
+            layout = BlockLayout2D.build(16,16,4,4,periodic=periodic)
+            coarse, neighbors, offsets, actual = self.check_pair(pair, layout, kind)
+            outputs.append(actual)
+            donors, first, inverse = np.unique(pair.ghost_coarse, return_index=True, return_inverse=True)
+            wrong = neighbors[first[np.roll(np.arange(len(donors)), 1)]][inverse]
+            for bad_neighbors, bad_offsets in ((neighbors, -offsets), (wrong, offsets)):
+                mutant, _ = reconstruct(coarse, pair, bad_neighbors, bad_offsets)
+                self.assertGreater(np.max(abs(mutant - actual)), .01)
+                for donor in donors:
+                    rows = pair.ghost_coarse == donor
+                    self.assertEqual(rows.sum(), 4)
+                    np.testing.assert_allclose(mutant[:,rows].mean(axis=1),
+                                               coarse.reshape(9,-1)[:,donor], rtol=0, atol=1e-15)
+            bad_kind = kind.copy(); bad_kind.ravel()[pair.ghost_coarse[0]] = OUTER_GHOST
+            with self.assertRaisesRegex(AssertionError, 'illegal center donor'):
+                gate.independent_explosion(coarse, pair, layout, bad_kind)
+        for i, j in ((0,1), (0,2), (1,3), (2,3)):
+            self.assertGreater(np.max(abs(outputs[i] - outputs[j])), .01)
+
+    def test_concave_replay_preserves_existing_fp64_budget(self):
+        cfg, refs, blocks = gate.cases()['concave']
+        hierarchy = build_hierarchy(cfg, refs); pair = hierarchy.pairs[0]
+        layout = BlockLayout2D.build(cfg.ny, cfg.nx, *blocks[0])
+        rng = np.random.default_rng(17)
+        values = tuple(gate.W[:,None,None] * (1 + rng.normal(0,.002,(9,*shape)))
+                       for shape in (pair.coarse_shape, pair.fine_shape))
+        start = totals(*values, pair)
+        values[0][:,pair.covered] = np.nan
+        for _ in range(8):
+            values = gate.replay_two_hops(values, pair, layout, hierarchy.kinds[0])
+            np.testing.assert_allclose(totals(*values, pair), start, rtol=0, atol=4e-12)
+        self.assertEqual(gate.REPLAY_ATOL, 3e-6)  # CUDA replay bound is separate.
+
+
+class ProjectedGateReceipts(unittest.TestCase):
+    def test_digest_exact_finite_bits_and_nan_masks(self):
+        values = np.array([0., -0., np.nan, 1.], dtype=np.float32)
+        self.assertEqual(gate.digest(values), gate.digest(values.copy()))
+        payload = values.copy(); payload.view(np.uint32)[2] = 0x7fc00001
+        self.assertEqual(gate.digest(values), gate.digest(payload))
+        variants = [np.array([-0., -0., np.nan, 1.], np.float32),
+                    np.array([0., np.nan, -0., 1.], np.float32),
+                    np.array([0., -0., np.nan, np.nextafter(np.float32(1), np.float32(2))], np.float32),
+                    values.reshape(2,2), values.astype(np.float64)]
+        for changed in variants:
+            self.assertNotEqual(gate.digest(values), gate.digest(changed))
+        with self.assertRaisesRegex(AssertionError, 'infinite'):
+            gate.digest(np.array([np.inf]))
+
+    def test_snapshot_negative_controls_and_exact_dev_options(self):
+        snapshot = [dict(step=0, levels=[dict(raw='raw',public='public',active=4)],
+                         mass_momentum=[1.,0.,0.],observed_level_hops=[0,0])]
+        gate.compare_snapshots(snapshot, deepcopy(snapshot))
+        diagnostic = deepcopy(snapshot); diagnostic[0]['mass_momentum'][0] = 2.
+        gate.compare_snapshots(snapshot, diagnostic)  # Diagnostics are not bitwise gate fields.
+        mutants = [[]]
+        for key, value in (('raw','changed'), ('public','changed'), ('active',3)):
+            changed = deepcopy(snapshot); changed[0]['levels'][0][key] = value
+            mutants.append(changed)
+        changed = deepcopy(snapshot); changed[0]['step'] = 1; mutants.append(changed)
+        changed = deepcopy(snapshot); changed[0]['observed_level_hops'] = [0,1]; mutants.append(changed)
+        for changed in mutants:
+            with self.assertRaises(AssertionError):
+                gate.compare_snapshots(snapshot, changed)
+        self.assertEqual(gate.default_options('omitted'), {})
+        self.assertEqual(gate.default_options('constant'), {'explosion':'constant'})
+        self.assertEqual(gate.default_options('projected_linear'), {'explosion':'projected_linear'})
+
+    def test_baseline_receipt_rejects_provenance_and_contract_mutants(self):
+        keys = [f'{name}:shifted={shifted}' for name in gate.cases() for shifted in (False,True)]
+        good = dict(completed=True,dry_run=False,mode='baseline',production_revision=gate.BASE,
+                    source=dict(revision=gate.BASE,dirty=False),driver_sha256='driver',
+                    stops=list(gate.STOPS),operator_tolerance=[6e-8,2e-7],
+                    rest_tolerance=[3e-7,1e-6],replay_tolerance=[3e-6,0],default_snapshots=dict.fromkeys(keys, []),
+                    actual_build_sidecars=[{'ptx_sha256':'captured'}])
+        self.assertIs(gate.baseline_receipt(good, 'driver', keys), good)
+        mutants = dict(completed=False,dry_run=True,mode='candidate',production_revision='wrong',
+                       driver_sha256='wrong',stops=[0,1,2],operator_tolerance=[1e-6,2e-7],
+                       rest_tolerance=[3e-7,1e-5],replay_tolerance=[3e-6,1e-7],actual_build_sidecars=[],default_snapshots={})
+        for field, value in mutants.items():
+            bad = deepcopy(good); bad[field] = value
+            with self.subTest(field=field), self.assertRaises(ValueError):
+                gate.baseline_receipt(bad, 'driver', keys)
+        for changes in (dict(revision='wrong'), dict(dirty=True), dict(dirty=None)):
+            bad = deepcopy(good); bad['source'].update(changes)
+            with self.assertRaises(ValueError):
+                gate.baseline_receipt(bad, 'driver', keys)
+        bad = deepcopy(good); bad['default_snapshots']['unexpected'] = []
+        with self.assertRaises(ValueError):
+            gate.baseline_receipt(bad, 'driver', keys)
+
+
+if __name__ == '__main__':
+    unittest.main()
@@ -0,0 +1,198 @@
+"""Production host dispatch with CUDA doubles; no CUDA compilation or flow runs."""
+from contextlib import nullcontext
+from dataclasses import replace
+from unittest.mock import Mock
+import unittest
+
+import numpy as np
+
+from CelerisLab.config import LBMConfig
+from tests.unit.test_hierarchy import CFG, FOUR
+from tests.unit.test_refinement_three_level_multipatch import host_module
+
+
+def backend(**options):
+    host = host_module()
+    calls, allocations, storage = [], [], {}
+    context = Mock(activate=nullcontext, sm_arch='sm_70')
+    host.cuda.mem_alloc.side_effect = lambda size: allocate(size)
+
+    def allocate(size):
+        pointer = Mock(name=f'buffer{len(allocations)}', size=size)
+        allocations.append(pointer)
+        return pointer
+
+    def load(_):
+        module = Mock()
+        module.get_global.return_value = (Mock(), 20)
+        module.get_function.side_effect = lambda name: Mock(
+            name=name, side_effect=lambda *a, **kw: calls.append((name, a, kw)))
+        return module
+
+    host.compiler.load_module.side_effect = load
+    host.cuda.memcpy_htod.side_effect = lambda ptr, a: storage.__setitem__(id(ptr), np.array(a, copy=True))
+    host.cuda.memcpy_dtoh.side_effect = lambda a, ptr: np.copyto(a, storage[id(ptr)])
+    cfg = options.pop('cfg', CFG)
+    refinements = options.pop('refinements', FOUR)
+    blocks = options.pop('level_blocks', [(4, 4)] * (len(refinements) + 1))
+    run = host.FixedPatchStepper(cfg, context=context, refinements=refinements,
+                                level_blocks=blocks, **options)
+    run.initialize(*(np.full(level.shape, 1/9, np.float32) for level in run._levels))
+    return run, host, calls, allocations, storage
+
+
+def trace(run, calls, allocations, storage):
+    """Stable pointer identities expose allocations/arguments, not just kernel names."""
+    pointer = {id(value): index for index, value in enumerate(allocations)}
+    launches = [(name, tuple(('ptr', pointer[id(a)]) if id(a) in pointer else int(a)
+                            for a in args), kw['grid'], kw['block'])
+                for name, args, kw in calls]
+    uploads = [(index, value.dtype.str, value.shape, value.tobytes())
+               for index, ptr in enumerate(allocations) if (value := storage.get(id(ptr))) is not None]
+    return [p.size for p in allocations], uploads, launches
+
+
+class ProjectedPairDispatch(unittest.TestCase):
+    def test_omitted_and_constant_have_identical_allocations_uploads_and_launches(self):
+        results = []
+        for options in ({}, {'explosion': 'constant'}):
+            run, host, calls, allocations, storage = backend(**options)
+            self.assertEqual(run._explosion, 'constant')
+            self.assertTrue(all(p.neighbors is None and p.offsets is None for p in run._pairs))
+            run.step()
+            explosion = [args for name, args, _ in calls if name == 'BlockExplode']
+            self.assertEqual(len(explosion), 7)
+            self.assertTrue(all(len(args) == 6 for args in explosion))
+            self.assertFalse(any(name == 'BlockExplodeProjected' for name, _, _ in calls))
+            results.append(trace(run, calls, allocations, storage))
+            run.close()
+        self.assertEqual(*results)
+
+    def test_projected_adds_exactly_two_tables_per_adjacent_pair(self):
+        for depth in (2, 3, 4):
+            constant, _, _, ca, _ = backend(refinements=FOUR[:depth-1])
+            projected, _, calls, pa, storage = backend(
+                refinements=FOUR[:depth-1], explosion='projected_linear')
+            self.assertEqual(len(pa)-len(ca), 2*(depth-1))
+            for pair, geometry in zip(projected._pairs, projected.hierarchy.pairs):
+                self.assertEqual(storage[id(pair.neighbors)].shape, (len(geometry.ghost_fine), 4))
+                self.assertEqual(storage[id(pair.offsets)].shape, (len(geometry.ghost_fine), 2))
+                self.assertEqual(pair.neighbors.size, len(geometry.ghost_fine)*4*8)
+                self.assertEqual(pair.offsets.size, len(geometry.ghost_fine)*2*4)
+            projected.step()
+            explosions = [args for name, args, _ in calls if name == 'BlockExplodeProjected']
+            self.assertEqual(len(explosions), 2**(depth-1)-1)
+            self.assertTrue(all(len(args) == 8 for args in explosions))
+            self.assertFalse(any(name == 'BlockExplode' for name, _, _ in calls))
+            for args in explosions:
+                pair = next(p for p in projected._pairs if args[2] is p.ghosts)
+                self.assertIs(args[6], pair.neighbors)
+                self.assertIs(args[7], pair.offsets)
+                self.assertEqual(args[5], pair.parent_cells)
+            constant.close(); projected.close()
+
+    def test_three_and_four_level_schedule_has_fresh_midpoint_sources(self):
+        for depth in (3, 4):
+            for explosion in ('constant', 'projected_linear'):
+                run, host, calls, allocations, storage = backend(
+                    refinements=FOUR[:depth-1], explosion=explosion)
+                before = len(allocations)
+                events = []
+                for index, pair in enumerate(run._pairs):
+                    pair.explode.side_effect = lambda source, *a, index=index, **kw: events.append(('explode', index, source))
+                    pair.coalesce.side_effect = lambda child, source, *a, index=index, **kw: events.append(('restrict', index, source))
+                for index, level in enumerate(run._levels):
+                    level.kernel.side_effect = lambda source, *a, index=index, **kw: events.append(('step', index, source))
+                    level.halo_copy.side_effect = lambda source, *a, index=index, **kw: events.append(('halo', index, source))
+                expected = []
+
+                def hop(index, source):
+                    if index+1 < depth:
+                        expected.append(('explode', index, source))
+                        child = run._levels[index+1]
+                        hop(index+1, child.current)
+                        hop(index+1, child.spare)
+                    expected.append(('halo', index, source))
+                    if index+1 < depth:
+                        expected.append(('restrict', index, source))
+                    expected.append(('step', index, source))
+
+                hop(0, run._levels[0].current)
+                run.step()
+                self.assertEqual(events, expected)
+                self.assertEqual([level.kernel.call_count for level in run._levels], [2**i for i in range(depth)])
+                self.assertEqual(len(allocations), before)
+                self.assertEqual(run.step_count, 1)
+                for index in range(1, depth-1):
+                    feeds = [source for name, pair, source in events if name == 'explode' and pair == index]
+                    self.assertEqual(feeds, [run._levels[index].current, run._levels[index].spare] * (2**(index-1)))
+                run.close()
+
+    def test_scalar_windows_follow_the_same_pair_path(self):
+        run, _, _, _, _ = backend(cfg=LBMConfig(nx=16,ny=16,viscosity=.02),
+            refinements=[(4,4,12,12),(8,8,16,16),(8,8,16,16)],
+            level_blocks=[(4,4),(4,8),(8,4),(4,4)], explosion='projected_linear')
+        self.assertTrue(all(pair.neighbors is not None for pair in run._pairs))
+        self.assertEqual([pair.parent_cells for pair in run._pairs], [36,60,60])
+        run.step()
+        self.assertEqual([level.kernel.call_count for level in run._levels], [1,2,4,8])
+        run.close()
+
+    def test_physics_gate_precedes_context_and_allocations(self):
+        host = host_module()
+        context = Mock()
+        options = dict(refinements=FOUR[:1], level_blocks=[(4,4)]*2,
+                       explosion='projected_linear', context=context)
+        for cfg, changes in [(CFG, {'explosion':'unknown'}),
+                             (CFG, {'coarse_boundary':'slot_reservoir'}),
+                             (CFG, {'coarse_boundary':'channel'}),
+                             (CFG, {'level_blocks':[None,None], 'refinements':[(6,6,26,26)]}),
+                             (CFG, {'level_objects':[(),(object(),)]}),
+                             (CFG, {'level_jets':[(),(object(),)]}),
+                             (replace(CFG,collision='MRT'), {}),
+                             (replace(CFG,les_enabled=True), {})]:
+            with self.subTest(changes=changes, cfg=cfg), self.assertRaisesRegex(ValueError,'explosion'):
+                host.FixedPatchStepper(cfg, **dict(options, **changes))
+        context.activate.assert_not_called()
+        host.cuda.mem_alloc.assert_not_called()
+        # The legacy constant path still allows MRT and dense storage.
+        for options in ({'cfg':replace(CFG,collision='MRT')},
+                        {'level_blocks':[None,None], 'refinements':[(6,6,26,26)]}):
+            run, _, _, _, _ = backend(**options)
+            run.close()
+
+    def test_remap_preserves_selector_tables_and_constant_default(self):
+        for explosion in ('constant','projected_linear'):
+            run, host, _, _, storage = backend(refinements=FOUR[:2], explosion=explosion)
+            run._step_count = 7
+            old = run.download()
+            clone = run.remap_child(FOUR[1])
+            self.assertEqual(clone._explosion, explosion)
+            self.assertEqual(clone.step_count, 7)
+            for pair in clone._pairs:
+                self.assertEqual(pair.neighbors is None, explosion == 'constant')
+            for expected, actual in zip(old, clone.download()):
+                np.testing.assert_array_equal(actual,expected)
+            clone.step()
+            self.assertEqual((run.step_count,clone.step_count), (7,8))
+            clone.close(); run.close()
+
+    def test_changed_remap_geometry_keeps_projected_in_both_representations(self):
+        changed = [(22,22,42,42), (72,68,76,76)]
+        for shifted in (False, True):
+            run, _, _, _, _ = backend(cfg=replace(CFG,ddf_shifting=shifted),
+                refinements=FOUR[:2], explosion='projected_linear')
+            run._step_count = 3
+            before = run.download()
+            clone = run.remap_child(changed)
+            self.assertEqual(clone._explosion, 'projected_linear')
+            self.assertEqual(clone.hierarchy.pairs[1].bounds, tuple(changed))
+            self.assertNotEqual(clone._pairs[1].n_ghosts, run._pairs[1].n_ghosts)
+            for old, new in zip(run._pairs, clone._pairs):
+                self.assertIsNot(old.neighbors, new.neighbors)
+                self.assertIsNotNone(new.neighbors)
+            for expected, actual in zip(before, run.download()):
+                np.testing.assert_array_equal(actual, expected)
+            clone.step()
+            self.assertEqual((run.step_count, clone.step_count), (3, 4))
+            clone.close(); run.close()
@@ -157,8 +157,9 @@ class RawExchange(unittest.TestCase):
        host = host_module()
        ctx = Mock()
        with self.assertRaisesRegex(ValueError, 'blocked body'):
-            host.FixedPatchStepper(LBMConfig(nx=32, ny=32, viscosity=.1), (4, 4, 28, 28),
-                                   context=ctx, fine_objects=[body(radius=2.15)], observe_raw_exchange=True)
+            host.FixedPatchStepper(LBMConfig(nx=32, ny=32, viscosity=.1), context=ctx,
+                                   refinements=[(4, 4, 28, 28)],
+                                   level_objects=[(), (body(radius=2.15),)], observe_raw_exchange=True)
        ctx.activate.assert_not_called()

    def test_all_depth_weights(self):
@@ -0,0 +1,45 @@
+"""Host reduction contract for the optional observation-window exchange ledger."""
+import unittest
+
+import numpy as np
+
+from CelerisLab.lbm.raw_exchange import summarize_exchange
+
+
+def reduce(rows, window, duration=None, h=.5, time_end=10):
+    return summarize_exchange(rows, np.array([0, 0, 1]), np.array([False, True, False]),
+                              body_id=0, level=1, h=h, time_end=time_end, window=window,
+                              reference_center=(0., 0.), duration=duration)
+
+
+class ExchangeWindowReduction(unittest.TestCase):
+    def test_window_duration_scaling(self):
+        rows = np.array([[1., 2., 3., 4.], [.5, -1., 0., 1.], [9., 9., 9., 9.]])
+        out = reduce(rows, "window", duration=4)
+        np.testing.assert_array_equal(out["total"]["impulse"], [1.5, 1.])
+        np.testing.assert_array_equal(out["total"]["force"], [1.5 / 4, 1. / 4])
+        self.assertEqual(out["total"]["torque"], 3. / 4)
+        self.assertEqual(out["total"]["mass_rate"], 5. / 4)
+        np.testing.assert_array_equal(out["aperture"]["impulse"], [.5, -1.])
+        self.assertEqual((out["time_start"], out["time_end"]), (6., 10))
+        self.assertEqual(out["sample_count"], 8)  # duration / h fine substeps
+        self.assertEqual(out["window"], "window")
+
+    def test_existing_windows_unchanged(self):
+        rows = np.array([[1., 2., 3., 4.], [0., 0., 0., 0.], [0., 0., 0., 0.]])
+        base = reduce(rows, "last_base_step")
+        self.assertEqual((base["time_start"], base["sample_count"]), (9., 2))
+        np.testing.assert_array_equal(base["total"]["force"], [1., 2.])
+        sub = reduce(rows, "last_substep")
+        self.assertEqual(sub["sample_count"], 1)
+
+    def test_duration_validation(self):
+        rows = np.zeros((3, 4))
+        for bad in (None, 0, -1, 1.5, True):
+            with self.subTest(duration=bad), self.assertRaises(ValueError):
+                reduce(rows, "window", duration=bad)
+        with self.assertRaises(ValueError):
+            reduce(rows, "last_base_step", duration=2)
+
+
+if __name__ == "__main__": unittest.main()
@@ -5,6 +5,7 @@ import pytest

 ROOT = Path(__file__).resolve().parents[2]
 sys.path.insert(0, str(ROOT / "tests/validation"))
+sys.path.insert(0, str(ROOT / "tests/unit"))
 import re100_helpers as h
 import periodic as p

@@ -62,13 +63,16 @@ def test_periodic_synthetic():
    assert not p.assess(rows()[:100])["periodic"]


-def test_production_unmodified():
+def test_production_unmodified(tmp_path):
+    from historical_tree import historical_tree
+
    m = json.loads(
        (ROOT / "tests/validation/data/dfg_re100/source_manifest.json").read_text()
    )
    assert m["commit"] == h.PIN
+    origin = historical_tree(m["commit"], tmp_path)
    for name, digest in m["production_sha256"].items():
-        assert hashlib.sha256((ROOT / name).read_bytes()).hexdigest() == digest, name
+        assert hashlib.sha256((origin / name).read_bytes()).hexdigest() == digest, name


 def test_reference():
@@ -7,13 +7,37 @@ import numpy as np
 import unittest

 sys.path.insert(0, str(Path(__file__).resolve().parents[1] / "validation"))
+sys.path.insert(0, str(Path(__file__).resolve().parent))
 import run_refined_dfg as r
+from historical_tree import historical_tree
+from tempfile import TemporaryDirectory

 h, periodic = r.helpers(r.DEFAULT_SOURCE)


 def test_source_pin():
-    assert r.verify_source(r.DEFAULT_SOURCE)["commit"].startswith("cd3a657")
+    historical = json.loads((r.HERE / "data/refined_dfg/source_manifest.json").read_text())
+    assert historical["commit"].startswith("cd3a657")
+    mrt_history = json.loads((r.HERE / "data/refined_dfg/source_manifest_mrt.json").read_text())
+    assert mrt_history["commit"].startswith("3ea131e")
+    with unittest.TestCase().assertRaisesRegex(RuntimeError, "Source mismatch"):
+        r.verify_source(r.DEFAULT_SOURCE, "MRT", "window")
+    with unittest.TestCase().assertRaisesRegex(RuntimeError, "Source mismatch"):
+        r.verify_source(r.DEFAULT_SOURCE, "MRT")
+    with unittest.TestCase().assertRaisesRegex(RuntimeError, "Source mismatch"):
+        r.verify_source(r.DEFAULT_SOURCE, "SRT")
+    with TemporaryDirectory() as directory:
+        for collision, mode, prefix in (
+            ("SRT", "last_base_step", "cd3a657"),
+            ("MRT", "last_base_step", "3ea131e"),
+            ("MRT", "window", "a233c90"),
+        ):
+            name = {"SRT": "source_manifest.json", "MRT": "source_manifest_mrt.json"}[collision]
+            name = "source_manifest_window.json" if mode == "window" else name
+            commit = json.loads((r.HERE / "data/refined_dfg" / name).read_text())["commit"]
+            assert commit.startswith(prefix)
+            root = historical_tree(commit, Path(directory) / commit)
+            assert r.verify_source(root, collision, mode)["commit"] == commit


 def test_matched_units_and_planes():
@@ -133,24 +157,62 @@ def test_axis_specific_sampling_phase():
    np.testing.assert_allclose(fine_y - ((k + 43) - 0.5) * 0.00125, 0, atol=1e-15)


+def frozen_manifest(observation_mode):
+    """Frozen MRT manifest JSON as recorded, without hashing the working tree."""
+    name = "source_manifest_window.json" if observation_mode == "window" else "source_manifest_mrt.json"
+    return json.loads((r.HERE / "data/refined_dfg" / name).read_text())
+
+
+def selected_manifest(collision, observation_mode):
+    """verify_source's manifest selection with its working-tree hash comparison neutralised.
+
+    Source identity is owned by test_source_pin; this exercises only which frozen manifest
+    verify_source selects and returns for (collision, observation_mode).
+    """
+    from unittest.mock import patch
+
+    class Digest(str):
+        def __ne__(self, other):
+            return False
+
+    class Hash:
+        def __init__(self, data=b""):
+            pass
+
+        def hexdigest(self):
+            return Digest()
+
+    with patch.object(r.hashlib, "sha256", Hash):
+        return r.verify_source(r.DEFAULT_SOURCE, collision, observation_mode)
+
+
 def test_full_requires_completed_pilot():
    with unittest.TestCase().assertRaisesRegex(ValueError, "pilot-results"):
-        r.verify_pilot(None, r.verify_source(r.DEFAULT_SOURCE))
+        r.verify_pilot(None, frozen_manifest("window"))


-def pilot_fixture(path):
+def pilot_fixture(path, observation_mode="window", jet_scenario="none", case_selection="both", uniform_diameter=80, placement="wide"):
    """Synthetic contract fixture only; never a physical result or run receipt."""
-    manifest = r.verify_source(r.DEFAULT_SOURCE)
+    # Receipt-logic fixture: the frozen manifest verify_source returns for a matching tree.
+    # Source identity itself is checked only by test_source_pin.
+    manifest = (r.verify_source(r.DEFAULT_SOURCE, "MRT", "window", jet_scenario)
+                if observation_mode == "window" and jet_scenario != "none" else
+                frozen_manifest(observation_mode))
+    selection = dict(case_selection=case_selection, uniform_diameter=uniform_diameter, placement=placement)
    (path / "plan.json").write_text(
        json.dumps(
            dict(
                source_manifest=manifest,
-                bounds_root_edge=list(r.BOUNDS),
+                **selection,
+                collision="MRT",
+                jet_scenario=jet_scenario,
+                observation_mode=observation_mode,
+                bounds_root_edge=list(r.PLACEMENTS[placement]),
                runner_sha256=r.runner_hash(),
            )
        )
    )
-    for case, diameter in (("uniform", 80), ("refined", 40)):
+    for case, diameter in r.selected_cases(case_selection, uniform_diameter):
        dest = path / case
        dest.mkdir()
        interval = round(0.02 * diameter / r.SPEED)
@@ -177,6 +239,10 @@ def pilot_fixture(path):
            json.dumps(
                dict(
                    case=case,
+                    **selection,
+                    collision="MRT",
+                    jet_scenario=jet_scenario,
+                    observation_mode=observation_mode,
                    mode="pilot",
                    status="pilot_complete",
                    healthy=True,
@@ -192,6 +258,10 @@ def pilot_fixture(path):
            json.dumps(
                dict(
                    case=case,
+                    **selection,
+                    collision="MRT",
+                    jet_scenario=jet_scenario,
+                    observation_mode=observation_mode,
                    mode="pilot",
                    step=interval,
                    runner_sha256=r.runner_hash(),
@@ -208,7 +278,7 @@ def test_pilot_validation_and_calibration():
    with TemporaryDirectory() as tmp:
        path = Path(tmp)
        manifest = pilot_fixture(path)
-        assert r.verify_pilot(path, manifest) == 3606.0
+        assert r.verify_pilot(path, manifest, "MRT", "window") == 3606.0


 def test_reject_malformed_pilot_receipts():
@@ -238,7 +308,7 @@ def test_reject_malformed_pilot_receipts():
            mutate(bad)
            receipt.write_text(json.dumps(bad))
            with unittest.TestCase().assertRaises(ValueError):
-                r.verify_pilot(path, manifest)
+                r.verify_pilot(path, manifest, "MRT", "window")
        # Exact reviewer regression: previously accepted NaN endpoint.
        receipt.write_text(
            json.dumps(
@@ -250,11 +320,11 @@ def test_reject_malformed_pilot_receipts():
            )
        )
        with unittest.TestCase().assertRaises(ValueError):
-            r.verify_pilot(path, manifest)
+            r.verify_pilot(path, manifest, "MRT", "window")
        receipt.write_text(json.dumps(valid))
        (path / "uniform/ready.json").write_text("{}")
        with unittest.TestCase().assertRaises(ValueError):
-            r.verify_pilot(path, manifest)
+            r.verify_pilot(path, manifest, "MRT", "window")


 def test_strict_finite_json_and_deadline():
@@ -283,6 +353,321 @@ def test_pressure_probes_actual_body_mask():
    assert h.pressure_probes(np.ones(pair.fine_shape), fluid, p)["dp"] == 0.0


+def test_matched_mrt_selection():
+    for diameter in (40, 80):
+        srt, sbody, sp = r.config(h, diameter)
+        mrt, mbody, mp = r.config(h, diameter, "MRT")
+        assert mrt["method"]["collision"] == "MRT"
+        mrt["method"]["collision"] = "SRT"
+        assert mrt == srt and mbody == sbody and mp == sp
+    srt_plan, mrt_plan = r.plan(h), r.plan(h, "MRT")
+    for key in ("root", "uniform", "bounds_root_edge", "finest_dx_m", "finest_dt_s"):
+        assert srt_plan[key] == mrt_plan[key]
+    assert "q2/6/8" in mrt_plan["outlet"] and "all nine" in srt_plan["outlet"]
+    cfg, pair, _, host = r.host_geometry(r.DEFAULT_SOURCE, h, "MRT")
+    assert cfg.collision == "MRT" and pair.fine_shape == (240, 568)
+    assert len(host.boundary_cells) > 0
+
+
+def test_reject_collision_receipts():
+    from tempfile import TemporaryDirectory
+
+    for rel in ("plan.json", "uniform/summary.json", "refined/summary.json",
+                "uniform/ready.json", "refined/ready.json"):
+        for invalid in ("SRT", None):
+            with TemporaryDirectory() as tmp:
+                path = Path(tmp)
+                manifest = pilot_fixture(path)
+                receipt = path / rel
+                record = json.loads(receipt.read_text())
+                if invalid is None:
+                    record.pop("collision")
+                else:
+                    record["collision"] = invalid
+                receipt.write_text(json.dumps(record))
+                with unittest.TestCase().assertRaises(ValueError):
+                    r.verify_pilot(path, manifest, "MRT", "window")
+
+
+def test_record_actual_checkout_separately():
+    from source_provenance import checkout_provenance
+
+    actual = checkout_provenance(r.DEFAULT_SOURCE)
+    assert len(actual["checkout_revision"]) == 40
+    assert isinstance(actual["checkout_dirty"], bool)
+    assert selected_manifest("MRT", "window")["production_origin_commit"].startswith("d930")
+
+
+def test_window_plan_preserves_physics():
+    for collision in ("SRT", "MRT"):
+        baseline = r.plan(h, collision)
+        window = r.plan(h, collision, "window")
+        assert baseline.pop("observation_mode") == "last_base_step"
+        assert window.pop("observation_mode") == "window"
+        assert baseline == window
+        assert selected_manifest(collision, "window")["observation_mode"] == "window"
+    with unittest.TestCase().assertRaises(ValueError):
+        r.verify_source(r.DEFAULT_SOURCE, "MRT", "unknown")
+
+
+def test_reject_observation_mode_receipts():
+    from tempfile import TemporaryDirectory
+
+    for mode, other in (("window", "last_base_step"), ("last_base_step", "window")):
+        with TemporaryDirectory() as tmp:
+            path = Path(tmp)
+            manifest = pilot_fixture(path, mode)
+            assert r.verify_pilot(path, manifest, "MRT", mode) == 3606.0
+            with unittest.TestCase().assertRaises(ValueError):
+                r.verify_pilot(path, manifest, "MRT", other)
+        for rel in ("plan.json", "uniform/summary.json", "refined/summary.json",
+                    "uniform/ready.json", "refined/ready.json"):
+            for invalid in (other, None):
+                with TemporaryDirectory() as tmp:
+                    path = Path(tmp)
+                    manifest = pilot_fixture(path, mode)
+                    receipt = path / rel
+                    record = json.loads(receipt.read_text())
+                    if invalid is None:
+                        record.pop("observation_mode")
+                    else:
+                        record["observation_mode"] = invalid
+                    receipt.write_text(json.dumps(record))
+                    with unittest.TestCase().assertRaises(ValueError):
+                        r.verify_pilot(path, manifest, "MRT", mode)
+
+
+class ExchangeFixture:
+    """Synthetic interval ledger for orchestration tests, not a solver or GPU result."""
+    def __init__(self):
+        self.step_count = 11
+        self.events = []
+        self.begin = None
+        self.override = {}
+
+    def start_exchange_window(self):
+        self.begin = self.step_count
+        self.events.append(("start", self.step_count))
+
+    def step(self, n):
+        self.events.append(("step", n))
+        self.step_count += n
+
+    def result(self, start, window):
+        from CelerisLab.lbm.raw_exchange import summarize_exchange
+
+        total = sum(range(start + 1, self.step_count + 1))
+        result = summarize_exchange([[total, -2*total, 0., 0.]], [0], [False],
+            body_id=0, level=1, h=.5, time_end=self.step_count, window=window,
+            reference_center=(80.5, 81.),
+            **({"duration": self.step_count-start} if window == "window" else {}))
+        result.update(self.override)
+        return result
+
+    def read_exchange_window(self, body_id, *, level):
+        assert body_id == 0 and level == 1
+        self.events.append(("read_window", self.step_count))
+        return self.result(self.begin, "window")
+
+    def read_raw_exchange(self, body_id, *, level, window):
+        assert body_id == 0 and level == 1 and window == "last_base_step"
+        self.events.append(("read_raw", self.step_count))
+        return self.result(self.step_count-1, window)
+
+
+def test_window_interval_impulse_sampling_and_units():
+    base, window = ExchangeFixture(), ExchangeFixture()
+    for n in (80, 2000, 3):  # Pilot/dense, early full, and final partial interval.
+        begin = base.step_count
+        a = r.advance_refined_interval(base, n, float("inf"), "last_base_step")
+        w = r.advance_refined_interval(window, n, float("inf"), "window")
+        np.testing.assert_array_equal(w, a)
+        expected = sum(range(begin+1, begin+n+1))
+        np.testing.assert_array_equal(w, [expected, -2*expected])
+        den = .5 * r.SPEED**2 * 40
+        np.testing.assert_array_equal(w/n/den, a/n/den)
+        assert window.step_count == base.step_count == begin+n
+        assert window.events[-3:] == [("start", begin), ("step", n), ("read_window", begin+n)]
+        assert (begin+n/2)*r.SPEED/40 == (window.step_count-n/2)*r.SPEED/40
+    assert not any(event[0] == "read_raw" for event in window.events)
+
+
+def test_window_contract_rejection():
+    for key, value in (("units", "local"), ("window", "last_base_step"),
+                       ("sample_count", 2), ("time_start", 0), ("time_end", 0), ("dt", 1.)):
+        backend = ExchangeFixture()
+        backend.override[key] = value
+        with unittest.TestCase().assertRaisesRegex(RuntimeError, "window force"):
+            r.advance_refined_interval(backend, 80, float("inf"), "window")
+    backend = ExchangeFixture()
+    with unittest.TestCase().assertRaises(TimeoutError):
+        r.advance_refined_interval(backend, 80, 0, "window")
+    assert not backend.events
+
+
+def test_public_jet_configuration_and_geometry():
+    for diameter, center, radius in ((40, (80.5, 81), 20), (80, (160, 160.5), 40)):
+        cfg, _, _ = r.config(h, diameter, "MRT", "fixed")
+        assert not cfg["method"]["ddf_shifting"] and not cfg["method"]["les"]["enabled"]
+        jets = r.public_jets(center, radius, "fixed")
+        assert [j.amplitude for j in jets] == [.001, -.001]
+        assert all(j.field.inward is False and j.profile == "parabolic" for j in jets)
+        assert all(j.region.r_max == radius * 1.005 for j in jets)
+        assert all(j.amplitude == 0 for j in r.public_jets(center, radius, "zero"))
+    cfg, _, _, host = r.host_geometry(r.DEFAULT_SOURCE, h, "MRT", "fixed")
+    assert not cfg.ddf_shifting and len(host.boundary_cells) > 0
+    assert r.public_jets((0, 0), 1, "none") == ()
+    with unittest.TestCase().assertRaises(ValueError):
+        r.config(h, 40, "SRT", "fixed")
+
+
+def test_public_jet_reversal_boundary_and_windows():
+    from types import SimpleNamespace
+
+    calls = []
+    handle = SimpleNamespace(set_jet_amplitude=lambda i, a: calls.append((i, a)))
+    for diameter in (40, 80):
+        boundary = round(250 * diameter / r.SPEED)
+        assert r.jet_interval(handle, "fixed", boundary - 3, 80, diameter) == (3, None)
+        switch = round(300 * diameter / r.SPEED)
+        assert r.jet_interval(handle, "reverse", switch - 3, 80, diameter) == (3, None)
+        assert not calls
+        n, event = r.jet_interval(handle, "reverse", switch, 80, diameter)
+        assert n == 80 and event["step"] == switch and event["tstar"] == 300
+        assert calls == [(0, -.001), (1, .001)]
+        calls.clear()
+        assert r.jet_interval(handle, "reverse", switch + 80, 80, diameter) == (80, None)
+        assert r.jet_interval(handle, "fixed", switch, 80, diameter) == (80, None)
+        assert not calls
+    rows = [dict(tstar=t, tstar_force=t - .5, cd=2.0, cl=-.1) for t in range(251, 306)]
+    windows = r.jet_diagnostics(rows, "reverse")
+    assert len(windows) == 6 and all(w["complete"] for w in windows)
+    assert all(w["cd"]["mean"] == 2 and np.isclose(w["cl"]["mean"], -.1) for w in windows)
+    assert windows[-1]["covered_tstar"] == 5
+    with unittest.TestCase().assertRaisesRegex(ValueError, "crosses"):
+        r.jet_diagnostics([dict(tstar=250.5, tstar_force=250, cd=1, cl=0)], "fixed")
+    assert r.plan(h, "MRT", "window", "reverse")["modes"]["full_tstar"] == 305
+
+
+def test_public_jet_source_and_pilot_separation():
+    from tempfile import TemporaryDirectory
+
+    with TemporaryDirectory() as tmp:
+        path = Path(tmp)
+        manifest = pilot_fixture(path, jet_scenario="fixed")
+        assert manifest["source_capture"].startswith("current checkout")
+        assert len(manifest["checkout_revision"]) == 40
+        assert r.verify_pilot(path, manifest, "MRT", "window", "fixed") == 3606.0
+        for scenario in ("none", "zero", "reverse"):
+            with unittest.TestCase().assertRaisesRegex(ValueError, "Jet scenario"):
+                r.verify_pilot(path, manifest, "MRT", "window", scenario)
+        for relative in ("uniform/summary.json", "refined/ready.json"):
+            receipt = path / relative
+            record = json.loads(receipt.read_text())
+            receipt.write_text(json.dumps(dict(record, jet_scenario="zero")))
+            with unittest.TestCase().assertRaises(ValueError):
+                r.verify_pilot(path, manifest, "MRT", "window", "fixed")
+            receipt.write_text(json.dumps(record))
+    with unittest.TestCase().assertRaises(ValueError):
+        r.verify_source(r.DEFAULT_SOURCE, "MRT", "last_base_step", "fixed")
+
+
+def test_cv_snapshot_common_units_and_window_endpoints():
+    records = []
+    for refined, shape, origin, diameter, impulse in (
+        (True, (240, 568), (38., 22.), 40, [4., -8.]),
+        (False, (330, 1761), (.25, .5), 80, [16., -32.]),
+        (False, (658, 3521), (.375, .75), 160, [64., -128.]),
+    ):
+        rho, ux, uy, fluid = np.ones(shape), np.full(shape, .01), np.zeros(shape), np.ones(shape, bool)
+        begin, n = round(290*diameter/r.SPEED), round(.02*diameter/r.SPEED)
+        record = r.cv_snapshot(rho, ux, uy, fluid, origin, refined, begin, n, diameter, impulse)
+        records.append(record)
+        np.testing.assert_allclose(record["outward_flux"], 0, atol=1e-12)
+        assert r.cv_selected(begin, diameter, "full") and not r.cv_selected(begin-n, diameter, "full")
+        end = round(300*diameter/r.SPEED)
+        assert r.cv_selected(end, diameter, "full") and not r.cv_selected(end+n, diameter, "full")
+        assert r.cv_selected(n, diameter, "pilot")
+        assert sum(r.cv_selected(step, diameter, "full") for step in range(begin-n, end+n+1, n)) == 501
+    for key in ("time_root", "interval_start_root", "interval_dt_root", "interval_impulse_root", "inventory"):
+        for record in records[1:]:
+            np.testing.assert_allclose(records[0][key], record[key], rtol=0, atol=1e-10)
+    assert records[0]["interval_dt_root"] == 80 and np.isclose(records[0]["tstar"], 290.02)
+    np.testing.assert_array_equal(records[0]["interval_impulse_root"], [4, -8])
+
+
+def test_cv_pilot_mode_and_helper_provenance():
+    from tempfile import TemporaryDirectory
+
+    manifest = r.verify_source(r.DEFAULT_SOURCE, "MRT", "window", "fixed", True)
+    assert "tests/validation/run_jet_circle_cv.py" in manifest["sha256"]
+    with TemporaryDirectory() as tmp:
+        path = Path(tmp)
+        old = pilot_fixture(path, jet_scenario="fixed")
+        with unittest.TestCase().assertRaisesRegex(ValueError, "CV observation mode"):
+            r.verify_pilot(path, old, "MRT", "window", "fixed", True)
+        for relative in ("plan.json", "uniform/summary.json", "refined/summary.json",
+                         "uniform/ready.json", "refined/ready.json"):
+            file = path / relative
+            record = json.loads(file.read_text())
+            record.update(observe_cv=True, cv_samples=250)
+            if relative == "plan.json":
+                record["source_manifest"] = manifest
+            file.write_text(json.dumps(record))
+        assert r.verify_pilot(path, manifest, "MRT", "window", "fixed", True) == 3606
+
+
+def test_compact_geometry_and_cv_stencils():
+    from CelerisLab.lbm.refinement import ACTIVE
+    from CelerisLab.lbm.descriptors import SOLID
+
+    _, pair, _, host = r.host_geometry(r.DEFAULT_SOURCE, h, "MRT", "fixed", "compact")
+    assert pair.fine_shape == (168, 168) and tuple(pair.fine_origin) == (46, 46)
+    fluid = (pair.fine_kind == ACTIVE) & ((host.flags.reshape(pair.fine_shape) & SOLID) == 0)
+    rho, ux, uy = np.ones(pair.fine_shape), np.full(pair.fine_shape, .01), np.zeros(pair.fine_shape)
+    record = r.cv_snapshot(rho, ux, uy, fluid, pair.fine_origin, True, 1160000, 80, 40, [1, 2], "compact")
+    np.testing.assert_allclose(record["outward_flux"], 0, atol=1e-12)
+    stencil = np.zeros(pair.fine_shape, bool)
+    for rect in r.cv_contours(True, 40, "compact"):
+        x0, y0, x1, y1 = np.rint((rect - np.tile(pair.fine_origin, 2))/.5).astype(int)
+        stencil[y0-2:y1+2, x0-2:x0+2] = stencil[y0-2:y1+2, x1-2:x1+2] = True
+        stencil[y0-2:y0+2, x0-2:x1+2] = stencil[y1-2:y1+2, x0-2:x1+2] = True
+    assert fluid[stencil].all() and not stencil.ravel()[host.transfer_fine_cells].any()
+
+
+def test_d160_config_and_single_case_receipts():
+    from tempfile import TemporaryDirectory
+    from unittest.mock import patch
+
+    cfg, _, p = r.config(h, 160, "MRT", "fixed")
+    assert (p["nx"], p["ny"], p["center"], p["radius"]) == (3521, 658, [320, 320.5], 80)
+    assert p["viscosity"] == .016 and p["mean_speed"] == .01 and not cfg["method"]["ddf_shifting"]
+    assert r.uniform_origin(160) == (.375, .75)
+    np.testing.assert_array_equal(r.cv_contours(False, 160), r.CV_CONTOURS + [.125, 0, .125, 0])
+    for scenario, expected_exit in (("fixed", 0), ("zero", 2)):
+        with TemporaryDirectory() as tmp:
+            path = Path(tmp)
+            manifest = pilot_fixture(path, jet_scenario=scenario, case_selection="uniform", uniform_diameter=160)
+            assert r.verify_pilot(path, manifest, "MRT", "window", scenario, False, "uniform", 160) == 1803
+            for selection, diameter, placement in (("both", 160, "wide"), ("uniform", 80, "wide"), ("uniform", 160, "compact")):
+                with unittest.TestCase().assertRaises(ValueError):
+                    r.verify_pilot(path, manifest, "MRT", "window", scenario, False, selection, diameter, placement)
+            # Synthetic dispatch/result check: no CUDA imports or execution.
+            output = path / "full"
+            argv = ["runner", "--collision", "MRT", "--exchange-window", "--jet-scenario", scenario,
+                    "--case", "uniform", "--uniform-diameter", "160", "--mode", "full",
+                    "--pilot-results", str(path), "--output", str(output), "--max-wall-seconds", "10", "--gpu-gates-approved"]
+            result = dict(case="uniform", healthy=True, periodic=scenario == "zero", jet_diagnostic_windows=[],
+                          status="driven_diagnostics_complete" if scenario == "fixed" else "periodic",
+                          reference_comparison=dict(reference_agreement=False))
+            with patch.object(sys, "argv", argv), patch.dict(r.os.environ, CUDA_VISIBLE_DEVICES="mock-no-gpu"), \
+                    patch.object(r, "run_case", return_value=result) as run:
+                assert r.main() == expected_exit and run.call_count == 1
+            comparison = json.loads((output / "comparison.json").read_text())
+            assert comparison["matched_case_pass"] is False and "refined_vs_uniform" not in comparison
+            assert comparison["status"].startswith("single_case_")
+
+
 if __name__ == "__main__":
    suite = unittest.TestSuite(
        unittest.FunctionTestCase(fn)
@@ -142,7 +142,7 @@ class FixedPatchTests(unittest.TestCase):
                FixedPatch2D.from_config(LBMConfig(nx=nx, ny=ny, viscosity=.1), bounds)

    def test_unsupported_backend_and_fine_relaxation_rejected(self):
-        for kwargs in ({"collision": "TRT"}, {"collision": "MRT"}, {"streaming": "esopull"},
+        for kwargs in ({"collision": "TRT"}, {"streaming": "esopull"},
                       {"les_enabled": True},
                       {"store_precision": "FP16S"}, {"lattice_model": "D3Q19"},
                       {"data_type": "FP64"}, {"omega_min": 1.0}):
@@ -0,0 +1,53 @@
+"""Host guards and source contract for MRT reuse in refined/blocked stepping (no CUDA)."""
+from pathlib import Path
+import unittest
+
+from CelerisLab.config import LBMConfig
+from CelerisLab.lbm.refinement import FixedPatch2D
+
+KERNELS = Path(__file__).resolve().parents[2] / "src/CelerisLab/lbm/kernels"
+BOUNDS = (8, 6, 16, 14)
+
+
+class RefinementMRTHost(unittest.TestCase):
+    def test_patch_accepts_implemented_models(self):
+        for collision in ("SRT", "MRT"):
+            with self.subTest(collision=collision):
+                FixedPatch2D.from_config(LBMConfig(nx=24, ny=20, viscosity=.1, collision=collision), BOUNDS)
+
+    def test_patch_rejects_unimplemented(self):
+        for options in (dict(collision="TRT"), dict(collision="MRT", les_enabled=True)):
+            with self.subTest(options=options), self.assertRaises(ValueError):
+                FixedPatch2D.from_config(LBMConfig(nx=24, ny=20, viscosity=.1, **options), BOUNDS)
+
+    def test_srt_statements_and_guards_preserved(self):
+        """MRT is an additive compile-time branch; SRT statements and other guards remain."""
+        blocks = (KERNELS / "blocks.cu").read_text() + (KERNELS / "step/block_step.cu").read_text()
+        channel = (KERNELS / "step/block_channel.cu").read_text()
+        block_collision = (KERNELS / "operators/block_collision.cuh").read_text()
+        self.assertIn('#include "operators/block_collision.cuh"', blocks)
+        self.assertEqual(blocks.count("block_collide(f);"), 1)
+        refinement = (KERNELS / "refinement.cu").read_text() + (KERNELS / "step/patch_step.cu").read_text()
+        for text in ("compute_feq_from_momentum(drho, jx, jy, ux, uy, feq);",
+                     "compute_feq(rho, ux, uy, feq);",
+                     "collide_srt_no_force(f, feq, d_params.omega);"):
+            self.assertIn(text, block_collision)
+        self.assertIn("collide_srt(f, feq, forcing, omega);", channel)
+        self.assertIn("collide_srt_no_force(f, feq, d_params.omega);", refinement)
+        for source in (blocks, refinement):
+            self.assertIn("(COLLISION_MODEL != 0 && COLLISION_MODEL != 2)", source)
+            self.assertIn("USE_LES", source)
+            self.assertIn("STORE_PRECISION != 0", source)
+            self.assertIn('#if COLLISION_MODEL == 2\n#include "operators/collision_mrt.cuh"\n#endif', source)
+        self.assertIn("USE_DDF_SHIFTING ||", refinement)  # dense/mixed shifted stays rejected
+        # One shared unforced MRT body; each blocked/patch path calls it exactly once.
+        mrt = (KERNELS / "operators/collision_mrt.cuh").read_text()
+        self.assertEqual(mrt.count("void collide_mrt_unforced("), 1)
+        for source in (blocks + "\n" + block_collision, channel, refinement):
+            self.assertEqual(source.count("collide_mrt_unforced(f);"), 1)
+            self.assertNotIn("collide_mrt_no_force(", source)
+            self.assertNotIn("compute_rho_u(f, rho, ux, uy);\n            collide_mrt", source)
+            self.assertNotRegex(source, r"compute_rho_u\(f, rho, ux, uy\);\s*collide_mrt")
+
+
+if __name__ == "__main__": unittest.main()
@@ -173,8 +173,10 @@ def bodies_and_jets(speed=.002):
    return bodies,jets


-KW=dict(base_block=(4,4),fine_block=(4,4),child_block=(4,4),
-        child_rectangles_in_parent=CHILDREN)
+def levels(parents=PARENTS,children=CHILDREN,blocks=((4,4),)*3,objects=((),(),()),jets=((),(),())):
+    """Level-list constructor keywords for the L0 set, L1 set and L2 set used here."""
+    return dict(refinements=[parents,children],level_blocks=list(blocks),
+                level_objects=list(objects),level_jets=list(jets))


 def mock_backend(*, children=CHILDREN, bodies=False, fail_compile=False, fail_upload=False):
@@ -201,9 +203,8 @@ def mock_backend(*, children=CHILDREN, bodies=False, fail_compile=False, fail_up
        module.cuda.memcpy_htod.side_effect=upload
    objects,jets=bodies_and_jets() if bodies else ((),())
    try:
-        run=module.FixedPatchStepper(CFG,PARENTS,context=context,
-            child_objects=objects,child_jets=jets,
-            **dict(KW,child_rectangles_in_parent=children))
+        run=module.FixedPatchStepper(CFG,context=context,
+            **levels(children=children,objects=((),(),objects),jets=((),(),jets)))
    except RuntimeError:
        for allocation in allocations:
            allocation.free.assert_called_once_with()
@@ -214,28 +215,29 @@ def mock_backend(*, children=CHILDREN, bodies=False, fail_compile=False, fail_up
 class ConstructorAndSchedule(unittest.TestCase):
    def test_invalid_inputs_fail_before_context_or_allocations(self):
        context=Mock()
-        cases=[dict(child=(8,8,16,16)),dict(child_rectangles_in_parent=[]),
-               dict(child_rectangles_in_parent=[(16,16,32)]),
-               dict(child_rectangles_in_parent=[(16.5,16,32,40)]),
-               dict(child_rectangles_in_parent=[(16,16,32,24),(16,27,32,55)]),
-               dict(child_rectangles_in_parent=[(40,16,48,40)]),
-               dict(child_rectangles_in_parent=[(8,16,32,40)]),
-               dict(child_block=None),dict(fine_block=None),dict(base_block=None),
-               dict(child_block=(5,4)),dict(fine_block=(5,4)),
-               dict(child_block=(4,)),dict(child_rectangles_in_parent=(16,16,32,40))]
+        b=(4,4)
+        cases=[dict(children=(8,8,16,16)),dict(children=[]),
+               dict(children=[(16,16,32)]),
+               dict(children=[(16.5,16,32,40)]),
+               dict(children=[(16,16,32,24),(16,27,32,55)]),
+               dict(children=[(40,16,48,40)]),
+               dict(children=[(8,16,32,40)]),
+               dict(blocks=(b,b,None)),dict(blocks=(b,None,b)),dict(blocks=(None,b,b)),
+               dict(blocks=(b,b,(5,4))),dict(blocks=(b,(5,4),b)),
+               dict(blocks=(b,b,(4,))),dict(children=(16,16,32,40))]
        for changes in cases:
            with self.subTest(changes=changes),self.assertRaises((ValueError,TypeError)):
-                host.FixedPatchStepper(CFG,PARENTS,context=context,**dict(KW,**changes))
+                host.FixedPatchStepper(CFG,context=context,**levels(**changes))
        with self.assertRaisesRegex(ValueError,'margin'):
-            host.FixedPatchStepper(CFG,[(1,4,20,28),(23,4,44,28)],context=context,**KW)
+            host.FixedPatchStepper(CFG,context=context,**levels(parents=[(1,4,20,28),(23,4,44,28)]))
        objects,jets=bodies_and_jets()
-        with self.assertRaisesRegex(ValueError,'only on L2'):
-            host.FixedPatchStepper(CFG,PARENTS,context=context,fine_objects=objects,**KW)
+        with self.assertRaisesRegex(ValueError,'only on the finest level'):
+            host.FixedPatchStepper(CFG,context=context,**levels(objects=((),objects,())))
        from CelerisLab.body.jets import Jet,Tube,Parallel
        spanning=Jet(Tube((10.5,14.),0.,25.,.3),Parallel(0.),amplitude=0.)
        with self.assertRaisesRegex(ValueError,'one jet'):
-            host.FixedPatchStepper(CFG,PARENTS,context=context,child_objects=objects,
-                                  child_jets=[spanning],**KW)
+            host.FixedPatchStepper(CFG,context=context,
+                                  **levels(objects=((),(),objects),jets=((),(),[spanning])))
        context.activate.assert_not_called()
        host.cuda.mem_alloc.assert_not_called()

@@ -313,21 +315,23 @@ class ConstructorAndSchedule(unittest.TestCase):



-class InitialLevels(unittest.TestCase):
-    """initialize() entry adapter: positional per-level arrays or the legacy names, never both."""
+class RemovedLegacyAPI(unittest.TestCase):
+    """The pre-level-list constructor/initialize forms are gone and fail loudly."""

-    def test_forms(self):
-        a, b, c = object(), object(), object()
-        f = host._initial_levels
-        self.assertEqual(f((a, b), None, None, None), (a, b))
-        self.assertEqual(f((a, b, c), None, None, None), (a, b, c))
-        self.assertEqual(f((a, b), None, None, c), (a, b, c))      # old initialize(c, f, child_g=g)
-        self.assertEqual(f((), a, b, None), (a, b))
-        self.assertEqual(f((), a, b, c), (a, b, c))
-        for args in (((a,), None, None, c), ((a, b, c), None, None, c), ((a,), a, b, None),
-                     ((), a, None, None), ((), None, b, c)):
-            with self.subTest(args=args), self.assertRaises(TypeError):
-                f(*args)
+    def test_removed_constructor_forms_raise_type_error(self):
+        import inspect
+        context = Mock()
+        with self.assertRaises(TypeError):  # positional bounds
+            host.FixedPatchStepper(CFG, PARENTS, context=context)
+        removed = dict(bounds=PARENTS, fine_block=(4, 4), base_block=(4, 4), fine_objects=(),
+                       jets=(), child=(8, 8, 16, 16), child_block=(4, 4), child_objects=(),
+                       child_jets=(), child_rectangles_in_parent=CHILDREN)
+        for name, value in removed.items():
+            with self.subTest(keyword=name), self.assertRaises(TypeError):
+                host.FixedPatchStepper(CFG, context=context, **levels(), **{name: value})
+        context.activate.assert_not_called()
+        self.assertEqual(list(inspect.signature(host.FixedPatchStepper.initialize).parameters),
+                         ["self", "level_g"])  # no coarse_g/fine_g/child_g


 if __name__=='__main__':
@@ -54,14 +54,13 @@ class ShiftedJets(unittest.TestCase):
                (Jet(Tube((10.,14.),0.,26.,.3),Parallel(0.)),))]
        for objects,jets in cases:
            with self.subTest(objects=len(objects),jets=len(jets)),self.assertRaises(ValueError):
-                module.FixedPatchStepper(CFG,backend.PARENTS,context=None,
-                    base_block=(4,4),fine_block=(4,4),child_block=(4,4),
-                    child_rectangles_in_parent=A,child_objects=objects,child_jets=jets)
+                module.FixedPatchStepper(CFG,context=None,refinements=[backend.PARENTS,A],
+                    level_blocks=[(4,4)]*3,level_objects=[(),(),objects],level_jets=[(),(),jets])
        for blocks in ((None,None,None),((4,4),None,(4,4))):
            with self.assertRaises(ValueError):
-                module.FixedPatchStepper(CFG,backend.PARENTS,context=None,
-                    base_block=blocks[0],fine_block=blocks[1],child_block=blocks[2],
-                    child_rectangles_in_parent=A,child_objects=(body(),),child_jets=(jet(),))
+                module.FixedPatchStepper(CFG,context=None,refinements=[backend.PARENTS,A],
+                    level_blocks=list(blocks),level_objects=[(),(),(body(),)],
+                    level_jets=[(),(),(jet(),)])
        module.cuda.mem_alloc.assert_not_called()
        module.compiler.compile_kernel.assert_not_called()

@@ -78,13 +78,15 @@ class ShiftedStorage(unittest.TestCase):

    def test_shifted_density_and_tag_validation(self):
        old,new = topology(A),topology(B)
-        a = tuple(np.where(m[None], np.float32(-.001), np.nan).repeat(9,axis=0) for m in old.leaf_masks)
+        a = tuple(np.where(m[None], np.float32(-.001), np.float32(np.nan)).repeat(9,axis=0)
+                  for m in old.leaf_masks)  # FP32 under NumPy 1 and 2 promotion rules
        remap(old,new,a)
        with self.assertRaisesRegex(ValueError,'representation'): remap(old,new,a,False)
        with self.assertRaisesRegex(ValueError,'FP32'): remap(old,new,tuple(x.astype(np.float64) for x in a))
        a[0][:,old.leaf_masks[0]] = -1
        with self.assertRaisesRegex(ValueError,'positive density'): remap(old,new,a)
-        rest = tuple(np.where(m[None],np.float32(0),np.nan).repeat(9,axis=0) for m in old.leaf_masks)
+        rest = tuple(np.where(m[None],np.float32(0),np.float32(np.nan)).repeat(9,axis=0)
+                     for m in old.leaf_masks)
        remap(old,new,rest)
        with self.assertRaisesRegex(ValueError,'positive density'):
            remap_synchronized(old,new,rest,base_count=7,level_steps=(7,14,28),phase='postcollision_g')
@@ -129,9 +131,10 @@ class ShiftedStorage(unittest.TestCase):
    def test_dense_or_mixed_shifted_rejected_before_compilation(self):
        module=backend.host_module()
        cfg=replace(backend.CFG,ddf_shifting=True)
-        for kwargs in ({},dict(base_block=(4,4)),dict(fine_block=(4,4))):
-            with self.assertRaisesRegex(ValueError,'all-blocked|base_block requires fine_block'):
-                module.FixedPatchStepper(cfg,(4,4,20,28),context=None,**kwargs)
+        for blocks in ([None,None],[(4,4),None],[None,(4,4)]):
+            with self.assertRaisesRegex(ValueError,'all-blocked|blocked refined levels below'):
+                module.FixedPatchStepper(cfg,context=None,refinements=[(4,4,20,28)],
+                                         level_blocks=blocks)
        module.compiler.compile_kernel.assert_not_called()

    def test_uniform_block_codec_and_raw_snapshot(self):
@@ -0,0 +1,99 @@
+"""Direct-current-header regression; historical candidate manifests stay frozen."""
+
+import importlib.util
+from pathlib import Path
+import shutil
+import sys
+from tempfile import TemporaryDirectory
+import unittest
+
+ROOT = Path(__file__).resolve().parents[2]
+HELPERS = ROOT / "tests/validation/les"
+sys.path.insert(0, str(HELPERS))
+spec = importlib.util.spec_from_file_location(
+    "smagorinsky_oracle", HELPERS / "test_candidate.py"
+)
+oracle = importlib.util.module_from_spec(spec)
+spec.loader.exec_module(oracle)
+HEADER = Path("src/CelerisLab/lbm/kernels/operators/turbulence_smag.cuh")
+DESCRIPTORS = Path("src/CelerisLab/lbm/kernels/core/descriptors.cuh")
+
+
+class SmagorinskyNormalization(unittest.TestCase):
+    def test_current_header_matches_independent_tensor_oracle(self):
+        with TemporaryDirectory() as directory:
+            build_dir = Path(directory)
+            for dim in (2, 3):
+                for cs in (0.0, 0.16):
+                    # Compile directly against this checkout, not saved candidate headers.
+                    closed = oracle.build(
+                        ROOT.parent, ROOT.name, dim, cs, 1, 3, build_dir
+                    )
+                    converged = oracle.build(
+                        ROOT.parent, ROOT.name, dim, cs, 0, 200, build_dir
+                    )
+                    for rho in (0.7, 1.0, 1.3):
+                        for tau0 in (0.56, 0.8):
+                            for kind, magnitude in (
+                                ("equilibrium", 0.0),
+                                ("shear", -0.02),
+                                ("shear", 0.02),
+                                ("extension", -0.02),
+                                ("extension", 0.02),
+                            ):
+                                stress = oracle.tensor(
+                                    dim, kind, magnitude * rho, 0, dim - 1
+                                )
+                                f, eq = oracle.state(dim, rho, stress)
+                                expected = 1 / oracle.standard_tau(
+                                    tau0, cs, oracle.norm(stress), rho
+                                )
+                                with self.subTest(
+                                    dim=dim,
+                                    cs=cs,
+                                    rho=rho,
+                                    tau=tau0,
+                                    kind=kind,
+                                    sign=magnitude,
+                                ):
+                                    self.assertAlmostEqual(
+                                        closed(f, eq, rho, tau0), expected, delta=3e-6
+                                    )
+                                    self.assertAlmostEqual(
+                                        converged(f, eq, rho, tau0),
+                                        expected,
+                                        delta=3e-6,
+                                    )
+                    if cs == 0:
+                        f, eq = oracle.state(
+                            dim, 1.0, oracle.tensor(dim, "equilibrium", 0.0)
+                        )
+                        self.assertAlmostEqual(
+                            closed(f, eq, 1.0, 0.50001), 1.99, delta=3e-6
+                        )
+                        self.assertAlmostEqual(
+                            closed(f, eq, 1.0, 200.0), 0.01, delta=3e-6
+                        )
+
+    def test_removing_sqrt_two_is_detected(self):
+        with TemporaryDirectory() as directory:
+            root = Path(directory)
+            for relative in (HEADER, DESCRIPTORS):
+                target = root / "old_convention" / relative
+                target.parent.mkdir(parents=True, exist_ok=True)
+                shutil.copyfile(ROOT / relative, target)
+            target = root / "old_convention" / HEADER
+            text = target.read_text()
+            factor = "18.0f * sqrtf(2.0f) * smag_const_sq"
+            self.assertEqual(text.count(factor), 2)
+            target.write_text(text.replace(factor, "18.0f * smag_const_sq"))
+            for dim in (2, 3):
+                old = oracle.build(root, "old_convention", dim, 0.16, 1, 3, root)
+                stress = oracle.tensor(dim, "shear", 0.02)
+                f, eq = oracle.state(dim, 1.0, stress)
+                expected = 1 / oracle.standard_tau(0.8, 0.16, oracle.norm(stress), 1.0)
+                self.assertGreater(abs(old(f, eq, 1.0, 0.8) - expected), 1e-3)
+
+
+if __name__ == "__main__":
+    unittest.main()
@@ -238,6 +238,81 @@ def test_overlapping_force_regions_rejected(device):
        bodies.build_compact_lists(bodies.build_flags(field.flag))


+@pytest.mark.parametrize("second_x,error", [(14., "unique cut-link writers"),
+                                           (17., "active fluid receivers")])
+def test_passive_overlap_rejected_before_publishing_lists(second_x, error):
+    cfg = LBMConfig(nx=32, ny=24)
+    cfg.validate()
+    bodies = ObjectManager(cfg.nx, cfg.ny, cfg.nz, cfg.nq, cfg)
+    for x in (14., second_x):
+        bodies.add(obj(x=x, y=12., r=4.3))
+    bodies.add(obj(x=4., y=4., r=2., is_sensor=True))
+    counts = np.full(bodies.count, 91, np.int32)
+    hits = []
+    flags = bodies.build_flags(np.full(cfg.nx * cfg.ny, FLUID, np.uint16))
+    for domain_flags in (flags, None):
+        with pytest.raises(ValueError, match=error):
+            bodies.build_compact_lists_for(bodies.objects, domain_flags,
+                                          sensor_cell_counts_out=counts, hits_out=hits)
+        np.testing.assert_array_equal(counts, 91)
+        assert hits == []
+
+
+@pytest.mark.parametrize("centers", [((10., 12.), (22., 12.)),
+                                    ((10.5, 12.), (19.5, 12.))])
+def test_separated_passive_bodies_keep_valid_writers(centers):
+    # The second case has a subcell physical gap with a resolved fluid column.
+    cfg = LBMConfig(nx=32, ny=24)
+    cfg.validate()
+    bodies = ObjectManager(cfg.nx, cfg.ny, cfg.nz, cfg.nq, cfg)
+    for x, y in centers:
+        bodies.add(obj(x=x, y=y, r=4.3))
+    flags = bodies.build_flags(np.full(cfg.nx * cfg.ny, FLUID, np.uint16))
+    indices, directions, _, ids, *_ = bodies.build_compact_lists(flags)
+    assert set(ids) == {0, 1}
+    assert np.all(flags[indices] & FLUID) and not np.any(flags[indices] & SOLID)
+    assert len(np.unique(indices.astype(np.uint64) * cfg.nq + directions)) == len(indices)
+
+
+@pytest.mark.parametrize("entry", ["sync", "initialize", "runtime_edit"])
+@pytest.mark.parametrize("second_x", [5., 6.])
+def test_passive_overlap_failure_keeps_live_state(device, entry, second_x):
+    from CelerisLab.simulation import Simulation
+    field = make_field(device)
+    bodies = manager(field, [obj(), obj(x=9., y=3., r=1., is_sensor=True)])
+    bodies.sync_to_gpu(field)
+    overlapping = obj(x=second_x)
+    if entry == "runtime_edit":
+        bodies.stage_add(overlapping)
+    else:
+        bodies.add(overlapping)
+    objects = bodies.objects
+    flags, curved, counts = field.flag.copy(), field.curved.fluid_idx.copy(), bodies.sensor_cell_counts.copy()
+    action = bodies.action.copy()
+    buffers = [(block, bytes(block.data), block.freed) for block in device.blocks]
+    writes = device.writes
+    sim = SimpleNamespace(bodies=bodies, field=field, lbm_cfg=field.cfg,
+                          _initialized=entry == "runtime_edit",
+                          _assert_allocation_contract=lambda: None,
+                          stream=SimpleNamespace(synchronize=device.synchronize))
+    with pytest.raises(ValueError, match="active fluid receivers|unique cut-link writers"):
+        if entry == "sync":
+            bodies.sync_to_gpu(field)
+        elif entry == "initialize":
+            Simulation.initialize(sim)
+        else:
+            Simulation.sync_bodies(sim)
+    assert bodies.objects == objects
+    assert bodies.has_pending_edit() == (entry == "runtime_edit")
+    assert sim._initialized == (entry == "runtime_edit")
+    assert device.writes == writes and len(device.blocks) == len(buffers)
+    assert all(bytes(block.data) == data and block.freed == freed for block, data, freed in buffers)
+    np.testing.assert_array_equal(field.flag, flags)
+    np.testing.assert_array_equal(field.curved.fluid_idx, curved)
+    np.testing.assert_array_equal(bodies.sensor_cell_counts, counts)
+    np.testing.assert_array_equal(bodies.action, action)
+
+
 def test_action_upload_and_scratch_are_pinned(device):
    field = make_field(device, streaming="esopull")
    bodies = manager(field, [obj(is_force_region=True)])
@@ -0,0 +1,170 @@
+"""Host contract of FixedPatchStepper.step(n): one stream wait per call (mocked driver).
+
+All n base intervals are enqueued in order on the backend stream and the host
+waits once before step returns. Launch order and buffer arguments must equal n
+step(1) calls; completion metadata, raw-exchange and window ledgers, and failure
+invalidation are published only after that wait.
+"""
+from contextlib import nullcontext
+from unittest.mock import Mock
+import unittest
+
+import numpy as np
+
+from CelerisLab.config import LBMConfig
+from tests.unit.test_raw_exchange import body
+from tests.unit.test_refinement_three_level_multipatch import host_module
+
+BODY_LEVEL, HOPS = 3, 8  # body on L3: 2**3 hops per base interval
+
+
+def backend(window=False):
+    """Four-level host backend; every launch, memset and stream wait goes to one log."""
+    host = host_module()
+    log, allocations = [], []
+
+    def allocate(size):
+        allocations.append(Mock(size=size))
+        return allocations[-1]
+
+    module = Mock()
+    module.get_global.return_value = (Mock(), 20)
+    module.get_function.side_effect = lambda name: Mock(
+        side_effect=lambda *a, **k: log.append((name, a, k)))
+    host.compiler.load_module.return_value = module
+    host.cuda.mem_alloc.side_effect = allocate
+    host.cuda.memcpy_dtoh.side_effect = lambda array, pointer: array.fill(0)
+    host.cuda.memset_d8_async.side_effect = lambda *a: log.append(("memset", a, {}))
+    run = host.FixedPatchStepper(
+        LBMConfig(nx=48, ny=48, viscosity=.02), context=Mock(activate=nullcontext, sm_arch="sm_70"),
+        refinements=[[(6, 6, 26, 26)], [(20, 20, 44, 44)], [(56, 56, 72, 72)]],
+        level_blocks=[(4, 4)] * 4, level_objects=[(), (), (), (body(),)],
+        observe_raw_exchange=True, observe_window_exchange=window)
+    run._stream.synchronize.side_effect = lambda: log.append(("sync", (), {}))
+    run.initialize(*[np.full(level.shape, 1 / 9, np.float32) for level in run._levels])
+    log.clear()
+    return run, log, allocations
+
+
+def signature(log, allocations):
+    """Event names with device-pointer arguments replaced by allocation index."""
+    index = {id(a): i for i, a in enumerate(allocations)}
+    return [(name, tuple(index.get(id(a), "-") for a in args)) for name, args, _ in log]
+
+
+def names(log):
+    return [name for name, _, _ in log]
+
+
+class StepSync(unittest.TestCase):
+    def test_step1_waits_once_after_all_launches(self):
+        run, log, _ = backend()
+        run.step(1)
+        self.assertEqual(names(log).count("sync"), 1)
+        self.assertEqual(names(log)[-1], "sync")
+        self.assertEqual(names(log)[0], "memset")
+        self.assertEqual(names(log).count("BlockStep"), 1 + 2 + 4 + 8)
+        self.assertEqual(run.step_count, 1)
+        run.close()
+
+    def test_step_n_equals_n_step1_launches_with_one_wait(self):
+        single, single_log, single_alloc = backend()
+        for _ in range(3):
+            single.step(1)
+        batched, batched_log, batched_alloc = backend()
+        batched.step(3)
+        expected = [e for e in signature(single_log, single_alloc) if e[0] != "sync"]
+        got = signature(batched_log, batched_alloc)
+        self.assertEqual(got[-1][0], "sync")
+        self.assertEqual(names(batched_log).count("sync"), 1)
+        self.assertEqual(got[:-1], expected)  # same order, same ping-pong buffers
+        self.assertEqual(names(batched_log).count("memset"), 3)
+        self.assertEqual(batched.step_count, single.step_count)
+        index = [{id(a): i for i, a in enumerate(alloc)} for alloc in (single_alloc, batched_alloc)]
+        self.assertEqual(index[1][id(batched._levels[0].current)],
+                         index[0][id(single._levels[0].current)])
+        single.close()
+        batched.close()
+
+    def test_step0_launches_and_waits_for_nothing(self):
+        run, log, _ = backend()
+        run.step(2)
+        log.clear()
+        run.step(0)
+        self.assertEqual(log, [])
+        self.assertEqual(run.step_count, 2)
+        value = run.read_raw_exchange(0, level=BODY_LEVEL)  # step(0) keeps the ledger valid
+        self.assertEqual((value["time_start"], value["time_end"]), (1, 2))
+        run.close()
+
+    def test_completion_metadata_covers_all_intervals(self):
+        run, _, _ = backend()
+        with self.assertRaisesRegex(RuntimeError, "completed"):
+            run.read_raw_exchange(0, level=BODY_LEVEL)
+        run.step(3)
+        value = run.read_raw_exchange(0, level=BODY_LEVEL)
+        self.assertEqual((value["time_start"], value["time_end"], value["sample_count"]),
+                         (2, 3, HOPS))  # step(n) retains only the final base interval
+        run.step(2)
+        self.assertEqual(run.read_raw_exchange(0, level=BODY_LEVEL)["time_end"], 5)
+        run.close()
+
+    def test_window_accounting_across_batched_calls(self):
+        windows = []
+        for calls in ((1, 3), (4,), (1, 1, 1, 1)):
+            run, log, _ = backend(window=True)
+            run.step(1)
+            run.start_exchange_window()
+            log.clear()
+            for n in calls:
+                run.step(n)
+            self.assertEqual(names(log).count("BlockAccumulateExchange"), 2 * 4 * HOPS)
+            self.assertEqual(names(log).count("sync"), len(calls))
+            out = run.read_exchange_window(0, level=BODY_LEVEL)
+            windows.append((out["time_start"], out["time_end"], out["sample_count"]))
+            run.close()
+        self.assertEqual(windows, [(1., 5, 4 * HOPS)] * 3)
+
+    def test_failed_wait_publishes_nothing(self):
+        run, _, _ = backend(window=True)
+        run.step(2)
+        run.start_exchange_window()
+        run._stream.synchronize.side_effect = RuntimeError("device failure")
+        with self.assertRaisesRegex(RuntimeError, "device failure"):
+            run.step(3)
+        self.assertEqual(run.step_count, 2)  # value at entry to the failing call
+        self.assertFalse(run._exchange_valid)
+        self.assertFalse(run._window_valid)
+        for read in (lambda: run.read_raw_exchange(0, level=BODY_LEVEL),
+                     lambda: run.read_exchange_window(0, level=BODY_LEVEL), run.download,
+                     lambda: run.step(1)):
+            with self.assertRaisesRegex(RuntimeError, "failed"):
+                read()
+        run._stream.synchronize.side_effect = None
+        run.close()
+
+    def test_launch_error_mid_batch_skips_wait_and_fails(self):
+        run, log, _ = backend()
+        run.step(1)
+        log.clear()
+        hop, calls = run._hop, []
+
+        def failing(index, *args, **kw):
+            if index == 0:
+                calls.append(1)
+                if len(calls) == 2:
+                    raise RuntimeError("launch failure")
+            return hop(index, *args, **kw)
+        run._hop = failing
+        with self.assertRaisesRegex(RuntimeError, "launch failure"):
+            run.step(3)
+        self.assertNotIn("sync", names(log))
+        self.assertEqual(run.step_count, 1)
+        self.assertFalse(run._exchange_valid)
+        with self.assertRaisesRegex(RuntimeError, "failed"):
+            run.read_raw_exchange(0, level=BODY_LEVEL)
+        run.close()
+
+
+if __name__ == "__main__":
+    unittest.main()
@@ -0,0 +1,86 @@
+"""CPU contract of the measurement-only refined DFG timing harness (no CUDA)."""
+from pathlib import Path
+import sys
+import unittest
+
+import numpy as np
+
+sys.path.insert(0, str(Path(__file__).resolve().parents[1] / "validation"))
+import time_refined_dfg as t  # noqa: E402
+
+
+class TimingHarnessContract(unittest.TestCase):
+    def test_equal_simulated_duration(self):
+        s = t.schedule(2000, 200)
+        self.assertEqual(s["refined"], (200, 2000))
+        self.assertEqual(s["uniform"], (400, 4000))  # one refined base step = two D80 steps
+        self.assertAlmostEqual(s["tstar_window"], 2000 * .01 / 40)
+        for bad in ((0, 1), (1, -1)):
+            with self.assertRaises(ValueError):
+                t.schedule(*bad)
+
+    def test_timing_only_labels(self):
+        for name in ("B", "C", "E'"):
+            self.assertFalse(t.VARIANTS[name]["force_history_valid"])
+            self.assertTrue(t.VARIANTS[name]["timing_only"])
+        for name in ("A", "E"):
+            self.assertFalse(t.VARIANTS[name]["force_history_valid"])  # reads discarded
+            self.assertTrue(t.VARIANTS[name]["force_reads"])
+            self.assertIn("runner-like", t.VARIANTS[name]["force_note"])
+        self.assertEqual({v["case"] for v in t.VARIANTS.values()}, {"refined", "uniform"})
+        self.assertIn("final base interval", t.VARIANTS["C"]["force_note"])
+        self.assertIn("whole-window", t.VARIANTS["E'"]["force_note"])
+
+    def test_deadline(self):
+        import time
+        with self.assertRaises(TimeoutError):
+            t.check_deadline(time.monotonic() - 1)
+        t.check_deadline(time.monotonic() + 60)
+
+    def test_parity_detects_bits_and_nan_masks(self):
+        a = np.array([[1., np.nan], [2., 3.]], np.float32)
+        self.assertIsNone(t.same_state([a], [a.copy()]))
+        b = a.copy(); b[1, 1] = np.nextafter(np.float32(3), np.float32(4))
+        self.assertIn("bits", t.same_state([a], [b]))
+        c = a.copy(); c[0, 0] = np.nan
+        self.assertIn("NaN", t.same_state([a], [c]))
+        self.assertIn("level count", t.same_state([a], [a, a]))
+        inf = a.copy(); inf[1, 0] = np.inf
+        self.assertIn("infinite", t.same_state([inf], [inf.copy()]))  # matching inf still fails
+        self.assertIn("infinite", t.same_state([a], [inf]))
+
+    def test_flat_uniform_ddf(self):
+        fluid = np.array([[True, False, True], [True, True, False]])
+        flat = np.ones(9 * fluid.size, np.float32)  # Simulation.get_ddf() layout
+        self.assertTrue(t.uniform_populations_finite(flat, fluid))
+        flat[1 * fluid.size + 1] = np.nan  # q=1, solid cell 1: ignored
+        self.assertTrue(t.uniform_populations_finite(flat, fluid))
+        flat[4 * fluid.size + 0] = np.nan  # q=4, fluid cell 0: detected
+        self.assertFalse(t.uniform_populations_finite(flat, fluid))
+        self.assertTrue(t.uniform_populations_finite(np.ones((9,) + fluid.shape), fluid))
+        with self.assertRaises(RuntimeError):
+            t.uniform_populations_finite(np.ones(9 * fluid.size + 1), fluid)
+
+    def test_physical_health_limits(self):
+        ok = (np.array([1., 1.01]), np.array([.01, .02]), np.array([0., .01]))
+        health = t.physical_health([ok])
+        self.assertAlmostEqual(health["rho_max"], 1.01)
+        for bad in ((np.array([1., np.nan]),) + ok[1:],
+                    (np.array([.4, 1.]),) + ok[1:],
+                    (ok[0], np.array([.2, 0.]), ok[2]),
+                    (np.array([]), np.array([]), np.array([]))):
+            with self.assertRaises(RuntimeError):
+                t.physical_health([bad])
+
+    def test_summary_reports_differences_without_claims(self):
+        rows = [dict(variant=v, seconds=s) for v, s in
+                (("A", 3.), ("A", 5.), ("B", 2.), ("C", 1.), ("E", 2.), ("E'", 1.5))]
+        s = t.summarize(rows, .5)
+        self.assertEqual(s["A"]["median_seconds"], 4.)
+        self.assertEqual(s["A_minus_B_seconds"], 2.)
+        self.assertEqual(s["B_minus_C_seconds"], 1.)
+        self.assertEqual(s["A_over_E"], 2.)
+        self.assertIn("not exact causal", s["interpretation"])
+
+
+if __name__ == "__main__": unittest.main()
@@ -0,0 +1,38 @@
+"""CPU contract of the A-versus-window timing harness (no CUDA)."""
+from pathlib import Path
+import sys
+import unittest
+
+import numpy as np
+
+sys.path.insert(0, str(Path(__file__).resolve().parents[1] / "validation"))
+import time_window_dfg as w  # noqa: E402
+
+
+class WindowTimingContract(unittest.TestCase):
+    def test_interval_and_variants(self):
+        self.assertEqual(w.INTERVAL, 80)
+        self.assertEqual(w.VARIANTS, ("A", "W", "W1"))
+
+    def test_components(self):
+        obs = dict(total=dict(impulse=np.array([1., 2.]), angular_impulse=3., mass_into_fluid=4.))
+        np.testing.assert_array_equal(w.components(obs), [1., 2., 3., 4.])
+
+    def test_interval_comparison(self):
+        ref = np.array([[1., -1., 0., 0.]])
+        scale = np.array([[10., 10., 1., 1.]])
+        self.assertEqual(w.compare_intervals(ref, scale, ref.copy()), 0.)
+        near = ref + np.array([[5e-9, 0., 0., 0.]])
+        self.assertLessEqual(w.compare_intervals(ref, scale, near), 1.)
+        far = ref + np.array([[1e-7, 0., 0., 0.]])
+        self.assertGreater(w.compare_intervals(ref, scale, far), 1.)
+        zero = np.zeros((1, 4))
+        self.assertGreater(w.compare_intervals(zero, zero, zero + 1e-12), 1.)  # floor, no div-by-0
+
+    def test_candidate_identity_records_files(self):
+        identity = w.candidate_identity(Path(__file__).resolve().parents[2])
+        self.assertIn("checkout_revision", identity)
+        self.assertEqual(set(identity["sha256"]), set(w.CANDIDATE_FILES))
+
+
+if __name__ == "__main__": unittest.main()
@@ -12,13 +12,15 @@ from source_provenance import checkout_provenance
 import re100_helpers
 import run_jet_circle_cv

+sys.path.insert(0, str(ROOT / "tests/unit"))
+from historical_tree import historical_tree, tracked
+
 ORIGIN = "47b05bc8abfc957fe876b0c63bdb386e3c6cbaa5"


-def test_manifests_cover_current_source_and_preserve_origin():
-    names = subprocess.check_output(
-        ["git", "-C", str(ROOT), "ls-files", "src"], text=True
-    ).splitlines()
+def test_manifests_cover_current_source_and_preserve_origin(tmp_path):
+    assert re100_helpers.PIN == run_jet_circle_cv.PIN == ORIGIN
+    manifests = {}
    for group, hashes_key, revision_key in (
        ("dfg_re100", "production_sha256", "commit"),
        ("jet_circle_cv", "files", "revision"),
@@ -29,18 +31,22 @@ def test_manifests_cover_current_source_and_preserve_origin():
            ).read_text()
        )
        assert manifest[revision_key] == ORIGIN
-        assert set(manifest[hashes_key]) == set(names)
        assert manifest["source_origin_commits"][-1] == ORIGIN
        assert (
            manifest["historical_checkpoints"]["production"]
            == "d79e3f6f0a424f5bcc3a1a6d610313e49daf97a2"
        )
        assert "not inherited from d79" in manifest["experiment"]
-        for name, expected in manifest[hashes_key].items():
+        manifests[group] = manifest[hashes_key]
+    # History-dependent checks last, so a missing commit masks nothing above.
+    names = tracked(ORIGIN)
+    origin = historical_tree(ORIGIN, tmp_path)
+    for group, hashes in manifests.items():
+        assert set(hashes) == set(names), group
+        for name, expected in hashes.items():
            assert (
-                hashlib.sha256((ROOT / name).read_bytes()).hexdigest() == expected
+                hashlib.sha256((origin / name).read_bytes()).hexdigest() == expected
            ), name
-    assert re100_helpers.PIN == run_jet_circle_cv.PIN == ORIGIN


 def test_runtime_checkout_identity_is_separate_from_source_origin(tmp_path):
@@ -32,7 +32,7 @@ def analyze(directory):
    t = a["t_reference"]
    if not len(t) or t[0] != 0 or np.any(np.diff(t) <= 0):
        raise ValueError("Sample reference times must increase strictly from zero")
-    from jet_cv_measurements import sample_steps, old_sample_steps
+    from jet_cv_measurements import sample_steps

    complete_schedule = np.array_equal(t, sample_steps(c) / s**2)
    records = []
@@ -45,15 +45,7 @@ def analyze(directory):
    )  # angular impulse reference = root/s^2 (not used in force tests)
    q0 = 2 * np.pi / 12 * (c["diameter"] / 2) * c["jet_speed"]
    f0 = 0.5 * (c["u"] * s) ** 2 * (c["diameter"] / s)
-    dense_root = c.get("dense_root", False)
-    old_times = old_sample_steps(c) / s**2
-    ray_indices = (
-        a["ray_sample_indices"] if "ray_sample_indices" in a else np.arange(len(t))
-    )
-    ray_times = t[ray_indices]
-    if dense_root and complete_schedule and not np.array_equal(ray_times, old_times):
-        raise ValueError("Sparse ray records do not match the declared old cadence")
-    for lo in range(0, c.get("steps", 3200 * s * s) // (s * s), 100):
+    for lo in range(0, 3200, 100):
        hi = lo + 100
        ids = np.flatnonzero((t >= lo) & (t <= hi))
        if len(ids) < 2 or t[ids[0]] != lo or t[ids[-1]] != hi:
@@ -62,14 +54,8 @@ def analyze(directory):
        delta = inv[last] - inv[first]
        ledger = raw[last] - raw[first]
        cv_variants = []
-        selections = [np.unique(np.r_[ids[::stride], ids[-1]]) for stride in (1, 2, 4)]
-        if dense_root:
-            selections.append(ids[np.isin(t[ids], old_times)])
-        for selected in selections:
-            if t[selected[0]] != lo or t[selected[-1]] != hi:
-                raise ValueError(
-                    "Every quadrature selection must retain both window endpoints"
-                )
+        for stride in (1, 2, 4):
+            selected = np.unique(np.r_[ids[::stride], ids[-1]])
            total = integrate(t[selected], flux[selected])
            m = delta[:, :, 0] + total[:, :, 0]
            j = -delta[:, :, 1:] - total[:, :, 1:]
@@ -82,61 +68,16 @@ def analyze(directory):
                    axis=-1,
                )
            )
-        ray_ids = np.flatnonzero((ray_times >= lo) & (ray_times <= hi))
        arc = (
-            integrate(ray_times[ray_ids], a["arc_estimates"][ray_ids]) / 100
+            integrate(t[ids], a["arc_estimates"][ids]) / 100
        )  # Q/M rate conversion is unity
        # Each estimator, aperture, Q/M; compare against signed prescribed Q (rho_ref=1 for M only).
        arc_ratio = arc / np.array([q0, -q0])[None, None, :, None]
        global_delta = (
            a["global_mass_reference"][last] - a["global_mass_reference"][first]
        )
-        dense_details = {}
-        if dense_root:
-            absolute = (
-                a["raw_absolute_aperture_mass_cumulative"][last]
-                - a["raw_absolute_aperture_mass_cumulative"][first]
-            ) / s**2
-            stock_raw = np.diff(a["global_mass_reference"][ids], axis=0) - np.diff(
-                raw[ids, :, 2, 3], axis=0
-            )
-            partition = ledger[:, 2] - ledger[:, 0] - ledger[:, 1]
-            dense_details = dict(
-                quadrature_names=[
-                    "root_stride1",
-                    "root_stride2",
-                    "root_stride4",
-                    "exact_old_cadence",
-                ],
-                root_dt_reference=1 / s**2,
-                old_cadence_change_from_dense=(
-                    cv_variants[3] - cv_variants[0]
-                ).tolist(),
-                root_temporal_sensitivity_max=float(
-                    np.max(abs(np.array(cv_variants)[1:3] - cv_variants[0]))
-                ),
-                raw_absolute_aperture_net_interval_mass_reference=absolute.tolist(),
-                prescribed_unsigned_nominal_mass_reference=float(2 * q0 * 100),
-                legacy_raw_gross_field_definition="raw_gross_mass_over_nominal retains abs(window net blowing)+abs(window net suction), divided by ONE nominal aperture throughput; it is not root-interval absolute throughput.",
-                raw_absolute_to_prescribed_unsigned_nominal=(
-                    absolute / (2 * q0 * 100)
-                ).tolist(),
-                global_stock_raw_balance_max_abs_root_interval_reference=np.max(
-                    abs(stock_raw), axis=0
-                ).tolist(),
-                global_stock_raw_balance_sum_reference=stock_raw.sum(axis=0).tolist(),
-                raw_total_minus_wall_aperture_reference=partition.tolist(),
-                raw_aperture_minus_blowing_suction_reference=(
-                    ledger[:, 1] - ledger[:, 3] - ledger[:, 4]
-                ).tolist(),
-                measured_ray_absolute_volume_mass_reference=integrate(
-                    ray_times[ray_ids], a["arc_absolute_estimates"][ray_ids]
-                ).tolist(),
-                measured_ray_cadence="Sparse old cadence; estimator-dependent, not dense-root or exact wall throughput",
-            )
        records.append(
            dict(
-                **dense_details,
                t_reference=[lo, hi],
                startup=hi <= 800,
                normalized_cv_residual=np.array(cv_variants).tolist(),
@@ -156,12 +97,6 @@ def analyze(directory):
        )
    return dict(
        scale=s,
-        dense_root=dense_root,
-        previous_temporal_failure_retained=(
-            "Prior continuation stride2 changes exceeded baseline residual in all48 audited comparisons; this diagnostic does not retroactively change those gates."
-            if dense_root
-            else None
-        ),
        complete_schedule=bool(complete_schedule),
        sample_checksum_verified=checksum_verified,
        windows=records,
@@ -187,10 +122,8 @@ def main():
        results=results,
        physics_validation_pass=False,
    )
-    if (
-        not any(x.get("dense_root", False) for x in results)
-        and sorted(x["scale"] for x in results) == [1, 2]
-        and all(x["complete_schedule"] for x in results)
+    if sorted(x["scale"] for x in results) == [1, 2] and all(
+        x["complete_schedule"] for x in results
    ):
        ordered = sorted(results, key=lambda x: x["scale"])
        summary = []
@@ -0,0 +1,110 @@
+{
+  "base_commit": "a135252ae78b47b57d7e77d19001700b3bedac8b",
+  "production_origin_commit": "a135252ae78b47b57d7e77d19001700b3bedac8b",
+  "source_experiment": "Explicit a135252 uniform SRT LES regression. Sources pin the committed corrected tree; baseline is a synthetic isolated reverse-header control, not the committed a135252 source. Historical profiles and receipts remain unchanged.",
+  "sources": {
+    "src/CelerisLab/__init__.py": "21cc469bd6e970a1f9ff5970c8eea4602065e41fc881854759ee565ee55c10c6",
+    "src/CelerisLab/body/__init__.py": "e4e0e8f0769a94428d5b02fac790443997556cfc5515a5f1ed1595d2c694d69d",
+    "src/CelerisLab/body/action_smoother.py": "b1a23ee6bbd4850b172cb8738c5c3546ee465a54189e6af9d8044f023d4687dc",
+    "src/CelerisLab/body/coupling/__init__.py": "c931f7eb318d48408c3e2febcc6917c88c8dcc1697cbf4329b1f340d94c35763",
+    "src/CelerisLab/body/coupling/soa_packer.py": "8ec26fd55ef74801bbd5ab6bd3d0a7dabc750cbd498aaac2ca4c61a0108ad3c9",
+    "src/CelerisLab/body/ddf_patch.py": "60fcfb7441e73bf290bcff41ca3a83da3e7ddad765d7247464e8f02e3043b4e2",
+    "src/CelerisLab/body/geometry/__init__.py": "ada88980ab672959aca9aa3a4c4aade3219524b2ab68110cd2a2f41e3e0ca90a",
+    "src/CelerisLab/body/geometry/base.py": "cceca14361ca2f34d34a3e43730e1a79b8ca81be00f0dd62e884db32b479419f",
+    "src/CelerisLab/body/geometry/circle.py": "7605ca7c21103f1d801ac73ab8dd18dffbdac425b2dee7b8858b283628a9e436",
+    "src/CelerisLab/body/jets.py": "4104c24af4651f4bb4f8d8fd36fb6d88f41c6e4469822f36e22e74c9ede31dac",
+    "src/CelerisLab/body/manager.py": "01b653d25bd9b4333379c8bfd12383596b686d2029f2e91b1c91b618540ec6b3",
+    "src/CelerisLab/body/objects.py": "8e63cee8faa9cc6243bcff428be628dfad73a02a9a3b8ece7d78c0a63406a08d",
+    "src/CelerisLab/body/preprocess/__init__.py": "dfd9d58bc07f626ab23a70053e31b88a6d9165d2e4c76a4e9f48abe674d3d2ec",
+    "src/CelerisLab/body/preprocess/flag_overlay.py": "831fc9e9736b758847759a085ff133eb49ec91318ace4fda76f85960138ee300",
+    "src/CelerisLab/body/registry.py": "fbb7327780adbdc6da15ebdb799980daf32df22ee974af0893d7409f177bbb68",
+    "src/CelerisLab/body/sync_plan.py": "3a15bfe9ebeb91482dbfc68850761ef39c872cc12d2efc795babd0c01e392323",
+    "src/CelerisLab/common/__init__.py": "d4dbde78bc97fccc9eabac9abae8f0f15c112c10ff8e9b45bd9401d4723df1ef",
+    "src/CelerisLab/common/_types.py": "aad2ff1a9033d4fd68783ad7123afb47201ddc58785cb6dc0246947037072a5f",
+    "src/CelerisLab/common/checkpoint.py": "b2f960aecd5ac27a3a7130b809ffad4709c44d522edef0359ab952654625410b",
+    "src/CelerisLab/common/pathline.py": "a1b6efcc0a076d0f1dc8d49a595779426d7d5626b00072a59bac710ff02ad046",
+    "src/CelerisLab/common/preprocess.py": "7fc78a08857cf8e98519500b094a1d896af189b6b15658ff9b388ed51bed4515",
+    "src/CelerisLab/common/render.py": "0e055476257eb2bcd11e733766e52195de02f8fad228f570a3511a7c831bdc29",
+    "src/CelerisLab/common/streakline/__init__.py": "13ff1cfa416fdd721a08a659e76b5a5a99b8d3201add10a83b7b0bc654bc1eec",
+    "src/CelerisLab/common/streakline/_config.py": "a9185ef68e9c7b5d5a1dc0b04a28341e2ad91d13c145a7c106636a878cf0a605",
+    "src/CelerisLab/common/streakline/_integrate.py": "3fbd4368b2c8d0e7fda40dc65aac5df02b085008b4c68acd83cb7ae45d33a13b",
+    "src/CelerisLab/common/streakline/_render.py": "236cd637414ee318c4d66f9aed32110d8dc42a100d65fde06172f7cd0ba62c65",
+    "src/CelerisLab/common/streakline/_streakline.py": "1a3e08daa706b5f83cdeb337e9a945a36ddf7583c40af1d0bb9d825ac954df37",
+    "src/CelerisLab/config.py": "2f1bba7515f5bc08cb3a8d140bcafe7fa0689e01b3b06494697bb2956a71530e",
+    "src/CelerisLab/configs/CONFIG.md": "41cafdbe525366c08aa9d0416ea026ccf0026ba7123b8a9b65f968a80d928e3a",
+    "src/CelerisLab/configs/config_body.json": "055f261f0828ca1d4f2bb694bd15b72bbcabe31d552326208f28e37f761adab1",
+    "src/CelerisLab/configs/config_lbm.json": "17e4311f1f250c6ece59177a8b6ff856b69a016c7c10267e774b030a0a390865",
+    "src/CelerisLab/configs/config_lbm_flume_mrt_zouhe.json": "8f593321db05a563a42931603a228d61cbcba06dfbe113262d5cd0ad93c0fe79",
+    "src/CelerisLab/configs/config_lbm_flume_trt_regularized.json": "f4bba8e6a4339fc3c4eb14f6e2f57c4b22993c73703c773d853edfbe34736e56",
+    "src/CelerisLab/configs/config_lbm_three_cylinder_triangle.json": "eeb8e7149dbe4aa6b3a9562802735aa950750dfbe2d972a0727e788573afa817",
+    "src/CelerisLab/cuda/__init__.py": "0d01dff9f0399c8baba822aab5ca0122a135f011008ed8a499ebd9f7e5b06aea",
+    "src/CelerisLab/cuda/compiler_v2.py": "c4cc3ec4445c8d75e6a253dd87963877117a722bc73b9d4811806fc6045d08c1",
+    "src/CelerisLab/cuda/context.py": "013dd4ec6d01d2fbd11afdfb103eac6a273bd9f798d663d761b851eeb27885e9",
+    "src/CelerisLab/cuda/obs_layout.py": "5ffb2c3aeeaaaaeb64f2cd8febfbcf4ad9919e5414020ad753cfade0683b21c2",
+    "src/CelerisLab/lbm/__init__.py": "7f60fb3aaae81501b510d08c2fedff44fcb05657260eb10b6f5cc91e7204306b",
+    "src/CelerisLab/lbm/block_stepper.py": "00b313daddc6e63d8ab8423c9190ca7e92ad291de20a2f6b80eb53e3f2d85ec7",
+    "src/CelerisLab/lbm/blocks.py": "1e644c5719993f418185ad4a10b6950a30636fc912befd9eab41ff48b4cf85cd",
+    "src/CelerisLab/lbm/channel.py": "40d0354e5dc97bcdb7e7b5c1e7f9303a109b7134d8a3af88b8ff4cd75ab5a095",
+    "src/CelerisLab/lbm/curved_links.py": "b6957fa13d13f864dba4f7364e93a39905d062dbb3ee9b3f5191add81fff0732",
+    "src/CelerisLab/lbm/descriptors.py": "c9f025dfc14da43b989047b84cc22bd05d5cc92c9ec695c1da68fdfb788e3f2b",
+    "src/CelerisLab/lbm/equilibrium.py": "2fb2f2bb7ff326d23abce80fc2a4c0907b17740ea3e29fe6ae079c5044783826",
+    "src/CelerisLab/lbm/field.py": "0e727eacc3706add4d8d15c418e9b631050871f831698d3ac689dd5f2c701b9b",
+    "src/CelerisLab/lbm/hierarchy.py": "f234975074f6b6d289d573ff6ea6832feae0e27cb04f80b37fe81792b13a12e7",
+    "src/CelerisLab/lbm/initializers.py": "dacf9586963e862d6d0a98ef1a066036be6f91e9d423720661d8ef2c1fb2df6a",
+    "src/CelerisLab/lbm/kernels/blocks.cu": "668e5cf14e88bdcfa281c2fa6c75c0f8f8cdbbfb8ba2ca03064ae02ef7ad0057",
+    "src/CelerisLab/lbm/kernels/boundary/bounce_back.cuh": "aba3748c564ed91b161d268ef8b737b7c7be96a823063d201f3da684dd845233",
+    "src/CelerisLab/lbm/kernels/boundary/curved_boundary.cuh": "aeb16bfd483514fb03e15a2fed437d673c3b8b2fe68ab83edf4244ef593878ea",
+    "src/CelerisLab/lbm/kernels/boundary/esopull_curved_helpers.cuh": "b9b474bc4edaff05681c5443235472d04072d0d775fc0eb9c5967faef52b0258",
+    "src/CelerisLab/lbm/kernels/boundary/ibm_kernels.cuh": "e6909b547dc8d64cdd8a76a90660243a8f5fee535caa161b52b4dd8b7c29934b",
+    "src/CelerisLab/lbm/kernels/boundary/inlet/channel_stabilized.cuh": "efe077afcbb6b731256a987c2fd79a1dbc470c902f87070d60421ea6cb13d4e2",
+    "src/CelerisLab/lbm/kernels/boundary/inlet/common.cuh": "59b38a89439878e00de7de16b9c7b03feff443fcc5a421593f7d2536dcbb7ab8",
+    "src/CelerisLab/lbm/kernels/boundary/inlet/equilibrium.cuh": "f0964c811b2c41a5aaa1c6d99c490b06e850c634eb8749f1f05ef61f93c2de1d",
+    "src/CelerisLab/lbm/kernels/boundary/inlet/regularized.cuh": "943d4a571818bacb89c70bccfaac202691121e3e385803ce6309123a0a03ddaf",
+    "src/CelerisLab/lbm/kernels/boundary/inlet/zou_he_local.cuh": "e73e66b853b1e4e0e30d8f4185d832aa414ce670a1813ce2b5459f2887f71f89",
+    "src/CelerisLab/lbm/kernels/boundary/inlet_outlet.cuh": "de8b213a6da42c2e5e9f8966199fc66ea4541b85144a90f3f5dbad3c6ab63b97",
+    "src/CelerisLab/lbm/kernels/boundary/outlet/pressure_neq.cuh": "c8b2adc66d12fe602076ddc9693c5c208711fcaddb58aa9a31401a269f51c4c4",
+    "src/CelerisLab/lbm/kernels/boundary/planar_velocity.cuh": "501b2759d0e2e4280cb6fdd127d66a50fa89f6de48fc2cae9a7eafb11ae90bed",
+    "src/CelerisLab/lbm/kernels/config.h": "7d1124125e0b354558297934460e64c760fb68cdd7bf6d01a1238bb2eaab8c37",
+    "src/CelerisLab/lbm/kernels/config/config_grid.h": "1db3e030ebdc116cd7f02362d1fd077daac55e8f0b4329f6285948c224d3ca5d",
+    "src/CelerisLab/lbm/kernels/config/config_method.h": "4374e04a130f90f97d17cc20c40d2f9ea0ed0dd8603817d07f215d02266e247c",
+    "src/CelerisLab/lbm/kernels/config/config_objects.h": "db793af052c756561a190a3ff2cb93ee5fe28462ee4f97c6af80882b4dc8b072",
+    "src/CelerisLab/lbm/kernels/config/config_obs.h": "c11e2249359145b5c4cbaaf0487506fa77c1f4b82c7c169ddc574aa0babcd727",
+    "src/CelerisLab/lbm/kernels/config/config_physics.h": "8ac0990b168e1058588676cc05c80df8634cfd671dbc92a89246c3c372d83a4e",
+    "src/CelerisLab/lbm/kernels/core/descriptors.cuh": "8440bc14857da9007982650f828a23608eec9f7cc4bf772e8c8dc1239cb45356",
+    "src/CelerisLab/lbm/kernels/core/flags.cuh": "0025705f24710330d9d9195f713879bfb650a85a3449baef0e196b831af104ab",
+    "src/CelerisLab/lbm/kernels/core/layout.cuh": "1fbd820021c89ac3efcde24145996cb0147769e607e498e61f308ed3e0b13706",
+    "src/CelerisLab/lbm/kernels/core/obs.cuh": "b742b77c9f61e1f020fe9922c3838ae9d855e17b381154958b58f10a22938922",
+    "src/CelerisLab/lbm/kernels/core/params.cuh": "6e18bf730d936d940e3d85452f0714a2eaae31bf41002f9fd520ec5b372878dd",
+    "src/CelerisLab/lbm/kernels/core/precision.cuh": "849df14b4cce50af52399e4b8f3e997196f3ae5f1163f68e28df3e6b2507a8c4",
+    "src/CelerisLab/lbm/kernels/kernel_v2.cu": "c7bd3fb705b77261ba2441c52a24a7e6a7865c165cba088a1b75201c4d29c408",
+    "src/CelerisLab/lbm/kernels/operators/collision_mrt.cuh": "aee444eb60c47a3fd518dca975d1af05425a0818a0ec6c3fb3f6150f60c2cb44",
+    "src/CelerisLab/lbm/kernels/operators/collision_srt.cuh": "6b7ff842f392c8f853d2d1a97cc69bfe50f21283f73e659404da07cf6c95f5e1",
+    "src/CelerisLab/lbm/kernels/operators/collision_trt.cuh": "9725b9840b9ad8b4ec7be61ff5d06d3151e86d1a87585c13f2fbf934d0d2c5f6",
+    "src/CelerisLab/lbm/kernels/operators/forcing_guo.cuh": "969a430c1af03f32e3bd0df95d805e64f56334717c44dd4ba208ba503062a24b",
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+    "src/CelerisLab/body/registry.py": "fbb7327780adbdc6da15ebdb799980daf32df22ee974af0893d7409f177bbb68",
+    "src/CelerisLab/body/sync_plan.py": "3a15bfe9ebeb91482dbfc68850761ef39c872cc12d2efc795babd0c01e392323",
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+    "src/CelerisLab/common/_types.py": "aad2ff1a9033d4fd68783ad7123afb47201ddc58785cb6dc0246947037072a5f",
+    "src/CelerisLab/common/checkpoint.py": "b2f960aecd5ac27a3a7130b809ffad4709c44d522edef0359ab952654625410b",
+    "src/CelerisLab/common/pathline.py": "a1b6efcc0a076d0f1dc8d49a595779426d7d5626b00072a59bac710ff02ad046",
+    "src/CelerisLab/common/preprocess.py": "7fc78a08857cf8e98519500b094a1d896af189b6b15658ff9b388ed51bed4515",
+    "src/CelerisLab/common/render.py": "0e055476257eb2bcd11e733766e52195de02f8fad228f570a3511a7c831bdc29",
+    "src/CelerisLab/common/streakline/__init__.py": "13ff1cfa416fdd721a08a659e76b5a5a99b8d3201add10a83b7b0bc654bc1eec",
+    "src/CelerisLab/common/streakline/_config.py": "a9185ef68e9c7b5d5a1dc0b04a28341e2ad91d13c145a7c106636a878cf0a605",
+    "src/CelerisLab/common/streakline/_integrate.py": "3fbd4368b2c8d0e7fda40dc65aac5df02b085008b4c68acd83cb7ae45d33a13b",
+    "src/CelerisLab/common/streakline/_render.py": "236cd637414ee318c4d66f9aed32110d8dc42a100d65fde06172f7cd0ba62c65",
+    "src/CelerisLab/common/streakline/_streakline.py": "1a3e08daa706b5f83cdeb337e9a945a36ddf7583c40af1d0bb9d825ac954df37",
+    "src/CelerisLab/config.py": "2f1bba7515f5bc08cb3a8d140bcafe7fa0689e01b3b06494697bb2956a71530e",
+    "src/CelerisLab/configs/CONFIG.md": "41cafdbe525366c08aa9d0416ea026ccf0026ba7123b8a9b65f968a80d928e3a",
+    "src/CelerisLab/configs/config_body.json": "055f261f0828ca1d4f2bb694bd15b72bbcabe31d552326208f28e37f761adab1",
+    "src/CelerisLab/configs/config_lbm.json": "17e4311f1f250c6ece59177a8b6ff856b69a016c7c10267e774b030a0a390865",
+    "src/CelerisLab/configs/config_lbm_flume_mrt_zouhe.json": "8f593321db05a563a42931603a228d61cbcba06dfbe113262d5cd0ad93c0fe79",
+    "src/CelerisLab/configs/config_lbm_flume_trt_regularized.json": "f4bba8e6a4339fc3c4eb14f6e2f57c4b22993c73703c773d853edfbe34736e56",
+    "src/CelerisLab/configs/config_lbm_three_cylinder_triangle.json": "eeb8e7149dbe4aa6b3a9562802735aa950750dfbe2d972a0727e788573afa817",
+    "src/CelerisLab/cuda/__init__.py": "0d01dff9f0399c8baba822aab5ca0122a135f011008ed8a499ebd9f7e5b06aea",
+    "src/CelerisLab/cuda/compiler_v2.py": "c4cc3ec4445c8d75e6a253dd87963877117a722bc73b9d4811806fc6045d08c1",
+    "src/CelerisLab/cuda/context.py": "013dd4ec6d01d2fbd11afdfb103eac6a273bd9f798d663d761b851eeb27885e9",
+    "src/CelerisLab/cuda/obs_layout.py": "5ffb2c3aeeaaaaeb64f2cd8febfbcf4ad9919e5414020ad753cfade0683b21c2",
+    "src/CelerisLab/lbm/__init__.py": "7f60fb3aaae81501b510d08c2fedff44fcb05657260eb10b6f5cc91e7204306b",
+    "src/CelerisLab/lbm/block_stepper.py": "00b313daddc6e63d8ab8423c9190ca7e92ad291de20a2f6b80eb53e3f2d85ec7",
+    "src/CelerisLab/lbm/blocks.py": "1e644c5719993f418185ad4a10b6950a30636fc912befd9eab41ff48b4cf85cd",
+    "src/CelerisLab/lbm/channel.py": "40d0354e5dc97bcdb7e7b5c1e7f9303a109b7134d8a3af88b8ff4cd75ab5a095",
+    "src/CelerisLab/lbm/curved_links.py": "b6957fa13d13f864dba4f7364e93a39905d062dbb3ee9b3f5191add81fff0732",
+    "src/CelerisLab/lbm/descriptors.py": "c9f025dfc14da43b989047b84cc22bd05d5cc92c9ec695c1da68fdfb788e3f2b",
+    "src/CelerisLab/lbm/equilibrium.py": "2fb2f2bb7ff326d23abce80fc2a4c0907b17740ea3e29fe6ae079c5044783826",
+    "src/CelerisLab/lbm/field.py": "0e727eacc3706add4d8d15c418e9b631050871f831698d3ac689dd5f2c701b9b",
+    "src/CelerisLab/lbm/hierarchy.py": "f234975074f6b6d289d573ff6ea6832feae0e27cb04f80b37fe81792b13a12e7",
+    "src/CelerisLab/lbm/initializers.py": "dacf9586963e862d6d0a98ef1a066036be6f91e9d423720661d8ef2c1fb2df6a",
+    "src/CelerisLab/lbm/kernels/blocks.cu": "2fa894b20a29f006911ac3e3aad0793cc4aaf9ccd7a67d01c6320a0836b1d8ef",
+    "src/CelerisLab/lbm/kernels/boundary/bounce_back.cuh": "aba3748c564ed91b161d268ef8b737b7c7be96a823063d201f3da684dd845233",
+    "src/CelerisLab/lbm/kernels/boundary/curved_boundary.cuh": "aeb16bfd483514fb03e15a2fed437d673c3b8b2fe68ab83edf4244ef593878ea",
+    "src/CelerisLab/lbm/kernels/boundary/esopull_curved_helpers.cuh": "b9b474bc4edaff05681c5443235472d04072d0d775fc0eb9c5967faef52b0258",
+    "src/CelerisLab/lbm/kernels/boundary/ibm_kernels.cuh": "e6909b547dc8d64cdd8a76a90660243a8f5fee535caa161b52b4dd8b7c29934b",
+    "src/CelerisLab/lbm/kernels/boundary/inlet/channel_stabilized.cuh": "efe077afcbb6b731256a987c2fd79a1dbc470c902f87070d60421ea6cb13d4e2",
+    "src/CelerisLab/lbm/kernels/boundary/inlet/common.cuh": "59b38a89439878e00de7de16b9c7b03feff443fcc5a421593f7d2536dcbb7ab8",
+    "src/CelerisLab/lbm/kernels/boundary/inlet/equilibrium.cuh": "f0964c811b2c41a5aaa1c6d99c490b06e850c634eb8749f1f05ef61f93c2de1d",
+    "src/CelerisLab/lbm/kernels/boundary/inlet/regularized.cuh": "943d4a571818bacb89c70bccfaac202691121e3e385803ce6309123a0a03ddaf",
+    "src/CelerisLab/lbm/kernels/boundary/inlet/zou_he_local.cuh": "e73e66b853b1e4e0e30d8f4185d832aa414ce670a1813ce2b5459f2887f71f89",
+    "src/CelerisLab/lbm/kernels/boundary/inlet_outlet.cuh": "de8b213a6da42c2e5e9f8966199fc66ea4541b85144a90f3f5dbad3c6ab63b97",
+    "src/CelerisLab/lbm/kernels/boundary/outlet/pressure_neq.cuh": "c8b2adc66d12fe602076ddc9693c5c208711fcaddb58aa9a31401a269f51c4c4",
+    "src/CelerisLab/lbm/kernels/boundary/planar_velocity.cuh": "501b2759d0e2e4280cb6fdd127d66a50fa89f6de48fc2cae9a7eafb11ae90bed",
+    "src/CelerisLab/lbm/kernels/config.h": "7d1124125e0b354558297934460e64c760fb68cdd7bf6d01a1238bb2eaab8c37",
+    "src/CelerisLab/lbm/kernels/config/config_grid.h": "1db3e030ebdc116cd7f02362d1fd077daac55e8f0b4329f6285948c224d3ca5d",
+    "src/CelerisLab/lbm/kernels/config/config_method.h": "4374e04a130f90f97d17cc20c40d2f9ea0ed0dd8603817d07f215d02266e247c",
+    "src/CelerisLab/lbm/kernels/config/config_objects.h": "db793af052c756561a190a3ff2cb93ee5fe28462ee4f97c6af80882b4dc8b072",
+    "src/CelerisLab/lbm/kernels/config/config_obs.h": "c11e2249359145b5c4cbaaf0487506fa77c1f4b82c7c169ddc574aa0babcd727",
+    "src/CelerisLab/lbm/kernels/config/config_physics.h": "8ac0990b168e1058588676cc05c80df8634cfd671dbc92a89246c3c372d83a4e",
+    "src/CelerisLab/lbm/kernels/core/descriptors.cuh": "8440bc14857da9007982650f828a23608eec9f7cc4bf772e8c8dc1239cb45356",
+    "src/CelerisLab/lbm/kernels/core/flags.cuh": "0025705f24710330d9d9195f713879bfb650a85a3449baef0e196b831af104ab",
+    "src/CelerisLab/lbm/kernels/core/layout.cuh": "1fbd820021c89ac3efcde24145996cb0147769e607e498e61f308ed3e0b13706",
+    "src/CelerisLab/lbm/kernels/core/obs.cuh": "b742b77c9f61e1f020fe9922c3838ae9d855e17b381154958b58f10a22938922",
+    "src/CelerisLab/lbm/kernels/core/params.cuh": "6e18bf730d936d940e3d85452f0714a2eaae31bf41002f9fd520ec5b372878dd",
+    "src/CelerisLab/lbm/kernels/core/precision.cuh": "849df14b4cce50af52399e4b8f3e997196f3ae5f1163f68e28df3e6b2507a8c4",
+    "src/CelerisLab/lbm/kernels/kernel_v2.cu": "c7bd3fb705b77261ba2441c52a24a7e6a7865c165cba088a1b75201c4d29c408",
+    "src/CelerisLab/lbm/kernels/operators/collision_mrt.cuh": "aee444eb60c47a3fd518dca975d1af05425a0818a0ec6c3fb3f6150f60c2cb44",
+    "src/CelerisLab/lbm/kernels/operators/collision_srt.cuh": "6b7ff842f392c8f853d2d1a97cc69bfe50f21283f73e659404da07cf6c95f5e1",
+    "src/CelerisLab/lbm/kernels/operators/collision_trt.cuh": "9725b9840b9ad8b4ec7be61ff5d06d3151e86d1a87585c13f2fbf934d0d2c5f6",
+    "src/CelerisLab/lbm/kernels/operators/forcing_guo.cuh": "969a430c1af03f32e3bd0df95d805e64f56334717c44dd4ba208ba503062a24b",
+    "src/CelerisLab/lbm/kernels/operators/helpers.cuh": "0b3a4d95d7d19f5fec09e5423b8f4cc99f8a226b541967425967330da5a051ec",
+    "src/CelerisLab/lbm/kernels/operators/macro.cuh": "2be20eb2b7d7f5522daaad7f4b57b1ff8cdf883efe4a67846a96783b2fe846a3",
+    "src/CelerisLab/lbm/kernels/operators/turbulence_smag.cuh": "ff7f000297ee0817e255ad9fcb6a13b647e3ddd5b206518d35f38d2895a9f501",
+    "src/CelerisLab/lbm/kernels/refinement.cu": "b45aad9c022cecb64f7e968ec3cae2d8385a3cc430ee409700c404a3f4dd8cf8",
+    "src/CelerisLab/lbm/kernels/step/aux_kernels.cu": "578a5b20a157241ee678547059abb1372dd5a589ad06bb2c15b987eb01ca1013",
+    "src/CelerisLab/lbm/kernels/step/block_channel.cu": "ee8a31398b8e5233d977c816e6b8e060c1eb2ec71320e594226dbca55593c0d0",
+    "src/CelerisLab/lbm/kernels/step/curved_double.cu": "bfa7a1df1e939020314d49755045f7a85fe4a19cc1c68dbe62653c66c5e7c2b3",
+    "src/CelerisLab/lbm/kernels/step/esopull_macro.cu": "c73116020ca217ede1e4de27c8269c31f9d91e33433ac8252a21e9b14187c50f",
+    "src/CelerisLab/lbm/kernels/step/esopull_sync.cu": "c0ff3e72900c3ab89a05dd03684e96d3b740cf1672d565727fc2af165933d087",
+    "src/CelerisLab/lbm/kernels/step/init_flow.cu": "305be3bb12fc0d039acec1701baabcf0e8a35e683c49c34f2af8ca9867d2b29c",
+    "src/CelerisLab/lbm/kernels/step/one_step_double.cu": "f9f8242b38e8e0cf8425b75e2b0215bc15363c62eaa0fb43c761b8e0931bfdc9",
+    "src/CelerisLab/lbm/kernels/step/one_step_esopull.cu": "aa223b2744ae6c9125673df311a96ce588032c1ba58bebb11fd33ecb990f8ed4",
+    "src/CelerisLab/lbm/kernels/streaming/esopull_semantic_helpers.cuh": "dd5a9091628b079efd97e53fd49e52d09dcee88529235db77a5648e02937af6e",
+    "src/CelerisLab/lbm/kernels/streaming/esopull_single_buffer.cuh": "77ed4ab9a0ebc5ff62a91a7c39066ef395391ae36e9040a69fb2bd8b1626dc79",
+    "src/CelerisLab/lbm/kernels/streaming/pull_double_buffer.cuh": "b65d741ed78b7b62f99531ba0c0ce1936663d8dc9640e7d7d16c707f1baf6549",
+    "src/CelerisLab/lbm/population_storage.py": "a6a86c29c52c892edfe4802fb773c387212e3f4cc86708d80e154986ddf88044",
+    "src/CelerisLab/lbm/raw_exchange.py": "9031a196006a0f74dee4028e6f3bb673bc19ef7959f9f04dde9e01f93293aeb3",
+    "src/CelerisLab/lbm/refinement.py": "100d5e46ac894f6008b61364cdad5d37c2ca7ed949d8d71405572d6366526417",
+    "src/CelerisLab/lbm/refinement_stepper.py": "b6b835cf97f5aa045045bb4a47cfde34b89929d3872be410cb155727dfca2d33",
+    "src/CelerisLab/lbm/refinement_tables.py": "6eea593aaf791a2c644f1c74df0a41f6f5e62a2fce9feae76e19cf84b615607a",
+    "src/CelerisLab/lbm/stepper.py": "0dcb7cd7ae87e33e3dc67a38b6aa43042fbe673e37d9ad165342ee1d695933ce",
+    "src/CelerisLab/lbm/synchronized_remap.py": "7400fc4beaffd4649d6a9c524d38ce5fd6fa7eeb32eb5332e4030a4b6648f197",
+    "src/CelerisLab/simulation.py": "0a03904dc6de88667d7af699005a289adf8b09f0976cb0d099b041f4830a8f4c",
+    "tests/validation/data/dfg_re100/reference_cycle.json": "073d1bda1629697efebad95667bfe80598e217d708dbffd7d5f6c6999379c55f",
+    "tests/validation/periodic.py": "a2212c0e2705126327a5019e9cafe64eeca398da1b75061ff23630c9843697a6",
+    "tests/validation/re100_helpers.py": "289c6e01075ff361573f862b90cfd61e5980c9a8efcbc78aef69979b4004fd60",
+    "tests/validation/source_provenance.py": "6dfe8f2d819dba0e240ba761d31162a5033685d492d09db75eb2b8aaab3a5a4c"
+  }
+}
@@ -10,63 +10,13 @@ LINEAR = np.array([2.5, -1.5, 0.0])
 QUADRATIC = np.array([4.375, -5.25, 1.875])


-EVIDENCE_LIMIT = 32 * 1024**2
-
-
-def install_evidence(replacements, limit=None):
-    """Preflight retained bytes before replacing files; cap failure preserves old pair.
-
-    Staged compression bytes are temporary disk overhead, not retained evidence.
-    This guards budget failures, not a transactional crash-recovery filesystem.
-    """
-    temporary = set(replacements.values())
-    try:
-        directory = next(iter(replacements)).parent
-        retained = sum(
-            p.stat().st_size
-            for p in directory.iterdir()
-            if p.is_file() and p not in temporary
-        )
-        projected = retained - sum(p.stat().st_size for p in replacements if p.exists())
-        projected += sum(p.stat().st_size for p in temporary)
-        if limit is not None and projected > limit:
-            raise RuntimeError(
-                "Dense-root 32 MiB retained-evidence budget would be exceeded; last verified files preserved"
-            )
-        for target, staged in replacements.items():
-            staged.replace(target)
-    finally:
-        for p in temporary:
-            if p.exists():
-                p.unlink()
-
-
-def write_evidence_text(path, text, *, dense_root=False):
-    staged = path.with_name("." + path.name + ".pending")
-    staged.write_text(text)
-    install_evidence({path: staged}, EVIDENCE_LIMIT if dense_root else None)
-
-
 def sample_steps(c):
    """Same reference times at both scales; dense startup retained."""
-    if c.get("dense_root", False):
-        return np.arange(c["steps"] + 1, dtype=int)
-    return old_sample_steps(c)
-
-
-def old_sample_steps(c):
-    """Exact previous physical cadence, clipped to this campaign's endpoint."""
    s2 = c["scale"] ** 2
-    end = c.get("steps", 3200 * s2) // s2
-    reference = sorted(set(range(0, min(100, end) + 1)) | set(range(100, end + 1, 4)))
+    reference = sorted(set(range(0, 101)) | set(range(100, 3201, 4)))
    return np.array(reference, int) * s2


-def absolute_aperture_interval_mass(rows, blowing, suction):
-    """Sum absolute aperture NET masses for one root interval, not per-link flux."""
-    return float(abs(rows[blowing, 3].sum()) + abs(rows[suction, 3].sum()))
-
-
 def factors(scale):
    """Lref=one s=1 root length, Tref=one s=1 root time, rho_ref=1."""
    return dict(
@@ -155,7 +105,7 @@ def ray_geometry(fluid, origin, center, radius, h=0.5):
    )


-def reconstruct_aperture(rho, vel, geo, *, return_absolute=False):
+def reconstruct_aperture(rho, vel, geo):
    field = np.concatenate((rho[None], vel), axis=0)
    x, y, a, b = geo["ix"], geo["iy"], geo["a"], geo["b"]
    ray = (
@@ -165,24 +115,12 @@ def reconstruct_aperture(rho, vel, geo, *, return_absolute=False):
        + field[:, y + 1, x + 1] * a * b
    )
    estimates = []
-    absolute = []
    for coeff in (LINEAR, QUADRATIC):
        wall = np.einsum("cajk,k->caj", ray, coeff)
        un = np.einsum("caj,ajc->aj", wall[1:], geo["normal"])
        q = np.sum(un * geo["ds"], axis=1)
        mass = np.sum(wall[0] * un * geo["ds"], axis=1)
        estimates.append(np.stack((q, mass), axis=-1))
-        absolute.append(
-            np.stack(
-                (
-                    np.sum(abs(un) * geo["ds"], axis=1),
-                    np.sum(abs(wall[0] * un) * geo["ds"], axis=1),
-                ),
-                axis=-1,
-            )
-        )
-    if return_absolute:
-        return ray, np.array(estimates), np.array(absolute)
    return ray, np.array(estimates)


@@ -198,8 +136,6 @@ class MeasurementRecorder:
        self.cx = cx
        self.cy = cy
        self.records = []
-        self.sparse_rays = []
-        self.ray_steps = set(old_sample_steps(c).tolist())
        self.rays = [
            ray_geometry(fluid_u, (0.0, 0.0), np.array(c["center"]), c["diameter"] / 2),
            ray_geometry(leaves[1], origin_a, np.array(c["center"]), c["diameter"] / 2),
@@ -243,16 +179,8 @@ class MeasurementRecorder:
        record["cv_inventory"] = []
        record["cv_flux"] = []
        record["momentum_flux_terms"] = []
-        save_ray = not c.get("dense_root", False) or step in self.ray_steps
-        ray_record = dict(
-            sample_index=len(self.records),
-            arc_ray_values=[],
-            arc_estimates=[],
-            arc_absolute_estimates=[],
-        )
-        if not c.get("dense_root", False):
-            record["arc_ray_values"] = []
-            record["arc_estimates"] = []
+        record["arc_ray_values"] = []
+        record["arc_estimates"] = []
        record["nearest_mass_flux"] = [
            nearest_flux[k] for k in ("uniform_adapter", "amr_api")
        ]
@@ -275,18 +203,9 @@ class MeasurementRecorder:
                rtol=2e-10,
            )
            record["momentum_flux_terms"].append(terms)
-            if save_ray:
-                ray, estimates, absolute = reconstruct_aperture(
-                    rho, vel, self.rays[idx], return_absolute=True
-                )
-                ray_record["arc_ray_values"].append(ray)
-                ray_record["arc_estimates"].append(estimates)
-                ray_record["arc_absolute_estimates"].append(absolute)
-                if not c.get("dense_root", False):
-                    record["arc_ray_values"].append(ray)
-                    record["arc_estimates"].append(estimates)
-        if c.get("dense_root", False) and save_ray:
-            self.sparse_rays.append(ray_record)
+            ray, estimates = reconstruct_aperture(rho, vel, self.rays[idx])
+            record["arc_ray_values"].append(ray)
+            record["arc_estimates"].append(estimates)
        self.records.append(record)
        if step // s**2 in (0, 100, 800, 1600, 3200) and step % s**2 == 0:
            fields = {}
@@ -304,11 +223,7 @@ class MeasurementRecorder:
                fields[name + "_origin_reference"] = np.asarray(origin) / s
                fields[name + "_h_reference"] = np.array(h / s)
            file = self.output / f"fields_s{s}_tref{step//s**2}.npz"
-            staged = file.with_name("." + file.name + ".pending.npz")
-            np.savez_compressed(staged, **fields)
-            install_evidence(
-                {file: staged}, EVIDENCE_LIMIT if c.get("dense_root", False) else None
-            )
+            np.savez_compressed(file, **fields)
            self.snapshots.append(
                dict(
                    file=file.name,
@@ -321,32 +236,19 @@ class MeasurementRecorder:
    def flush(self):
        path = self.output / f"samples_s{self.c['scale']}.npz"
        arrays = {k: np.array([r[k] for r in self.records]) for k in self.records[0]}
-        if self.c.get("dense_root", False):
-            arrays["ray_sample_indices"] = np.array(
-                [r["sample_index"] for r in self.sparse_rays], dtype=int
-            )
-            for key in ("arc_ray_values", "arc_estimates", "arc_absolute_estimates"):
-                arrays[key] = np.array([r[key] for r in self.sparse_rays])
        for i, g in enumerate(self.rays):
            for k in ("normal", "ds", "positions"):
                arrays[f"ray_{i}_{k}"] = g[k]
        arrays["ray_offsets_fine_cells"] = OFFSETS
        arrays["linear_coefficients"] = LINEAR
        arrays["quadratic_coefficients"] = QUADRATIC
-        staged = path.with_name("." + path.name + ".pending.npz")
-        np.savez_compressed(staged, **arrays)
+        np.savez_compressed(path, **arrays)
        metadata = dict(
-            schema=2 if self.c.get("dense_root", False) else 1,
+            schema=1,
            case=self.c,
-            dense_root=bool(self.c.get("dense_root", False)),
-            ray_sample_index_key=(
-                "ray_sample_indices" if self.c.get("dense_root", False) else None
-            ),
-            raw_absolute_throughput_definition="Cumulative sum of abs(blowing NET dm)+abs(suction NET dm) per root interval; unresolved within-aperture/substep reversals; not abs(window net).",
-            absolute_throughput_definition="Quadrature integral of abs(reconstructed u.n), abs(reconstructed rho*u.n); not abs(signed integral), not prescribed nominal, not exact wall truth.",
            reference_conversion=factors(self.c["scale"]),
            sample_file=path.name,
-            sample_sha256=hashlib.sha256(staged.read_bytes()).hexdigest(),
+            sample_sha256=hashlib.sha256(path.read_bytes()).hexdigest(),
            sample_count=len(self.records),
            snapshots=self.snapshots,
            level_stats_columns=[
@@ -378,10 +280,6 @@ class MeasurementRecorder:
            ],
            warning="Extrapolation and nearest-node values are estimator-dependent, not exact wall values. Fields/ray arrays use root-lattice units except explicitly named reference arrays.",
        )
-        meta_path = self.output / f"samples_s{self.c['scale']}.json"
-        meta_staged = meta_path.with_name("." + meta_path.name + ".pending")
-        meta_staged.write_text(json.dumps(metadata, indent=2) + "\n")
-        install_evidence(
-            {path: staged, meta_path: meta_staged},
-            EVIDENCE_LIMIT if self.c.get("dense_root", False) else None,
+        (self.output / f"samples_s{self.c['scale']}.json").write_text(
+            json.dumps(metadata, indent=2) + "\n"
        )
@@ -0,0 +1,425 @@
+"""Bounded exact-source CUDA plumbing gate; never a flow-accuracy certificate.
+
+Run this driver externally against exact dev with --mode baseline first, then
+against the experimental source with --mode candidate --baseline <receipt>.
+Only scalar receipts/hashes and actual compiler sidecars are retained. Whole-step
+mass/momentum are diagnostics: no verified FP32 conservation bound is claimed.
+"""
+import argparse
+from contextlib import contextmanager
+from dataclasses import replace
+import hashlib
+import json
+import os
+import shutil
+from pathlib import Path
+import subprocess
+import sys
+
+import numpy as np
+
+BASE = 'ed9d8c937d446b854d6963bd92d718bb4fb98b96'
+PRODUCTION = 'a135252ae78b47b57d7e77d19001700b3bedac8b'
+STOPS = (0, 1, 2, 8)
+OPERATOR_ATOL, OPERATOR_RTOL = 6e-8, 2e-7
+REST_ATOL, REST_RTOL = 3e-7, 1e-6
+REPLAY_ATOL = 3e-6
+E = np.array([(0,0),(1,0),(-1,0),(0,1),(0,-1),(1,1),(-1,-1),(1,-1),(-1,1)])
+W = np.array([4/9]+[1/9]*4+[1/36]*4)
+
+
+def digest(array):
+    """All finite bits (including signed zero) and exact NaN mask; no NaN payloads."""
+    array = np.asarray(array)
+    if np.isinf(array).any():
+        raise AssertionError('infinite population')
+    finite = np.isfinite(array)
+    h = hashlib.sha256()
+    h.update(str((array.shape, array.dtype.str)).encode())
+    h.update(np.ascontiguousarray(finite).tobytes())
+    h.update(np.ascontiguousarray(array[finite]).tobytes())
+    return h.hexdigest()
+
+
+def independent_explosion(coarse, pair, layout, kind):
+    """Coordinate oracle; never reads the production neighbor/offset tables."""
+    ny, nx = pair.coarse_shape
+    legal = np.zeros((ny,nx), bool)
+    legal.ravel()[pair.ghost_coarse] = True
+    legal &= layout.owned & ~pair.covered & (kind == 0)
+    if not legal.ravel()[pair.ghost_coarse].all():
+        raise AssertionError('illegal center donor')
+    out = np.empty((9,len(pair.ghost_fine)))
+    flat = np.asarray(coarse, np.float64).reshape(9,-1)
+    for row, (target, donor) in enumerate(zip(pair.ghost_fine,pair.ghost_coarse)):
+        y,x = divmod(int(donor),nx)
+        gradient = np.zeros((9,2))
+        for axis, (dx,dy) in enumerate(((1,0),(0,1))):
+            ends = [(x-dx,y-dy),(x+dx,y+dy)]
+            if not layout.periodic[axis] and any(not (0<=xx<nx and 0<=yy<ny) for xx,yy in ends):
+                continue
+            ends = [(xx%nx,yy%ny) for xx,yy in ends]
+            if all(legal[yy,xx] for xx,yy in ends):
+                (xm,ym),(xp,yp) = ends
+                gradient[:,axis] = (flat[:,yp*nx+xp]-flat[:,ym*nx+xm])/2
+        for q in range(1,9):
+            gradient[q] -= E[q]*np.dot(E[q],gradient[q])/np.dot(E[q],E[q])
+        fy,fx = divmod(int(target),pair.fine_shape[1])
+        offset = np.array([pair.fine_origin[0]+(fx+.5)/2-(x+.5),
+                           pair.fine_origin[1]+(fy+.5)/2-(y+.5)])
+        out[:,row] = flat[:,int(donor)] + gradient@offset
+    return out
+
+
+def default_options(selector):
+    # Exact dev has no explosion keyword. Baseline and omitted paths pass none.
+    return {} if selector == 'omitted' else {'explosion':selector}
+
+
+def snapshot(run, raw):
+    from CelerisLab.lbm.refinement import ACTIVE, OUTER_GHOST
+    stored, public = raw(run), run.download()
+    hashes, totals = [], np.zeros(3)
+    for level,(values,visible,kind) in enumerate(zip(stored,public,run.hierarchy.kinds)):
+        active = kind == ACTIVE
+        if not np.isfinite(visible[:,active]).all() or not np.isnan(visible[:,~active]).all():
+            raise AssertionError('public ACTIVE/invalid mask mismatch')
+        if not np.isnan(values[:,kind==OUTER_GHOST]).all():
+            raise AssertionError('OUTER owner core is not poisoned')
+        population = visible[:,active].sum(axis=1,dtype=np.float64)*(.25**level)
+        totals += np.r_[population.sum(), E.T@population]
+        hashes.append(dict(raw=digest(values), public=digest(visible), active=int(active.sum())))
+    if not np.isfinite(totals).all():
+        raise AssertionError('nonfinite mass/momentum diagnostic')
+    return dict(step=run.step_count, levels=hashes, mass_momentum=totals.tolist())
+
+
+def initialize(run, rest=False):
+    arrays, origin, spacing = [], np.zeros(2), 1.
+    for index,level in enumerate(run._levels):
+        if index:
+            origin += spacing*np.asarray(run.hierarchy.pairs[index-1].fine_origin)
+            spacing /= 2
+        y,x = np.indices(level.shape[1:],dtype=np.float64)
+        x,y = origin[0]+spacing*(x+.5),origin[1]+spacing*(y+.5)
+        q = np.arange(9)[:,None,None]
+        values = np.broadcast_to(W[:,None,None],level.shape).copy()
+        if not rest:
+            # q-distinct smooth non-equilibrium G; same physical frame on all levels.
+            values += 1e-4*np.sin(.17*x+.23*y+q)
+        arrays.append(values)
+    run.initialize(*arrays)
+
+
+def operator_case(run, index):
+    import pycuda.driver as cuda
+    parent,child = run._levels[index:index+2]
+    geometry,pair = run.hierarchy.pairs[index],run._pairs[index]
+    c = np.random.default_rng(19+index).normal(0,.001,(9,*geometry.coarse_shape))
+    if not run._ddf_shifting:
+        c += W[:,None,None]
+    c = c.astype(np.float32)
+    legal = np.zeros(geometry.coarse_shape,bool)
+    legal.ravel()[geometry.ghost_coarse] = True
+    c[:,~legal] = np.nan
+    packed = parent.layout.to_blocked(c)
+    output = np.full(child.layout.blocked_shape,np.nan,np.float32)
+    cuda.memcpy_htod(parent.current,packed)
+    cuda.memcpy_htod(child.current,output)
+    calls, hop = [],run._hop
+    try:
+        run._hop = lambda *a,**kw: calls.append(a)
+        run._advance(index+1,parent.current,block=run._block,stream=run._stream)
+        run._stream.synchronize()
+    finally:
+        run._hop = hop
+    if calls != [(index+1,child.current,child.spare),(index+1,child.spare,child.current)]:
+        raise AssertionError('explosion changed two-hop launch contract')
+    cuda.memcpy_dtoh(output,child.current)
+    target = child.layout.owner.ravel()[geometry.ghost_fine]
+    slots = np.array([child.layout.slot(target,q) for q in range(9)])
+    actual = output.ravel()[slots]
+    expected = independent_explosion(c,geometry,parent.layout,run.hierarchy.kinds[index])
+    constant = c.reshape(9,-1)[:,geometry.ghost_coarse]
+    if not np.isfinite(actual).all() or np.max(abs(expected-constant)) <= 1e-5:
+        raise AssertionError('operator must exercise finite nonzero projected slopes')
+    np.testing.assert_allclose(actual,expected,atol=OPERATOR_ATOL,rtol=OPERATOR_RTOL)
+    untouched = np.ones(output.size,bool); untouched[slots.ravel()] = False
+    if not np.isnan(output.ravel()[untouched]).all():
+        raise AssertionError('explosion wrote outside its targets')
+    return dict(pair=index,rows=len(target),parent_stride=pair.parent_cells,
+                child_stride=int(np.prod(child.layout.local_shape)),
+                max_error_by_q=np.max(abs(actual-expected),axis=1).tolist(),
+                nonzero_projection=True,poisoned_nondonors=True,untouched_preserved=True)
+
+
+def replay_two_hops(values, pair, layout, kind):
+    """Existing FP64 two-hop algebra, using the independent coordinate oracle."""
+    from tests.unit.test_projected_explosion import collide
+    coarse,fine = (a.copy() for a in values)
+    fine.reshape(9,-1)[:,pair.ghost_fine] = independent_explosion(coarse,pair,layout,kind)
+    for _ in range(2):
+        fine = np.array([np.roll(fine[q],(ey,ex),(0,1)) for q,(ex,ey) in enumerate(E)])
+        fine[:,pair.fine_kind==2] = np.nan
+        active = pair.fine_kind==0
+        fine[:,active] = collide(fine[:,active],pair.tau_fine)
+    out = np.array([np.roll(coarse[q],(ey,ex),(0,1)) for q,(ex,ey) in enumerate(E)])
+    out.reshape(-1)[pair.coalesce_coarse] = fine.reshape(-1)[pair.coalesce_fine].mean(axis=1)
+    out[:,~pair.covered] = collide(out[:,~pair.covered],pair.tau_coarse)
+    out[:,pair.covered] = np.nan
+    return out,fine
+
+
+def run_case(ctx, case, shifted, selector, raw, projected=False, replay=False):
+    from CelerisLab.lbm.refinement_stepper import FixedPatchStepper
+    cfg,refs,blocks = case
+    cfg = replace(cfg,velocity=0,ddf_shifting=shifted)
+    with FixedPatchStepper(cfg,context=ctx,refinements=refs,level_blocks=blocks,
+                           **default_options(selector)) as run:
+        operator = [operator_case(run,i) for i in range(len(run._pairs))] if projected else []
+        counts = [0]*len(run._levels)
+        for index,level in enumerate(run._levels):
+            def counted(*a, index=index, kernel=level.kernel, **kw):
+                counts[index] += 1
+                return kernel(*a,**kw)
+            level.kernel = counted
+        def check_counts(stop):
+            if counts != [stop*2**index for index in range(len(counts))]:
+                raise AssertionError('actual level hop counts differ from acoustic schedule')
+        rest = []
+        if projected:
+            initialize(run,rest=True)
+            for stop in STOPS:
+                run.step(stop-run.step_count)
+                check_counts(stop)
+                snapshot(run,raw)  # actual public and raw invalid masks at every stop
+                maximum = 0.
+                for values,kind in zip(run.download(),run.hierarchy.kinds):
+                    active = values[:,kind==0]
+                    np.testing.assert_allclose(active,np.broadcast_to(W[:,None],active.shape),
+                                               atol=REST_ATOL,rtol=REST_RTOL)
+                    maximum = max(maximum,float(np.max(abs(active-W[:,None]))))
+                rest.append(dict(step=stop,max_absolute_error=maximum))
+        counts[:] = [0]*len(counts)
+        initialize(run)
+        reference = tuple(a.astype(np.float64) for a in run.download()) if replay else None
+        snapshots,replay_errors,previous = [],[],0
+        for stop in STOPS:
+            run.step(stop-run.step_count)
+            if replay:
+                for _ in range(stop-previous):
+                    reference = replay_two_hops(reference,run.hierarchy.pairs[0],
+                                               run._levels[0].layout,run.hierarchy.kinds[0])
+                errors = []
+                for actual,expected,kind in zip(run.download(),reference,run.hierarchy.kinds):
+                    np.testing.assert_allclose(actual[:,kind==0],expected[:,kind==0],
+                                               atol=REPLAY_ATOL,rtol=0)
+                    errors.append(np.max(abs(actual[:,kind==0]-expected[:,kind==0]),axis=1).tolist())
+                replay_errors.append(dict(step=stop,max_error_by_level_q=errors))
+            check_counts(stop)
+            snapshots.append(dict(snapshot(run,raw),observed_level_hops=counts.copy())); previous = stop
+        change = (np.array(snapshots[-1]['mass_momentum'])-
+                  np.array(snapshots[0]['mass_momentum'])).tolist()
+        return dict(operator=operator,snapshots=snapshots,rest_fixed_point=rest,
+                    replay_max_errors=replay_errors,mass_momentum_change_diagnostic=change,
+                    conservation_status='diagnostic_only_no_FP32_bound')
+
+
+def compare_snapshots(actual,expected):
+    if len(actual) != len(expected):
+        raise AssertionError('snapshot count differs')
+    for got,want in zip(actual,expected):
+        if (got['step'] != want['step'] or got['levels'] != want['levels']
+                or got.get('observed_level_hops') != want.get('observed_level_hops')):
+            raise AssertionError('owner bits, public values or masks differ')
+
+
+def cases():
+    from CelerisLab.config import LBMConfig
+    from tests.unit.test_hierarchy import CFG, FOUR
+    scalar = (LBMConfig(nx=16,ny=16,viscosity=.02),
+              [(4,4,12,12),(8,8,16,16),(8,8,16,16)],
+              [(4,4),(4,8),(6,4),(4,6)])
+    four = (CFG,FOUR,[(6,8),(8,6),(12,8),(16,12)])
+    concave = (LBMConfig(nx=30,ny=30,viscosity=.1),
+               [[(4,4,5,7),(4,5,7,7)]],[(6,5),(4,6)])
+    return dict(scalar=scalar,four=four,concave=concave)
+
+
+def baseline_receipt(receipt, driver_hash, keys):
+    if (receipt.get('completed') is not True or receipt.get('dry_run') is not False
+            or receipt.get('mode') != 'baseline' or receipt.get('production_revision') != BASE
+            or receipt.get('source',{}).get('revision') != BASE
+            or receipt.get('source',{}).get('dirty') is not False
+            or receipt.get('driver_sha256') != driver_hash
+            or receipt.get('stops') != list(STOPS)
+            or receipt.get('operator_tolerance') != [OPERATOR_ATOL,OPERATOR_RTOL]
+            or receipt.get('rest_tolerance') != [REST_ATOL,REST_RTOL]
+            or receipt.get('replay_tolerance') != [REPLAY_ATOL,0]
+            or set(receipt.get('default_snapshots',{})) != set(keys)
+            or not receipt.get('actual_build_sidecars')):
+        raise ValueError('baseline receipt does not match the frozen exact-dev gate')
+    return receipt
+
+
+def remap_case(ctx, shifted, raw):
+    from CelerisLab.lbm.refinement_stepper import FixedPatchStepper
+    cfg,refs,blocks = cases()['four']
+    with FixedPatchStepper(replace(cfg,velocity=0,ddf_shifting=shifted),context=ctx,
+            refinements=refs[:2],level_blocks=blocks[:3],explosion='projected_linear') as run:
+        initialize(run); run.step(1)
+        before = snapshot(run,raw)
+        with run.remap_child([(22,22,42,42),(72,68,76,76)]) as clone:
+            if clone._explosion != 'projected_linear' or any(p.neighbors is None for p in clone._pairs):
+                raise AssertionError('remap lost projected selection')
+            if clone.step_count != 1: raise AssertionError('remap lost synchronized count')
+            initial = snapshot(clone,raw)
+            clone.step(1)
+            after = snapshot(clone,raw)
+            if clone.step_count != 2: raise AssertionError('remap did not continue count')
+        compare_snapshots([snapshot(run,raw)],[before])
+        return dict(shifted=shifted,source_unchanged=True,initial=initial,continued=after)
+
+
+@contextmanager
+def capture_builds(report, save, baseline=None):
+    from CelerisLab.cuda import compiler_v2 as compiler
+    original = compiler.load_module
+    def load(path):
+        path = Path(path)
+        metadata = json.loads(Path(str(path)+'.json').read_text())
+        if metadata['ptx_sha256'] != hashlib.sha256(path.read_bytes()).hexdigest():
+            raise AssertionError('actual PTX and build sidecar disagree')
+        if baseline and (metadata['arch'],metadata['flags']) not in [
+                (m['arch'],m['flags']) for m in baseline['actual_build_sidecars']]:
+            raise AssertionError('baseline build architecture or flags differ')
+        report['actual_build_sidecars'].append(metadata)
+        save()  # capture AMR metadata before production cleanup removes scratch
+        return original(str(path))
+    compiler.load_module = load
+    try:
+        yield
+    finally:
+        compiler.load_module = original
+
+
+def preflight(repo, revision, mode):
+    git = lambda *a: subprocess.check_output(['git','-C',str(repo),*a],text=True).strip()
+    if git('rev-parse','HEAD') != revision or git('status','--porcelain'):
+        raise ValueError('requires the exact expected clean checkout')
+    source = BASE if mode == 'baseline' else PRODUCTION
+    if mode == 'baseline' and revision != BASE:
+        raise ValueError('baseline must be exact ed9d8c9')
+    if subprocess.call(['git','-C',str(repo),'diff','--quiet',source,'--','src']):
+        raise ValueError('production source differs from the frozen source revision')
+    return source
+
+
+def main():
+    parser = argparse.ArgumentParser(description=__doc__)
+    parser.add_argument('--repo',type=Path,required=True)
+    parser.add_argument('--expected-revision',required=True)
+    parser.add_argument('--mode',choices=('baseline','candidate'),required=True)
+    parser.add_argument('--baseline',type=Path)
+    parser.add_argument('--output',type=Path,required=True)
+    parser.add_argument('--run-gpu',action='store_true')
+    parser.add_argument('--dry-run',action='store_true')
+    args = parser.parse_args()
+    if args.output.exists(): parser.error('output already exists')
+    selected = os.environ.get('CUDA_VISIBLE_DEVICES','')
+    if not args.dry_run and (not args.run_gpu or not selected or ',' in selected or selected=='-1'):
+        parser.error('--run-gpu and exactly one explicit CUDA_VISIBLE_DEVICES are required')
+    repo = args.repo.resolve()
+    source = preflight(repo,args.expected_revision,args.mode)
+    baseline = None
+    if args.mode == 'candidate':
+        if args.baseline is None: parser.error('candidate requires --baseline receipt')
+        baseline = json.loads(args.baseline.read_text())
+    sys.path[:0] = [str(repo/'src'),str(repo),str(repo/'tests/validation/multigrid'),
+                   str(repo/'tests/validation/taylor_green')]
+    import CelerisLab
+    if Path(CelerisLab.__file__).resolve() != repo/'src/CelerisLab/__init__.py':
+        raise RuntimeError('wrong imported checkout')
+    from run_case import provenance
+    driver_hash = hashlib.sha256(Path(__file__).read_bytes()).hexdigest()
+    keys = [f'{name}:shifted={shifted}' for name in cases() for shifted in (False,True)]
+    if baseline is not None: baseline_receipt(baseline,driver_hash,keys)
+    report = dict(mode=args.mode,production_revision=source,source=provenance(repo),
+                  driver_sha256=driver_hash,
+                  device_selection=selected,completed=False,dry_run=args.dry_run,
+                  operator_tolerance=[OPERATOR_ATOL,OPERATOR_RTOL],
+                  rest_tolerance=[REST_ATOL,REST_RTOL],replay_tolerance=[REPLAY_ATOL,0],stops=STOPS,
+                  conservation_status='diagnostic_only_no_FP32_bound',
+                  actual_build_sidecars=[],default_snapshots={},default_equivalence=[],
+                  projected_operator=[],union_multilevel_smoke=[],changed_remap=[])
+    args.output.parent.mkdir(parents=True,exist_ok=True)
+    def save():
+        text = json.dumps(report,indent=2,allow_nan=False)+'\n'
+        if len(text.encode()) > 8*1024*1024: raise RuntimeError('receipt exceeds 8 MiB cap')
+        temporary = args.output.with_suffix(args.output.suffix+'.tmp')
+        temporary.write_text(text); os.replace(temporary,args.output)
+    save()
+    if args.dry_run:
+        print('Source preflight only; no CUDA imports or execution.'); return
+    try:
+        from CelerisLab.cuda.context import CudaContext
+        from test_refinement_blocked_base import raw
+        with CudaContext(0) as ctx, capture_builds(report,save,baseline):
+            import pycuda.driver as cuda
+            report['device'] = dict(name=ctx.device.name(),pci_bus_id=ctx.device.pci_bus_id(),
+                                    capability=list(ctx.device.compute_capability()),
+                                    driver=cuda.get_driver_version(),runtime=list(cuda.get_version()))
+            nvcc = shutil.which('nvcc') or '/usr/local/cuda/bin/nvcc'
+            report['nvcc_version'] = subprocess.check_output([nvcc,'--version'],text=True).strip()
+            if baseline and (report['device'] != baseline.get('device')
+                             or report['nvcc_version'] != baseline.get('nvcc_version')
+                             or selected != baseline.get('device_selection')):
+                raise ValueError('baseline GPU/device selection or toolchain differs')
+            for name,case in cases().items():
+                for shifted in (False,True):
+                    key = f'{name}:shifted={shifted}'
+                    report['active_case'] = f'default:{key}'
+                    result = run_case(ctx,case,shifted,'omitted',raw)
+                    report['default_snapshots'][key] = result['snapshots']
+                    if baseline:
+                        compare_snapshots(result['snapshots'],baseline['default_snapshots'][key])
+                        explicit = run_case(ctx,case,shifted,'constant',raw)
+                        compare_snapshots(explicit['snapshots'],result['snapshots'])
+                        report['default_equivalence'].append(dict(case=key,passed=True))
+                    save()
+            if baseline:
+                for name,case in cases().items():
+                    for shifted in (False,True):
+                        report['active_case'] = f'projected:{name}:shifted={shifted}'
+                        result = run_case(ctx,case,shifted,'projected_linear',raw,True,name=='concave')
+                        cfg,refs,blocks = case
+                        if name == 'four':
+                            variant_refs = [list(reversed(rects)) for rects in refs]
+                        elif name == 'concave':
+                            variant_refs = [[(4,5,7,7),(4,4,5,5)]]  # same union, disjoint decomposition
+                        else:
+                            variant_refs = refs
+                        variant = (cfg,variant_refs,[(2,2)]*len(blocks))
+                        alternate = run_case(ctx,variant,shifted,'projected_linear',raw,True)
+                        compare_snapshots(alternate['snapshots'],result['snapshots'])
+                        report['projected_operator'].append(dict(case=name,shifted=shifted,rows=result['operator']))
+                        report['union_multilevel_smoke'].append(dict(case=name,shifted=shifted,result=result,
+                                                                   alternate_bits_identical=True))
+                        save()
+                for shifted in (False,True):
+                    report['active_case'] = f'changed-remap:shifted={shifted}'
+                    report['changed_remap'].append(remap_case(ctx,shifted,raw)); save()
+                expected_builds = {(s['arch'],tuple(s['flags'])) for s in baseline['actual_build_sidecars']}
+                actual_builds = {(s['arch'],tuple(s['flags'])) for s in report['actual_build_sidecars']}
+                if actual_builds != expected_builds:
+                    raise AssertionError('baseline build architecture or compiler flags differ')
+            report['completed'] = True
+            save()
+    except Exception as error:
+        report['error'] = f'{type(error).__name__}: {error}'
+        save(); raise
+    print(json.dumps(dict(completed=True,mode=args.mode,receipt=str(args.output))))
+
+
+if __name__ == '__main__':
+    main()
@@ -192,6 +192,7 @@ class CpuContracts(unittest.TestCase):
        backend._lock = RLock()
        backend._status = "ready"
        backend._step_count = 0
+        backend._ddf_shifting = False  # unshifted storage, as for the default config
        backend._stream = Mock()
        backend._module = Mock()
        backend._copy = backend._step = Mock()
@@ -27,7 +27,7 @@ def state(ny, nx):

 def compile_module(cfg, context, source):
    cfg.validate()
-    build = compiler.generate_config(cfg)
+    build = compiler.generate_config(cfg, block_root_bc=2 if source == "blocks.cu" else 0)
    try:
        module = compiler.load_module(compiler.compile_kernel(context.sm_arch, source=source, build_dir=build))
    finally:
@@ -106,9 +106,10 @@ class ChannelRootGPU(unittest.TestCase):
                    cfg = LBMConfig(nx=48, ny=32, viscosity=.1, velocity=.015, ddf_shifting=shifted)
                    reference = None
                    for block in ((32,48), (8,8), (4,1)):
-                        with FixedPatchStepper(cfg, (8,6,40,26), context=context,
-                                coarse_boundary="channel", base_block=block, fine_block=(8,8),
-                                fine_objects=(body,) if bodies else (), jets=(jet,) if bodies else ()) as backend:
+                        with FixedPatchStepper(cfg, context=context, coarse_boundary="channel",
+                                refinements=[(8,6,40,26)], level_blocks=[block, (8,8)],
+                                level_objects=[(), (body,) if bodies else ()],
+                                level_jets=[(), (jet,) if bodies else ()]) as backend:
                            arrays = [state(*level.shape[1:]) for level in backend._levels]
                            backend.initialize(*arrays)
                            backend.step(4)
@@ -0,0 +1,261 @@
+"""Optional observation-window exchange ledger: host contract (mocked driver) and GPU gate.
+
+Run CPU and GPU classes in separate processes; GPU callers select the device.
+ExchangeWindowGPU uses the SRT/unshifted Jet fixture; ExchangeWindowShiftedMRTGPU covers a
+shifted MRT, all-blocked, stationary-body case without Jets (no shifted-MRT Jet claim).
+GPU tolerance (conservative engineering tolerance, not a universal proof): the window ledger
+sums h*dt*raw per link over fine substeps, while the reference sums per-base interval ledgers
+over links and then over base steps. Both are FP64 reorderings of the same FP32-exact substep
+contributions, so the scale is the sum of the ACTUAL absolute substep contributions (read from
+last_raw after every fine hop), not of per-base totals that could hide substep cancellation:
+|window - reference| <= 4 * m * eps * sum|substep terms| + 1e-300, m = links * substeps.
+"""
+from contextlib import ExitStack
+import unittest
+from unittest.mock import patch
+
+import numpy as np
+import pycuda.driver as cuda
+
+from CelerisLab.lbm.refinement_stepper import FixedPatchStepper
+from test_refinement_blocked_base import mocked_backend
+from test_refinement_blocked_fine import BOUNDS, circle, config
+
+EPS = np.finfo(np.float64).eps
+
+
+def build(m, window=True, raw=True):
+    return FixedPatchStepper(config("periodic"), context=m["context"], refinements=[BOUNDS],
+                             level_blocks=[(3, 4), (16, 20)], level_objects=[(), (circle(),)],
+                             observe_raw_exchange=raw, observe_window_exchange=window)
+
+
+def same_bits(test, a, b):
+    """Identical NaN masks, no infinities, identical finite FP32 bits (incl. signed zero)."""
+    a, b = np.asarray(a), np.asarray(b)
+    test.assertEqual(a.dtype, b.dtype)
+    test.assertFalse(np.isinf(a).any() or np.isinf(b).any())
+    np.testing.assert_array_equal(np.isnan(a), np.isnan(b))
+    finite = np.isfinite(a)
+    np.testing.assert_array_equal(a[finite].view(np.uint32), b[finite].view(np.uint32))
+
+
+def accumulations(m):
+    return [c for c in m["calls"] if c[0] == "BlockAccumulateExchange"]
+
+
+class ExchangeWindowCPU(unittest.TestCase):
+    def test_constructor_validation(self):
+        with mocked_backend() as m:
+            with self.assertRaisesRegex(ValueError, "requires observe_raw_exchange"):
+                build(m, window=True, raw=False)
+            with self.assertRaisesRegex(ValueError, "must be bool"):
+                build(m, window=1)
+
+    def test_state_machine_and_launches(self):
+        with mocked_backend() as m, ExitStack() as stack:
+            stack.enter_context(patch.object(cuda, "memset_d8"))
+            stack.enter_context(patch.object(cuda, "memset_d8_async"))
+            stack.enter_context(patch.object(cuda, "memcpy_dtoh",
+                                             side_effect=lambda out, src: out.fill(0)))
+            backend = build(m)
+            b = backend._level_boundaries[1]
+            self.assertIsNotNone(b.window_integral)
+            with self.assertRaises(RuntimeError):
+                backend.start_exchange_window()  # not initialized
+            arrays = [np.full(level.shape, 1 / 9, np.float32) for level in backend._levels]
+            backend.initialize(*arrays)
+            with self.assertRaisesRegex(RuntimeError, "no valid exchange window"):
+                backend.read_exchange_window(0)
+            backend.step(1)
+            self.assertEqual(len(accumulations(m)), 2)  # closed window: interval ledger only
+            backend.start_exchange_window()
+            with self.assertRaisesRegex(RuntimeError, "at least one completed"):
+                backend.read_exchange_window(0)
+            m["calls"].clear()
+            backend.step(2)
+            calls = accumulations(m)
+            self.assertEqual(len(calls), 8)  # two fine hops x two ledgers x two base steps
+            self.assertEqual({id(c[1][1]) for c in calls},
+                             {id(b.interval_integral), id(b.window_integral)})
+            out = backend.read_exchange_window(0)
+            self.assertEqual((out["time_start"], out["time_end"], out["sample_count"]), (1., 3, 4))
+            self.assertEqual(backend.read_exchange_window(0)["time_end"], 3)  # non-destructive
+            backend.initialize(*arrays)  # invalidates
+            with self.assertRaisesRegex(RuntimeError, "no valid exchange window"):
+                backend.read_exchange_window(0)
+            backend.start_exchange_window()
+            with patch.object(backend, "_hop", side_effect=RuntimeError("injected")):
+                with self.assertRaises(RuntimeError):
+                    backend.step(1)
+            self.assertFalse(backend._window_valid)
+            with self.assertRaises(RuntimeError):
+                backend.read_exchange_window(0)  # failed status
+
+    def test_disabled_default_has_no_window_cost(self):
+        with mocked_backend() as m, ExitStack() as stack:
+            stack.enter_context(patch.object(cuda, "memset_d8_async"))
+            backend = build(m, window=False)
+            self.assertIsNone(backend._level_boundaries[1].window_integral)
+            backend.initialize(*[np.full(l.shape, 1 / 9, np.float32) for l in backend._levels])
+            backend.step(1)
+            self.assertEqual(len(accumulations(m)), 2)
+            with self.assertRaisesRegex(RuntimeError, "disabled"):
+                backend.start_exchange_window()
+
+
+class ExchangeWindowGPU(unittest.TestCase):
+    def test_window_matches_summed_base_reads_and_populations_unchanged(self):
+        from test_raw_exchange_gpu import BOUNDS as RB, CFG, circle as rc, jet, state
+        from CelerisLab.cuda.context import CudaContext
+        with CudaContext(0) as ctx:
+            kw = dict(context=ctx, refinements=[RB], level_blocks=[None, (16, 20)],
+                      level_objects=[(), (rc(),)], level_jets=[(), (jet(),)],
+                      observe_raw_exchange=True)
+            with FixedPatchStepper(CFG, observe_window_exchange=True, **kw) as windowed, \
+                 FixedPatchStepper(CFG, **kw) as plain:
+                arrays = [state(level.shape) for level in windowed._levels]
+                windowed.initialize(*arrays)
+                plain.initialize(*arrays)
+                windowed.step(2)
+                plain.step(2)
+                windowed.start_exchange_window()
+                b = windowed._level_boundaries[1]
+                count = len(b.tables["cell"])
+                factors = np.array([.25, .25, .125, .25])  # h*dt, h*h*dt, h*h for level-1 h=.5
+                scale = np.zeros(4)
+                substeps = 0
+                kernel = windowed._levels[1].kernel
+
+                def audited(src, dst, *args, **kw):
+                    nonlocal scale, substeps
+                    windowed._stream.synchronize()  # BFL and both accumulations are complete
+                    raw = np.empty((count, 4), np.float32)
+                    cuda.memcpy_dtoh(raw, b.last_raw)
+                    scale = scale + (np.abs(raw.astype(np.float64)) * factors).sum(axis=0)
+                    substeps += 1
+                    kernel(src, dst, *args, **kw)
+                windowed._levels[1].kernel = audited
+                keys = ("impulse", "angular_impulse", "mass_into_fluid")
+                summed = {part: [0., 0., 0., 0.] for part in ("total", "wall", "aperture")}
+                steps = 0
+                for speed in (0., .002, .002, -.001, 0., 0.):  # amplitude updates stay in-window
+                    windowed.set_jet_amplitude(0, speed)
+                    plain.set_jet_amplitude(0, speed)
+                    windowed.step(1)
+                    plain.step(1)
+                    steps += 1
+                    obs = windowed.read_raw_exchange(0)
+                    for part in summed:
+                        o = obs[part]
+                        summed[part] = [summed[part][0] + o["impulse"][0], summed[part][1] + o["impulse"][1],
+                                        summed[part][2] + o["angular_impulse"],
+                                        summed[part][3] + o["mass_into_fluid"]]
+                    for a, e in zip(windowed._download_raw().values, plain._download_raw().values):
+                        same_bits(self, a, e)
+                out = windowed.read_exchange_window(0)
+                self.assertEqual((out["time_end"] - out["time_start"], out["sample_count"]),
+                                 (steps, 2 * steps))
+                self.assertEqual(substeps, 2 * steps)
+                bound = 4 * (count * substeps) * EPS * scale + 1e-300
+                for part in summed:
+                    o = out[part]
+                    got = np.array([o["impulse"][0], o["impulse"][1], o["angular_impulse"],
+                                    o["mass_into_fluid"]])
+                    diff = np.abs(got - np.array(summed[part]))
+                    self.assertTrue((diff <= bound).all(), f"{part}: {diff} > {bound}")
+                    np.testing.assert_array_equal(o["force"], o["impulse"] / steps)
+                again = windowed.read_exchange_window(0)
+                np.testing.assert_array_equal(again["total"]["impulse"], out["total"]["impulse"])
+                windowed.initialize(*arrays)
+                with self.assertRaises(RuntimeError):
+                    windowed.read_exchange_window(0)
+
+
+def audit_substeps(stepper, b, count, record):
+    """Wrap the level-1 step kernel: after BFL and accumulation, add |substep terms| to record."""
+    factors = np.array([.25, .25, .125, .25])
+    kernel = stepper._levels[1].kernel
+
+    def audited(src, dst, *args, **kw):
+        stepper._stream.synchronize()
+        raw = np.empty((count, 4), np.float32)
+        cuda.memcpy_dtoh(raw, b.last_raw)
+        record["scale"] = record["scale"] + (np.abs(raw.astype(np.float64)) * factors).sum(axis=0)
+        record["substeps"] += 1
+        kernel(src, dst, *args, **kw)
+    stepper._levels[1].kernel = audited
+
+
+def components(obs):
+    o = obs["total"]
+    return np.array([o["impulse"][0], o["impulse"][1], o["angular_impulse"], o["mass_into_fluid"]])
+
+
+class ExchangeWindowShiftedMRTGPU(unittest.TestCase):
+    """Shifted MRT, all-blocked, stationary body, NO Jet (scoped separately from SRT/Jet)."""
+
+    def test_window_step0_reset_and_split_step(self):
+        from test_raw_exchange_gpu import BOUNDS as RB, circle as rc, state
+        from CelerisLab.config import LBMConfig
+        from CelerisLab.cuda.context import CudaContext
+        cfg = LBMConfig(nx=32, ny=24, viscosity=.1, collision="MRT", ddf_shifting=True)
+        with CudaContext(0) as ctx:
+            kw = dict(context=ctx, refinements=[RB], level_blocks=[(12, 8), (16, 20)],
+                      level_objects=[(), (rc(),)], observe_raw_exchange=True)
+            with FixedPatchStepper(cfg, observe_window_exchange=True, **kw) as windowed, \
+                 FixedPatchStepper(cfg, observe_window_exchange=True, **kw) as split, \
+                 FixedPatchStepper(cfg, **kw) as plain:
+                arrays = [state(level.shape) for level in windowed._levels]
+                for run in (windowed, split, plain):
+                    run.initialize(*arrays)
+                    run.step(2)
+                    if run is not plain:
+                        run.start_exchange_window()
+                b = windowed._level_boundaries[1]
+                count = len(b.tables["cell"])
+                record = dict(scale=np.zeros(4), substeps=0)
+                audit_substeps(windowed, b, count, record)
+                steps, summed = 5, np.zeros(4)
+                for _ in range(steps):
+                    windowed.step(1)
+                    plain.step(1)
+                    summed += components(windowed.read_raw_exchange(0))
+                    for a, e in zip(windowed._download_raw().values, plain._download_raw().values):
+                        same_bits(self, a, e)
+                split.step(steps)  # one call: same ledger arithmetic as five step(1) calls
+                for a, e in zip(windowed._download_raw().values, split._download_raw().values):
+                    same_bits(self, a, e)
+                rows = [np.empty((count, 4), np.float64) for _ in range(2)]
+                cuda.memcpy_dtoh(rows[0], b.window_integral)
+                cuda.memcpy_dtoh(rows[1], split._level_boundaries[1].window_integral)
+                np.testing.assert_array_equal(rows[0].view(np.uint64), rows[1].view(np.uint64))
+
+                out = windowed.read_exchange_window(0)
+                self.assertEqual(record["substeps"], 2 * steps)
+                self.assertEqual((out["time_end"] - out["time_start"], out["sample_count"]),
+                                 (steps, 2 * steps))
+                bound = 4 * (count * record["substeps"]) * EPS * record["scale"] + 1e-300
+                diff = np.abs(components(out) - summed)
+                self.assertTrue((diff <= bound).all(), f"{diff} > {bound}")
+                np.testing.assert_array_equal(split.read_exchange_window(0)["total"]["impulse"],
+                                              out["total"]["impulse"])
+
+                windowed.step(0)  # no interval: window and its duration unchanged
+                again = windowed.read_exchange_window(0)
+                self.assertEqual(again["time_end"], out["time_end"])
+                np.testing.assert_array_equal(again["total"]["impulse"], out["total"]["impulse"])
+
+                windowed.start_exchange_window()  # reset after a window
+                with self.assertRaisesRegex(RuntimeError, "at least one completed"):
+                    windowed.read_exchange_window(0)
+                record.update(scale=np.zeros(4), substeps=0)
+                windowed.step(1)
+                single = components(windowed.read_raw_exchange(0))
+                reset = windowed.read_exchange_window(0)
+                self.assertEqual(reset["time_end"] - reset["time_start"], 1)
+                bound = 4 * (count * record["substeps"]) * EPS * record["scale"] + 1e-300
+                self.assertTrue((np.abs(components(reset) - single) <= bound).all())
+
+
+if __name__ == "__main__": unittest.main()
@@ -140,7 +140,8 @@ def run_patch(speed, *, audit=True):
        build = (patch.object(compiler, "compile_kernel", audit_compiler(compiler.compile_kernel))
                 if audit else nullcontext())
        with build:
-            backend = implementation.FixedPatchStepper(cfg, BOUNDS, context=context, fine_objects=[source])
+            backend = implementation.FixedPatchStepper(cfg, context=context, refinements=[BOUNDS],
+                                             level_objects=[(), (source,)])
        with backend, context.activate():
            c, f = backend._levels
            cl = backend._fine_curved
@@ -281,7 +282,8 @@ def test_fine_surface_four_hops(speed):
@pytest.mark.parametrize("missing", ["surface_velocity_gpu", "link_exchange_gpu"])
 def test_missing_surface_device_buffer_rejects_before_launch(missing):
    backend = implementation.FixedPatchStepper.__new__(implementation.FixedPatchStepper)
-    backend.fine_boundary = SimpleNamespace(objects=[object_spec(.002)])
+    backend._boundary_hosts = [None, SimpleNamespace(objects=[object_spec(.002)])]
+    backend._level_jets = [(), ()]
    backend._fine_curved = SimpleNamespace(fluid_idx_gpu=object(),
                                          surface_velocity_gpu=object(), link_exchange_gpu=object())
    setattr(backend._fine_curved, missing, None)
@@ -325,6 +327,7 @@ def test_cross_interface_donor_rejects_before_cuda():
    context.activate.side_effect = AssertionError("must reject before CUDA activation")
    with patch.object(cuda, "mem_alloc") as allocate:
        with pytest.raises(ValueError, match="donor crosses"):
-            implementation.FixedPatchStepper(cfg, BOUNDS, context=context, fine_objects=[source])
+            implementation.FixedPatchStepper(cfg, context=context, refinements=[BOUNDS],
+                                             level_objects=[(), (source,)])
        context.activate.assert_not_called()
        allocate.assert_not_called()
@@ -48,9 +48,8 @@ def make(context):
        for (x, y), amplitude in zip(centers, (.003, -.002))
    )
    run = FixedPatchStepper(
-        CFG, PARENTS, context=context, base_block=(4, 4), fine_block=(4, 4),
-        child_block=(4, 4), child_rectangles_in_parent=START,
-        child_objects=objects, child_jets=jets,
+        CFG, context=context, refinements=[PARENTS, START], level_blocks=[(4, 4)] * 3,
+        level_objects=[(), (), objects], level_jets=[(), (), jets],
    )
    return run, objects

@@ -25,9 +25,8 @@ B = ((16,16,32,40), (60,16,76,40))
 def make(ctx):
    body = SimObject(71, geometry=CircleGeometry(12.,14.,.8),center=(12.,14.),radius=.8)
    jet = Jet(Tube((10.5,14.),0.,3.,.3),Parallel(0.),'parabolic',.003)
-    run = FixedPatchStepper(CFG,PARENTS,context=ctx,base_block=(4,4),fine_block=(4,4),
-                           child_block=(4,4),child_rectangles_in_parent=A,
-                           child_objects=(body,),child_jets=(jet,))
+    run = FixedPatchStepper(CFG,context=ctx,refinements=[PARENTS,A],level_blocks=[(4,4)]*3,
+                           level_objects=[(),(),(body,)],level_jets=[(),(),(jet,)])
    return run,(body,)


@@ -90,14 +90,18 @@ def census(run, index, buffer):
    return totals(dense, leaf), external, independent


+
+def fine(block):
+    """Two-level circle+jet construction on BOUNDS; block None keeps the dense fine level."""
+    return dict(refinements=[BOUNDS], level_blocks=[None, block],
+                level_objects=[(), (circle(),)], level_jets=[(), (jet(),)])
+
 class RawExchangeGPU(unittest.TestCase):
    def test_row_ledger_interval_jet_switch_and_no_population_effect(self):
        with CudaContext(0) as ctx:
            for block in ((32, 40), (16, 20), (8, 10)):
-                with FixedPatchStepper(CFG, BOUNDS, context=ctx, fine_block=block,
-                        fine_objects=[circle()], jets=[jet()], observe_raw_exchange=True) as measured, \
-                     FixedPatchStepper(CFG, BOUNDS, context=ctx, fine_block=block,
-                        fine_objects=[circle()], jets=[jet()]) as plain:
+                with FixedPatchStepper(CFG, context=ctx, **fine(block), observe_raw_exchange=True) as measured, \
+                     FixedPatchStepper(CFG, context=ctx, **fine(block)) as plain:
                    arrays = [state(l.shape) for l in measured._levels]
                    measured.initialize(*arrays)
                    plain.initialize(*arrays)
@@ -146,9 +150,8 @@ class RawExchangeGPU(unittest.TestCase):
        """Same fine resolution/initial data with dense storage: a numerical
        reference for cut-link rows, not a uniform-whole-domain convergence study."""
        with CudaContext(0) as ctx:
-            with FixedPatchStepper(CFG, BOUNDS, context=ctx, fine_objects=[circle()], jets=[jet()]) as dense, \
-                 FixedPatchStepper(CFG, BOUNDS, context=ctx, fine_block=(16, 20),
-                    fine_objects=[circle()], jets=[jet()], observe_raw_exchange=True) as blocked:
+            with FixedPatchStepper(CFG, context=ctx, **fine(None)) as dense, \
+                 FixedPatchStepper(CFG, context=ctx, **fine((16, 20)), observe_raw_exchange=True) as blocked:
                arrays = [state(l.shape) for l in blocked._levels]
                dense.initialize(*arrays)
                blocked.initialize(*arrays)
@@ -229,8 +232,7 @@ class RawExchangeGPU(unittest.TestCase):
        layout = BlockLayout2D.build(48, 64, 8, 8)
        with CudaContext(0) as ctx:
            with PeriodicBlockStepper(fine_cfg, layout, context=ctx, objects=[obj]) as uniform, \
-                 FixedPatchStepper(CFG, BOUNDS, context=ctx, fine_block=(16, 20),
-                    fine_objects=[circle()], jets=[jet()], observe_raw_exchange=True) as amr:
+                 FixedPatchStepper(CFG, context=ctx, **fine((16, 20)), observe_raw_exchange=True) as amr:
                amr.initialize(*(state(l.shape) for l in amr._levels))
                uniform.initialize(state((9, 48, 64)))
                b = amr._level_boundaries[1]
@@ -83,11 +83,10 @@ def mocked_backend(mode="periodic", fail_alloc=None):
 class BlockedBaseCPU(unittest.TestCase):
    def test_reject_before_cuda(self):
        context = Mock(activate=Mock(side_effect=AssertionError("CUDA reached")))
-        for kwargs in ({"base_block": (12, 8)},
-                       {"base_block": (7, 8), "fine_block": FINE_BLOCK},
-                       {"base_block": (12,), "fine_block": FINE_BLOCK}):
-            with self.subTest(kwargs=kwargs), self.assertRaises(ValueError):
-                FixedPatchStepper(config("periodic"), BOUNDS, context=context, **kwargs)
+        for blocks in ([(12, 8), None], [(7, 8), FINE_BLOCK], [(12,), FINE_BLOCK]):
+            with self.subTest(blocks=blocks), self.assertRaises(ValueError):
+                FixedPatchStepper(config("periodic"), context=context, refinements=[BOUNDS],
+                                  level_blocks=blocks)
        context.activate.assert_not_called()

    def test_all_arrival_rows_donors_and_kind_masks(self):
@@ -193,9 +192,10 @@ class BlockedBaseCPU(unittest.TestCase):

    def test_launch_order_stream_wall_constants_and_buffer_swaps(self):
        with mocked_backend("slot_reservoir") as m:
-            backend = FixedPatchStepper(config("slot_reservoir"), BOUNDS, context=m["context"],
-                                        coarse_boundary="slot_reservoir", fine_block=FINE_BLOCK,
-                                        base_block=(3, 4), fine_objects=[circle(actuation(.002))])
+            backend = FixedPatchStepper(config("slot_reservoir"), context=m["context"],
+                                        coarse_boundary="slot_reservoir", refinements=[BOUNDS],
+                                        level_blocks=[(3, 4), FINE_BLOCK],
+                                        level_objects=[(), (circle(actuation(.002)),)])
            try:
                backend.initialize(state(NY, NX, 1), state(*backend.patch.fine_shape, 2))
                coarse, fine = backend._levels
@@ -223,6 +223,8 @@ class BlockedBaseCPU(unittest.TestCase):
                    self.assertIs(collide[4], coarse.kind)
                walls = [a for ptr, a in m["uploads"] if isinstance(ptr, str) and ptr == "d_block_wall"]
                self.assertEqual(len(walls), 1)
+                self.assertEqual([call.kwargs["block_root_bc"] for call in
+                                  compiler.generate_config.call_args_list], [1, 0])
                width, height, slot, speed = struct.unpack("=IIIf", walls[0])
                self.assertEqual((width, height, slot), (NX, NY, 8))
                self.assertAlmostEqual(speed, .001)
@@ -236,16 +238,16 @@ class BlockedBaseCPU(unittest.TestCase):
        for fail_at in (1, 6, 10):
            with self.subTest(fail_at=fail_at), mocked_backend(fail_alloc=fail_at) as m:
                with self.assertRaisesRegex(MemoryError, "injected allocation"):
-                    FixedPatchStepper(config("periodic"), BOUNDS, context=m["context"],
-                                      fine_block=FINE_BLOCK, base_block=(3, 4))
+                    FixedPatchStepper(config("periodic"), context=m["context"], refinements=[BOUNDS],
+                                      level_blocks=[(3, 4), FINE_BLOCK])
                self.assertEqual(len(m["allocations"]), fail_at)
                for allocation in m["allocations"]:
                    allocation.free.assert_called_once_with()

    def test_failed_parent_stage_cannot_publish_or_resume(self):
        with mocked_backend() as m:
-            backend = FixedPatchStepper(config("periodic"), BOUNDS, context=m["context"],
-                                        fine_block=FINE_BLOCK, base_block=(3, 4))
+            backend = FixedPatchStepper(config("periodic"), context=m["context"], refinements=[BOUNDS],
+                                        level_blocks=[(3, 4), FINE_BLOCK])
            backend.initialize(state(NY, NX, 1), state(*backend.patch.fine_shape, 2))
            m["functions"]["BlockCoalesce"].side_effect = RuntimeError("injected parent stage failure")
            current = backend._levels[0].current
@@ -289,9 +291,10 @@ class BlockedBaseGPU(unittest.TestCase):
                    for base_block in (None, *layouts):
                        label = f"{mode} width={width} speed={speed} base={base_block}"
                        snapshots = []
-                        with FixedPatchStepper(cfg, BOUNDS, context=context, coarse_boundary=mode,
-                                               fine_block=FINE_BLOCK, base_block=base_block,
-                                               fine_objects=() if speed is None else [circle(actuation(speed))]) as backend:
+                        with FixedPatchStepper(cfg, context=context, coarse_boundary=mode,
+                                               refinements=[BOUNDS], level_blocks=[base_block, FINE_BLOCK],
+                                               level_objects=[(), () if speed is None
+                                                              else (circle(actuation(speed)),)]) as backend:
                            backend.initialize(*arrays)
                            for step in (0, 1, 2, 8):
                                if step == 1 and base_block is not None:
@@ -105,9 +105,10 @@ class BlockedFineCPU(unittest.TestCase):
        return Mock(activate=Mock(side_effect=AssertionError("CUDA reached")), sm_arch="sm_70")

    def test_rejections_before_cuda(self):
-        for kw in ({"fine_block": (7, 7)}, {"fine_block": (16,)}):
+        for kw in ({"level_blocks": [None, (7, 7)]}, {"level_blocks": [None, (16,)]}):
            with self.subTest(kw=kw), self.assertRaises(ValueError):
-                FixedPatchStepper(config("periodic"), BOUNDS, context=self.forbidden_context(), **kw)
+                FixedPatchStepper(config("periodic"), context=self.forbidden_context(),
+                                  refinements=[BOUNDS], **kw)

    def test_single_block_layout_allocates_no_empty_halo_tables(self):
        # A 1x1 non-periodic fine layout has zero halo pairs; CUDA rejects mem_alloc(0).
@@ -125,8 +126,8 @@ class BlockedFineCPU(unittest.TestCase):
                patch.object(compiler, "compile_kernel"), patch.object(compiler, "cleanup_build_dir"), \
                patch.object(compiler, "load_module", return_value=module), \
                patch.object(cuda, "mem_alloc", side_effect=alloc), patch.object(cuda, "memcpy_htod"):
-            backend = FixedPatchStepper(config("periodic"), BOUNDS, context=context,
-                                        fine_block=FINE_BLOCKS[0])
+            backend = FixedPatchStepper(config("periodic"), context=context, refinements=[BOUNDS],
+                                        level_blocks=[None, FINE_BLOCKS[0]])
            self.assertEqual(len(backend.fine_layout.halo_dst), 0)
            self.assertIsNone(backend._levels[1].halo_dst)
            backend._gather_halo(backend._levels[1], Mock())  # no launch without pairs
@@ -177,8 +178,9 @@ class BlockedFineCPU(unittest.TestCase):
                patch.object(cuda, "mem_alloc", side_effect=lambda size: Mock()), \
                patch.object(cuda, "memcpy_htod"), \
                patch.object(curved_links, "CurvedLinkSoA", side_effect=AssertionError("dense SoA built")):
-            backend = FixedPatchStepper(config("periodic"), BOUNDS, context=context,
-                                        fine_objects=objects, fine_block=FINE_BLOCKS[1])
+            backend = FixedPatchStepper(config("periodic"), context=context, refinements=[BOUNDS],
+                                        level_blocks=[None, FINE_BLOCKS[1]],
+                                        level_objects=[(), tuple(objects)])
            backend.initialize(state(NY, NX, 1), state(*backend.patch.fine_shape, 2))
        return backend, calls

@@ -289,8 +291,9 @@ class BlockedFineGPU(unittest.TestCase):
            results = []
            with CudaContext(0) as context:
                for fine_block in (None, *FINE_BLOCKS):
-                    with FixedPatchStepper(cfg, BOUNDS, context=context, coarse_boundary=mode,
-                                           fine_block=fine_block) as backend:
+                    with FixedPatchStepper(cfg, context=context, coarse_boundary=mode,
+                                           refinements=[BOUNDS],
+                                           level_blocks=[None, fine_block]) as backend:
                        backend.initialize(g_coarse, g_fine)
                        backend.step(STEPS)
                        self.assertEqual(backend.step_count, STEPS)
@@ -318,8 +321,9 @@ class BlockedFineGPU(unittest.TestCase):
            results = []
            with CudaContext(0) as context:
                for fine_block in (None, *FINE_BLOCKS):
-                    with FixedPatchStepper(cfg, BOUNDS, context=context, coarse_boundary=mode,
-                                           fine_objects=[circle()], fine_block=fine_block) as backend:
+                    with FixedPatchStepper(cfg, context=context, coarse_boundary=mode,
+                                           refinements=[BOUNDS], level_blocks=[None, fine_block],
+                                           level_objects=[(), (circle(),)]) as backend:
                        backend.initialize(g_coarse, g_fine)
                        backend.step(STEPS)
                        results.append((backend.download(), raw(backend)))
@@ -346,9 +350,9 @@ class BlockedFineGPU(unittest.TestCase):
                results = []
                with CudaContext(0) as context:
                    for fine_block in (None, *FINE_BLOCKS):
-                        with FixedPatchStepper(cfg, BOUNDS, context=context, coarse_boundary=mode,
-                                               fine_objects=[circle(actuation(speed))],
-                                               fine_block=fine_block) as backend:
+                        with FixedPatchStepper(cfg, context=context, coarse_boundary=mode,
+                                               refinements=[BOUNDS], level_blocks=[None, fine_block],
+                                               level_objects=[(), (circle(actuation(speed)),)]) as backend:
                            backend.initialize(g_coarse, g_fine)
                            backend.step(STEPS)
                            results.append((backend.download(), raw(backend)))
@@ -94,7 +94,8 @@ class FaultGuardsCPU(unittest.TestCase):
                             ("slot_reservoir", (12, 4, 20, 21))):
            with self.subTest(mode=mode, bounds=bounds):
                with self.assertRaises(ValueError):
-                    implementation.FixedPatchStepper(cfg, bounds, context=context, coarse_boundary=mode)
+                    implementation.FixedPatchStepper(cfg, context=context, coarse_boundary=mode,
+                                                     refinements=[bounds])
                context.activate.assert_not_called()
        # Both exact channel limits and the original periodic two-cell margin
        # must reach context activation, with no allocation or device required.
@@ -102,11 +103,14 @@ class FaultGuardsCPU(unittest.TestCase):
                             ("periodic", (2, 2, 6, 5))):
            with self.subTest(mode=mode, bounds=bounds):
                with self.assertRaisesRegex(RuntimeError, "validated before CUDA"):
-                    implementation.FixedPatchStepper(cfg, bounds, context=context, coarse_boundary=mode)
+                    implementation.FixedPatchStepper(cfg, context=context, coarse_boundary=mode,
+                                                     refinements=[bounds])

    def fake_backend(self):
        backend = PeriodicPatchStepper.__new__(PeriodicPatchStepper)
-        backend.fine_layout = None  # dense fine storage
+        backend._layouts = [None, None]  # dense storage on both levels
+        backend._ddf_shifting = False  # unshifted on every level, as _check_storage expects
+        backend._level_cfgs = [LBMConfig(nx=16, ny=16, viscosity=.1)] * 2  # ddf_shifting off
        backend.ctx = Mock(activate=nullcontext)
        backend._lock = RLock()
        backend._status = "ready"
@@ -154,12 +158,23 @@ class FaultGuardsCPU(unittest.TestCase):
        context = Mock(activate=nullcontext, sm_arch="sm_70")
        with patch.object(implementation, "HALO", 2):
            with self.assertRaisesRegex(RuntimeError, "four-cell"):
-                PeriodicPatchStepper(cfg, (4, 4, 12, 12), context=context)
+                PeriodicPatchStepper(cfg, context=context, refinements=[(4, 4, 12, 12)])
        p = implementation.FixedPatch2D.from_config(cfg, (4, 4, 12, 12))
-        with patch.object(cuda, "Stream"), patch.object(implementation.FixedPatch2D, "from_config",
-                                                       return_value=replace(p, tau_coarse=.9)):
-            with self.assertRaisesRegex(RuntimeError, "omega/tau"):
-                PeriodicPatchStepper(cfg, p.bounds, context=context)
+        from CelerisLab.lbm import hierarchy
+        bad = patch.object(implementation.FixedPatch2D, "from_config",
+                           return_value=replace(p, tau_coarse=.9))
+        # A pair tau inconsistent with its level config is rejected twice over, both before
+        # any device allocation or upload: first by the hierarchy chain check, and, if that
+        # is bypassed, by the per-level omega/tau check in _build_level.
+        with patch.object(cuda, "Stream"), bad, patch.object(cuda, "mem_alloc") as alloc, \
+                patch.object(cuda, "memcpy_htod") as upload:
+            with self.assertRaisesRegex(RuntimeError, "config chain is inconsistent"):
+                PeriodicPatchStepper(cfg, context=context, refinements=[p.bounds])
+            with patch.object(hierarchy, "_check_chain"), \
+                    self.assertRaisesRegex(RuntimeError, "omega/tau"):
+                PeriodicPatchStepper(cfg, context=context, refinements=[p.bounds])
+            alloc.assert_not_called()
+            upload.assert_not_called()
        module = Mock()
        module.get_global.return_value = (Mock(), 16)
        with patch.object(cuda, "Stream"), patch.object(compiler, "generate_config"), \
@@ -167,7 +182,7 @@ class FaultGuardsCPU(unittest.TestCase):
                patch.object(compiler, "load_module", return_value=module), \
                patch.object(cuda, "memcpy_htod") as upload:
            with self.assertRaisesRegex(RuntimeError, "layout mismatch"):
-                PeriodicPatchStepper(cfg, p.bounds, context=context)
+                PeriodicPatchStepper(cfg, context=context, refinements=[p.bounds])
            upload.assert_not_called()


@@ -241,7 +256,7 @@ class NormalBuildGPU(unittest.TestCase):
        max_error = max_bc_error = 0.0
        with CudaContext(0) as context:
            with patch.object(compiler, "generate_config", side_effect=record_config):
-                backend = implementation.FixedPatchStepper(cfg, bounds, context=context,
+                backend = implementation.FixedPatchStepper(cfg, context=context, refinements=[bounds],
                                                            coarse_boundary="slot_reservoir")
            with backend:
                self.assertEqual(len(generated), 2)
@@ -311,7 +326,8 @@ class NormalBuildGPU(unittest.TestCase):
                            for a in (initial.coarse_f, initial.fine_f)))
        max_pop = max_drift = max_moment = 0.0
        with CudaContext(0) as context, PeriodicPatchStepper(
-                LBMConfig(nx=16, ny=16, viscosity=.1), (4, 4, 12, 12), context=context) as backend:
+                LBMConfig(nx=16, ny=16, viscosity=.1), context=context,
+                refinements=[(4, 4, 12, 12)]) as backend:
            backend.initialize(*postcollision(state, spec, maps))
            before = totals(backend.download(), maps)
            for step in range(1, 9):
@@ -342,7 +358,7 @@ class NormalBuildGPU(unittest.TestCase):
        fine_mask[4:-4, 4:-4] = True
        initial[1][:, ~fine_mask] = np.nan
        expected = scalar_interval(*[a.astype(np.float64) for a in initial], bounds)
-        with CudaContext(0) as context, PeriodicPatchStepper(cfg, bounds, context=context) as backend:
+        with CudaContext(0) as context, PeriodicPatchStepper(cfg, context=context, refinements=[bounds]) as backend:
            self.assertEqual(backend.patch.fine_shape, (14, 16))
            p = backend.patch
            allocated = 2 * 9 * (17*13+16*14) * 4 + sum(a.nbytes for a in
@@ -7,6 +7,7 @@ At most eight coarse steps per case. No files, plots or flow arrays are saved.
 import hashlib
 import importlib.util
 from contextlib import nullcontext
+from dataclasses import replace
 from pathlib import Path
 import resource
 import sys
@@ -21,7 +22,7 @@ import CelerisLab
 from CelerisLab.config import LBMConfig
 from CelerisLab.cuda import compiler_v2 as compiler
 from CelerisLab.cuda.context import CudaContext
-from CelerisLab.lbm.refinement_stepper import PeriodicPatchStepper
+from CelerisLab.lbm.refinement_stepper import FixedPatchStepper, PeriodicPatchStepper

 ROOT = Path(__file__).resolve().parents[3]
 POP_ATOL = 3e-6
@@ -60,6 +61,69 @@ def global_array(module, name, shape):


 class CoupledGPU(unittest.TestCase):
+    def test_actual_tg_rates_one_interval(self):
+        """Algebraic rate/phase check, not a new physical Taylor--Green benchmark.
+
+        The N64/Re100 TG rates are exercised on the existing small patch with
+        a nonequilibrium state. One interval checks g=C(f), including the
+        shifted blocked path; no accuracy gate or production source changes.
+        """
+        self.assertEqual(Path(CelerisLab.__file__).resolve(), ROOT / "src/CelerisLab/__init__.py")
+        self.assertEqual(Path(compiler._KERNEL_DIR).resolve(), ROOT / "src/CelerisLab/lbm/kernels")
+        spec = replace(ref.make_spec(collision="srt"),
+                       tau_coarse=.5576, tau_fine=.6152)
+        maps = ref.build_maps(spec)
+        state = ref.make_state(spec, velocity=(.03, -.02))
+        rng = np.random.default_rng(1)
+        state = ref.State(*(a * (1 + 1e-3 * rng.standard_normal(a.shape))
+                            for a in (state.coarse_f, state.fine_f)))
+        initial = postcollision(state, spec, maps)
+        next_state, _ = ref.advance_coarse_once(spec, maps, state)
+        expected = postcollision(next_state, spec, maps)
+        arrivals = (next_state.coarse_f, next_state.fine_f)
+
+        cases = (("dense_unshifted", False, {}),
+                 ("blocked_shifted", True,
+                  dict(level_blocks=[(4, 4), (6, 6)])))
+        with CudaContext(0) as context:
+            for label, shifted, storage in cases:
+                with self.subTest(storage=label):
+                    cfg = LBMConfig(nx=16, ny=16, viscosity=.0192,
+                                    ddf_shifting=shifted)
+                    with FixedPatchStepper(cfg, context=context, refinements=[(4, 4, 12, 12)],
+                                           **storage) as backend:
+                        self.assertAlmostEqual(backend.patch.tau_coarse, spec.tau_coarse)
+                        self.assertAlmostEqual(backend.patch.tau_fine, spec.tau_fine)
+                        self.assertEqual(tuple(level.shape for level in backend._levels),
+                                         ((9, 16, 16), (9, 24, 24)))
+                        # Physical FP64 g is encoded by initialize before FP32 rounding.
+                        backend.initialize(*initial)
+                        before = totals(backend.download(), maps)
+                        backend.step(1)
+                        actual = backend.download()
+                        self.assertEqual(backend.step_count, 1)
+                        backend.patch.check_synchronization(
+                            1, next_state.tick, phase="postcollision_g")
+                        for got, want, arrival in zip(actual, expected, arrivals):
+                            np.testing.assert_array_equal(np.isnan(got), np.isnan(want))
+                            np.testing.assert_allclose(got, want, rtol=0, atol=POP_ATOL,
+                                                       equal_nan=True)
+                            # A raw arrival-f comparison must fail on BOTH levels.
+                            # Equilibrium-only data would make this control vacuous.
+                            with self.assertRaises(AssertionError):
+                                np.testing.assert_allclose(got, arrival, rtol=0,
+                                                           atol=POP_ATOL, equal_nan=True)
+                        np.testing.assert_allclose(totals(actual, maps), before,
+                                                   rtol=0, atol=MOMENT_ATOL)
+                        np.testing.assert_allclose(totals(actual, maps),
+                                                   totals(expected, maps),
+                                                   rtol=0, atol=MOMENT_ATOL)
+                        error = max(float(np.nanmax(np.abs(a - e)))
+                                    for a, e in zip(actual, expected))
+                        print(f"actual-TG-rate algebraic check: {label} steps=1 "
+                              f"tau=.5576/.6152 max_population={error:.9g}; "
+                              "wrong-phase controls PASS", flush=True)
+
    def test_cleanup_attempts_every_allocation(self):
        backend = PeriodicPatchStepper.__new__(PeriodicPatchStepper)
        backend.ctx = Mock(activate=nullcontext)
@@ -84,7 +148,7 @@ class CoupledGPU(unittest.TestCase):
        maps = ref.build_maps(spec)
        with CudaContext(0) as context:
            with PeriodicPatchStepper(LBMConfig(nx=16, ny=16, viscosity=.1),
-                                      (4, 4, 12, 12), context=context) as backend:
+                                      context=context, refinements=[(4, 4, 12, 12)]) as backend:
                backend.initialize(*postcollision(ref.make_state(spec), spec, maps))
                coarse, fine = backend._levels

@@ -123,7 +187,7 @@ class CoupledGPU(unittest.TestCase):

        with CudaContext(0) as context:
            with patch.object(compiler, "compile_kernel", audit_compile):
-                backend = PeriodicPatchStepper(cfg, (4, 4, 12, 12), context=context)
+                backend = PeriodicPatchStepper(cfg, context=context, refinements=[(4, 4, 12, 12)])
            with backend:
                # Production allocations: four DDF arrays and four compact tables.
                device_bytes = 2 * 9 * (16**2 + 24**2) * 4
@@ -206,7 +270,7 @@ class CoupledGPU(unittest.TestCase):
                backend.download()

            # Compile and execute the actual non-audited entry as well: one step.
-            with PeriodicPatchStepper(cfg, (4, 4, 12, 12), context=context) as plain:
+            with PeriodicPatchStepper(cfg, context=context, refinements=[(4, 4, 12, 12)]) as plain:
                rest = postcollision(ref.make_state(spec), spec, maps)
                plain.initialize(*rest)
                plain.step()
@@ -41,8 +41,9 @@ def mocked(objects, jets, fine_block):
            patch.object(compiler, "load_module", return_value=module), \
            patch.object(cuda, "mem_alloc", side_effect=lambda size: Mock()), \
            patch.object(cuda, "memcpy_htod", htod):
-        backend = FixedPatchStepper(config("periodic"), BOUNDS, context=context,
-                                    fine_objects=objects, fine_block=fine_block, jets=jets)
+        backend = FixedPatchStepper(config("periodic"), context=context, refinements=[BOUNDS],
+                                    level_blocks=[None, fine_block], level_objects=[(), tuple(objects)],
+                                    level_jets=[(), tuple(jets)])
    return backend, htod


@@ -149,8 +150,9 @@ class JetStepperCPU(unittest.TestCase):
    def test_jet_overlapping_legacy_aperture_rejected_before_cuda(self):
        with patch.object(cuda, "Stream", side_effect=AssertionError("CUDA touched")):
            with self.assertRaisesRegex(ValueError, "SurfaceActuation"):
-                FixedPatchStepper(config("periodic"), BOUNDS, context=Mock(),
-                                  fine_objects=[circle(actuation(SPEED))], jets=[jet()])
+                FixedPatchStepper(config("periodic"), context=Mock(), refinements=[BOUNDS],
+                                  level_objects=[(), (circle(actuation(SPEED)),)],
+                                  level_jets=[(), (jet(),)])


 def run(mode, fine_block, *, objects, jets, switch=None):
@@ -158,8 +160,9 @@ def run(mode, fine_block, *, objects, jets, switch=None):
    cfg = config(mode)
    patch_ = FixedPatch2D.from_config(cfg, BOUNDS)
    with CudaContext(0) as context, FixedPatchStepper(
-            cfg, BOUNDS, context=context, coarse_boundary=mode, fine_objects=objects,
-            fine_block=fine_block, jets=jets) as backend:
+            cfg, context=context, coarse_boundary=mode, refinements=[BOUNDS],
+            level_blocks=[None, fine_block], level_objects=[(), tuple(objects)],
+            level_jets=[(), tuple(jets)]) as backend:
        backend.initialize(state(NY, NX, 1), state(*patch_.fine_shape, 2))
        if switch is None:
            backend.step(STEPS)
@@ -0,0 +1,96 @@
+"""MRT reuse GPU gates. Caller owns GPU admission (CUDA_VISIBLE_DEVICES).
+
+Run: python -m unittest discover -s tests/validation/multigrid -p test_refinement_mrt_gpu.py
+Parity compares the blocked MRT channel root with uniform MRT OneStep: the existing
+pressure-NEQ outlet branch differs by collision model, so SRT is never the reference.
+AMR checks are finite-evolution/split-invariance smoke tests, not benchmark validation.
+"""
+from dataclasses import replace
+import unittest
+import numpy as np
+
+from CelerisLab.config import LBMConfig
+from CelerisLab.cuda.context import CudaContext
+from CelerisLab.lbm.population_storage import _encode_physical
+from CelerisLab.lbm.refinement_stepper import FixedPatchStepper
+from test_channel_root_gpu import run_root, state
+from test_refinement_blocked_base import raw, exact
+
+
+class RefinementMRTGPU(unittest.TestCase):
+    def test_uniform_matched_mrt_root(self):
+        with CudaContext(0) as context:
+            for shifted in (False, True):
+                for profile in ("uniform", "parabolic"):
+                    cfg = LBMConfig(nx=24, ny=20, viscosity=.1, velocity=.025, collision="MRT",
+                                    ddf_shifting=shifted, inlet_profile=profile)
+                    initial = _encode_physical(state(cfg.ny, cfg.nx), shifted)
+                    expected = run_root(cfg, context, initial)
+                    self.assertTrue(np.isfinite(expected).all())
+                    for block in ((20, 24), (5, 6), (4, 1)):
+                        np.testing.assert_array_equal(run_root(cfg, context, initial, block), expected)
+
+    def test_amr_mrt_smoke(self):
+        from CelerisLab.body.geometry.circle import CircleGeometry
+        from CelerisLab.body.objects import SimObject
+        center = (24., 16.)
+        body = SimObject(0, geometry=CircleGeometry(*center, 2.15), center=center, radius=2.15)
+        with CudaContext(0) as context:
+            for boundary in ("periodic", "channel"):
+                for shifted in (False, True):
+                    cfg = LBMConfig(nx=48, ny=32, viscosity=.1, velocity=.015 if boundary == "channel" else 0.,
+                                    collision="MRT", ddf_shifting=shifted)
+                    reference = None
+                    for block in ((32, 48), (8, 8), (4, 1)):
+                        with FixedPatchStepper(cfg, context=context, coarse_boundary=boundary,
+                                               refinements=[(8, 6, 40, 26)], level_blocks=[block, (8, 8)],
+                                               level_objects=[(), (body,)]) as backend:
+                            backend.initialize(*[state(*level.shape[1:]) for level in backend._levels])
+                            backend.step(8)
+                            raw = backend._download_raw()
+                            for a, mask in zip(raw.values, backend._state):
+                                self.assertTrue(np.isfinite(a[:, mask]).all())
+                            if reference is None: reference = raw.values
+                            else:
+                                for a, b in zip(reference, raw.values): np.testing.assert_array_equal(a, b)
+
+    def test_dense_versus_blocked_mrt_two_level(self):
+        """Unshifted MRT: all-dense PatchCoarseStep/PatchFineStep vs mixed/all-blocked storage."""
+        from test_refinement_blocked_base import BASE_BLOCKS, FINE_BLOCK
+        from test_refinement_blocked_fine import NX, NY, BOUNDS
+        import test_refinement_blocked_fine as fixture
+        cfg = LBMConfig(nx=NX, ny=NY, viscosity=.1, collision="MRT")
+        with CudaContext(0) as context:
+            results = {}
+            layouts = ((None, None), *((base, FINE_BLOCK) for base in (None, *BASE_BLOCKS)))
+            for base_block, fine_block in layouts:
+                with FixedPatchStepper(cfg, context=context, refinements=[BOUNDS],
+                                       level_blocks=[base_block, fine_block]) as backend:
+                    backend.initialize(*[fixture.state(*level.shape[1:], seed) for seed, level in enumerate(backend._levels)])
+                    backend.step(4)
+                    results[base_block, fine_block] = raw(backend)
+            for layout in layouts[1:]:
+                for level, (a, b) in enumerate(zip(results[layout], results[None, None])):
+                    exact(self, a, b, f"layout={layout} level={level}")
+
+    def test_shifted_all_blocked_three_level_mrt_smoke(self):
+        """Per-level shear rate omega_l = 1/(3*2**l*nu + 1/2); finite ACTIVE leaves."""
+        cfg = LBMConfig(nx=16, ny=16, viscosity=.1, collision="MRT", ddf_shifting=True)
+        kw = dict(refinements=[(4, 4, 12, 12), (8, 8, 16, 16)], level_blocks=[(4, 4)] * 3)
+        with CudaContext(0) as context:
+            with FixedPatchStepper(cfg, context=context, **kw) as backend:
+                self.assertEqual(len(backend._level_cfgs), 3)
+                for level, level_cfg in enumerate(backend._level_cfgs):
+                    checked = replace(level_cfg)
+                    checked.validate()  # omega is derived only by validate()
+                    self.assertEqual(checked.collision, "MRT")
+                    self.assertTrue(checked.ddf_shifting)
+                    self.assertTrue(np.isclose(checked.omega, 1 / (3 * 2**level * .1 + .5), rtol=1e-14))
+                backend.initialize(*[state(*level.shape[1:]) for level in backend._levels])
+                backend.step(4)
+                values = backend._download_raw().values
+                for a, mask in zip(values, backend._state):
+                    self.assertTrue(np.isfinite(a[:, mask]).all())
+
+
+if __name__ == "__main__": unittest.main()
@@ -26,6 +26,12 @@ FACE = ((4, 4, 8, 12), (12, 4, 16, 12))
 S1 = ((4, 4, 12, 12), (20, 4, 28, 12))


+def levels(bounds, blocks=(None, None), objects=(), jets=(), **rest):
+    """Two-level constructor keywords: one L1 rectangle or set, per-level blocks, L1 bodies/Jets."""
+    return dict(refinements=[bounds], level_blocks=list(blocks),
+                level_objects=[(), tuple(objects)], level_jets=[(), tuple(jets)], **rest)
+
+
 def level_fine(patch_set, windows):
    """Level-wide fine array with each patch window filled from `windows`."""
    out = np.full((9, *patch_set.fine_shape), np.nan, np.float32)
@@ -45,21 +51,21 @@ class MultipatchCPU(unittest.TestCase):
    def test_rejections_before_cuda(self):
        cfg = config("periodic")
        context = object()  # never activated: every case must fail first
-        for kw in (dict(), dict(fine_block=(8, 4)), dict(base_block=(4, 4)),
-                   dict(fine_block=(8, 4), base_block=(4, 4), fine_objects=[circle()]),
-                   dict(fine_block=(5, 4), base_block=(4, 4))):
+        for kw in (dict(), dict(blocks=(None, (8, 4))), dict(blocks=((4, 4), None)),
+                   dict(blocks=((4, 4), (8, 4)), objects=[circle()]),
+                   dict(blocks=((4, 4), (5, 4)))):
            with self.subTest(kw=kw), self.assertRaises(ValueError):
-                FixedPatchStepper(cfg, ((4, 4, 8, 12), (14, 4, 18, 12)), context=context, **kw)
+                FixedPatchStepper(cfg, context=context, **levels(((4, 4, 8, 12), (14, 4, 18, 12)), **kw))
        with self.assertRaisesRegex(ValueError, "margin"):
-            FixedPatchStepper(cfg, ((1, 4, 8, 12), (10, 4, 14, 12)), context=context,
-                              fine_block=(8, 4), base_block=(4, 4))
+            FixedPatchStepper(cfg, context=context,
+                              **levels(((1, 4, 8, 12), (10, 4, 14, 12)), blocks=((4, 4), (8, 4))))
        from CelerisLab.body.jets import Jet, Parallel, Tube
        cfg32 = LBMConfig(nx=32, ny=16, viscosity=.1)
        span = Jet(Tube((5., 8.), 0., 22., .6), Parallel(0.), amplitude=0.)
        with self.assertRaisesRegex(ValueError, "one jet"):  # same obj_id cannot bypass it
-            FixedPatchStepper(cfg32, ((2, 2, 14, 14), (18, 2, 30, 14)), context=context,
-                              fine_block=(4, 4), base_block=(4, 4),
-                              fine_objects=[body(8., 8.), body(24., 8.)], jets=[span])
+            FixedPatchStepper(cfg32, context=context,
+                              **levels(((2, 2, 14, 14), (18, 2, 30, 14)), blocks=((4, 4), (4, 4)),
+                                       objects=[body(8., 8.), body(24., 8.)], jets=[span]))


 class MultipatchGPU(unittest.TestCase):
@@ -67,7 +73,7 @@ class MultipatchGPU(unittest.TestCase):

    def run_steps(self, context, cfg, bounds, coarse, fine, **kw):
        out = []
-        with FixedPatchStepper(cfg, bounds, context=context, **kw) as backend:
+        with FixedPatchStepper(cfg, context=context, **levels(bounds, **kw)) as backend:
            backend.initialize(coarse, fine)
            for step in self.STEPS:
                backend.step(step - backend.step_count)
@@ -82,7 +88,7 @@ class MultipatchGPU(unittest.TestCase):
                p = FixedPatch2D.from_config(cfg, BOUNDS)
                s = FixedPatchSet2D.from_config(cfg, (BOUNDS,))
                coarse, fine = state(NY, NX, 1), state(*p.fine_shape, 2)
-                kw = dict(coarse_boundary=mode, fine_block=(8, 4), base_block=(3, 4))
+                kw = dict(coarse_boundary=mode, blocks=((3, 4), (8, 4)))
                old = self.run_steps(context, cfg, BOUNDS, coarse, fine, **kw)
                new = self.run_steps(context, cfg, (BOUNDS,), coarse, level_fine(s, [fine]), **kw)
                for step, a, b in zip(self.STEPS, old, new):
@@ -99,7 +105,7 @@ class MultipatchGPU(unittest.TestCase):
        one = FixedPatchSet2D.from_config(cfg16, (S1[0],))
        two = FixedPatchSet2D.from_config(cfg32, S1)
        coarse, fine = state(16, 16, 3), state(*one.patches[0].fine_shape, 4)
-        kw = dict(fine_block=(4, 4), base_block=(4, 4))
+        kw = dict(blocks=((4, 4), (4, 4)))
        with CudaContext(0) as context:
            ref = self.run_steps(context, cfg16, (S1[0],), coarse, level_fine(one, [fine]), **kw)
            tiled = np.concatenate([coarse, coarse], axis=2)
@@ -118,7 +124,7 @@ class MultipatchGPU(unittest.TestCase):
        s = FixedPatchSet2D.from_config(cfg, FACE)
        coarse = state(16, 24, 5)
        fine = level_fine(s, [state(*p.fine_shape, 6 + i) for i, p in enumerate(s.patches)])
-        kw = dict(fine_block=(4, 4), base_block=(4, 4))
+        kw = dict(blocks=((4, 4), (4, 4)))
        leaf = s.fine_kind == ACTIVE
        support = s.fine_layout((4, 4)).owned
        outer = support & (s.fine_kind == OUTER_GHOST)
@@ -164,7 +170,7 @@ class MultipatchBodiesGPU(unittest.TestCase):

    def run_steps(self, context, cfg, bounds, coarse, fine, switch=None, **kw):
        out = []
-        with FixedPatchStepper(cfg, bounds, context=context, **kw) as backend:
+        with FixedPatchStepper(cfg, context=context, **levels(bounds, **kw)) as backend:
            backend.initialize(coarse, fine)
            for step in self.STEPS:
                if switch is not None and step == 8:
@@ -182,8 +188,7 @@ class MultipatchBodiesGPU(unittest.TestCase):
                p = FixedPatch2D.from_config(cfg, BOUNDS)
                s = FixedPatchSet2D.from_config(cfg, (BOUNDS,))
                coarse, fine = state(NY, NX, 1), state(*p.fine_shape, 2)
-                kw = dict(coarse_boundary=mode, fine_block=(8, 4), base_block=(3, 4),
-                          fine_objects=[circle()])
+                kw = dict(coarse_boundary=mode, blocks=((3, 4), (8, 4)), objects=[circle()])
                old = self.run_steps(context, cfg, BOUNDS, coarse, fine, **kw)
                new = self.run_steps(context, cfg, (BOUNDS,), coarse, level_fine(s, [fine]), **kw)
                for step, a, b in zip(self.STEPS, old, new):
@@ -202,17 +207,17 @@ class MultipatchBodiesGPU(unittest.TestCase):
        two = FixedPatchSet2D.from_config(cfg32, self.PATCHES)
        coarse, fine = state(16, 16, 3), state(*one.patches[0].fine_shape, 4)
        jet = lambda x: Jet(Tube((x, 8.), 0., 6., .6), Parallel(0.), amplitude=.002)
-        kw = dict(fine_block=(4, 4), base_block=(4, 4))
+        kw = dict(blocks=((4, 4), (4, 4)))
        with CudaContext(0) as context:
            for jets in ((), (jet(5.),)):
                ref = self.run_steps(context, cfg16, self.PATCHES[:1], coarse, level_fine(one, [fine]),
                                     switch=[(0, -.001)] if jets else None,
-                                     fine_objects=[body(8., 8.)], jets=jets, **kw)
+                                     objects=[body(8., 8.)], jets=jets, **kw)
                both = jets and (jet(5.), jet(21.))
                got = self.run_steps(context, cfg32, self.PATCHES, np.concatenate([coarse, coarse], 2),
                                     level_fine(two, [fine, fine]),
                                     switch=[(0, -.001), (1, -.001)] if jets else None,
-                                     fine_objects=[body(8., 8., 5), body(24., 8., 5)],
+                                     objects=[body(8., 8., 5), body(24., 8., 5)],
                                     jets=both or (), **kw)
                for step, a, b in zip(self.STEPS, ref, got):
                    label = f"jets={len(jets)} step {step}"
@@ -27,7 +27,16 @@ from test_refinement_blocked_base import raw

 CFG = LBMConfig(nx=16, ny=16, viscosity=.1)
 L1, L2 = (4, 4, 12, 12), (8, 8, 16, 16)
-KW = dict(fine_block=(4, 4), base_block=(4, 4), child=L2, child_block=(4, 4))
+B = (4, 4)
+
+
+def levels(l1=L1, l2=L2, blocks=(B, B, B), objects=((), (), ()), jets=((), (), ())):
+    """Level-list keywords for the scalar L1 patch with one scalar L2 child."""
+    return dict(refinements=[l1, l2], level_blocks=list(blocks),
+                level_objects=list(objects), level_jets=list(jets))
+
+
+KW = levels()


 def child_body(spec=None):
@@ -52,26 +61,29 @@ def mocked_child():
            patch.object(compiler, "load_module", return_value=module), \
            patch.object(cuda, "mem_alloc", side_effect=lambda size: Mock()), \
            patch.object(cuda, "memcpy_htod"):
-        return FixedPatchStepper(CFG, L1, context=context, child_objects=[child_body()],
-                                 child_jets=[child_jet()], **KW)
+        return FixedPatchStepper(CFG, context=context,
+                                 **levels(objects=((), (), (child_body(),)), jets=((), (), (child_jet(),))))


 class ThreeLevelCPU(unittest.TestCase):
    def test_rejections_before_cuda(self):
        context = object()  # never activated: every case must fail first
-        bad = (dict(KW, child_block=None), dict(KW, fine_block=None),
-               dict(KW, fine_objects=[circle()]), dict(KW, child=(4, 8, 16, 16)),
-               dict(KW, child_block=(5, 4)))
+        bad = (levels(blocks=(B, B, None)), levels(blocks=(B, None, B)),
+               levels(objects=((), (circle(),), ())), levels(l2=(4, 8, 16, 16)),
+               levels(blocks=(B, B, (5, 4))))
        for kw in bad:
            with self.subTest(kw=kw), self.assertRaises(ValueError):
-                FixedPatchStepper(CFG, L1, context=context, **kw)
-        for kw in (dict(child_objects=[child_body()]), dict(child_jets=[child_jet()]),
-                   dict(KW, child_jets=[child_jet()])):
+                FixedPatchStepper(CFG, context=context, **kw)
+        # L2 bodies/Jets without an L2 level (one entry too many), and an L2 Jet without a body.
+        two_level = dict(refinements=[L1], level_blocks=[None, None])
+        for kw in (dict(two_level, level_objects=[(), (), (child_body(),)]),
+                   dict(two_level, level_jets=[(), (), (child_jet(),)]),
+                   levels(jets=((), (), (child_jet(),)))):
            with self.assertRaises(ValueError):
-                FixedPatchStepper(CFG, L1, context=context, **kw)
-        with self.assertRaises(ValueError):  # several L1 patches + child: not yet
-            FixedPatchStepper(LBMConfig(nx=32, ny=16, viscosity=.1), ((4, 4, 12, 12), (20, 4, 28, 12)),
-                              context=context, **KW)
+                FixedPatchStepper(CFG, context=context, **kw)
+        with self.assertRaises(ValueError):  # several L1 patches + scalar child: not yet
+            FixedPatchStepper(LBMConfig(nx=32, ny=16, viscosity=.1), context=context,
+                              **levels(l1=((4, 4, 12, 12), (20, 4, 28, 12))))


    def test_four_halo_bfl_steps_and_fresh_middle_feeds(self):
@@ -80,11 +92,12 @@ class ThreeLevelCPU(unittest.TestCase):
        f, g = run._levels[1:]
        b = g.boundary
        events, feeds = [], []
-        advance, gather = run._advance_child, run._gather_halo
-        def record_feed(buffer, **kw):
-            self.assertIs(buffer, (f.current, f.spare)[len(feeds)])
-            feeds.append(buffer)
-            advance(buffer, **kw)
+        advance, gather = run._advance, run._gather_halo
+        def record_feed(index, buffer, **kw):  # index 2: L1 hop feeds L2
+            if index == 2:
+                self.assertIs(buffer, (f.current, f.spare)[len(feeds)])
+                feeds.append(buffer)
+            advance(index, buffer, **kw)
        def record_halo(level, buffer, **kw):
            if level is g:
                events.append(("halo", buffer))
@@ -95,7 +108,7 @@ class ThreeLevelCPU(unittest.TestCase):
            self.assertIs(kind, g.kind)
            events.append(("step", src))
        g.kernel.side_effect = record_step
-        with patch.object(run, "_advance_child", side_effect=record_feed), \
+        with patch.object(run, "_advance", side_effect=record_feed), \
                patch.object(run, "_gather_halo", side_effect=record_halo):
            run.step()
        self.assertEqual(feeds, [f.current, f.spare])
@@ -105,8 +118,8 @@ class ThreeLevelCPU(unittest.TestCase):
        self.assertGreater(len(np.unique(b.tables["block"])), 1)
        # Negative control: reusing L1's old source at the midpoint must fail.
        feeds.clear()
-        with patch.object(run, "_advance_child", side_effect=lambda buffer, **kw:
-                          record_feed(f.current, **kw)):
+        with patch.object(run, "_advance", side_effect=lambda index, buffer, **kw:
+                          record_feed(index, f.current if index == 2 else buffer, **kw)):
            with self.assertRaises(AssertionError):
                run.step()
        run.close()
@@ -155,7 +168,7 @@ class ThreeLevelGPU(unittest.TestCase):
    def test_equilibrium_is_kept_on_every_level(self):
        from CelerisLab.cuda.context import CudaContext
        feq = np.asarray(compute_feq_d2q9(1.0, .03, -.02), np.float32)[:, None, None]
-        with CudaContext(0) as ctx, FixedPatchStepper(CFG, L1, context=ctx, **KW) as run:
+        with CudaContext(0) as ctx, FixedPatchStepper(CFG, context=ctx, **KW) as run:
            shapes = ((16, 16), run.patch.fine_shape, run.child_patch.fine_shape)
            run.initialize(*(np.broadcast_to(feq, (9, *s)).copy() for s in shapes))
            run.step(8)
@@ -168,15 +181,16 @@ class ThreeLevelGPU(unittest.TestCase):

    def test_nonequilibrium_masks_and_fresh_middle_feeds(self):
        from CelerisLab.cuda.context import CudaContext
-        with CudaContext(0) as ctx, FixedPatchStepper(CFG, L1, context=ctx, **KW) as run:
+        with CudaContext(0) as ctx, FixedPatchStepper(CFG, context=ctx, **KW) as run:
            p1, p2 = run.patch, run.child_patch
            run.initialize(state(16, 16, 1), state(*p1.fine_shape, 2), state(*p2.fine_shape, 3))
            f = run._levels[1]
-            feeds, original = [], run._advance_child
-            def record(buffer, **kw):
-                feeds.append(int(buffer))
-                original(buffer, **kw)
-            with patch.object(run, "_advance_child", side_effect=record):
+            feeds, original = [], run._advance
+            def record(index, buffer, **kw):  # index 2: L1 hop feeds L2
+                if index == 2:
+                    feeds.append(int(buffer))
+                original(index, buffer, **kw)
+            with patch.object(run, "_advance", side_effect=record):
                cur, spare = int(f.current), int(f.spare)
                run.step(1)
            self.assertEqual(feeds, [cur, spare])  # current G, then the new G of hop 1
@@ -203,8 +217,9 @@ class ThreeLevelBodyGPU(unittest.TestCase):
            CFG, velocity=0., wall_normal_velocity=.001, wall_slot_width=4,
            y_wall_bc="on_site_velocity", top_wall_bc="reservoir")
        with CudaContext(0) as ctx, FixedPatchStepper(
-                cfg, L1, context=ctx, coarse_boundary=mode, child_objects=[child_body(spec)],
-                child_jets=jets, **dict(KW, child_block=block)) as run:
+                cfg, context=ctx, coarse_boundary=mode,
+                **levels(blocks=(B, B, block), objects=((), (), (child_body(spec),)),
+                         jets=((), (), tuple(jets)))) as run:
            run.initialize(*(state(*level.shape[1:], i + 1) for i, level in enumerate(run._levels)))
            snapshots = []
            for stop in (0, 1, 2, 4, 8):
--- a/Show More
+++ b/Show More