docs: correct refinement topology and diagnostics scope
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# Fixed three-level separated patches
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# Fixed three-level rectangle unions
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`FixedPatchStepper` supports exactly three static, blocked levels with separated
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rectangle sets on either adjacent pair. This is not general AMR: there is no
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per-region timestep, moving geometry, dynamic refinement or L1 body support.
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This page describes the legacy three-level entry point of `FixedPatchStepper`,
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with rectangle unions on either adjacent pair. The `refinements` level-list
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entry point also supports arbitrary depth; three or more levels require
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all-blocked storage and bodies/Jets only on the finest level. This is not
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general AMR: there is no per-region timestep, moving geometry, automatic
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dynamic refinement or L1 body support in the three-level form.
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All regions share one current/spare buffer pair per level. The existing schedule
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advances L0 once, L1 twice and L2 four times per base step, with aggregate transfers.
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No CUDA kernel changes are involved.
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@@ -30,12 +33,15 @@ are physically equivalent to parent set `[(4,4,12,12)]` with child set
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`[(8,8,16,16)]`. Reusing the same numbers after changing the parent frame can
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move the physical region.
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Both adjacent pairs require a Chebyshev gap of at least four in their own
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parent-cell units. The whole child union must preserve inherited ACTIVE
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coverage, uncovered ACTIVE donors/receivers, surviving pulls, and the upstream
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Both adjacent pairs are built from their unions, without a fixed rectangle-gap
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rule. Adjacent, overlapping and concave unions are accepted only when their
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actual transfer dependencies close. The whole child union must preserve
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inherited ACTIVE coverage, uncovered ACTIVE donors/receivers, surviving pulls, and the upstream
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restriction footprint. Sparse holes remain unowned; inherited INNER remains
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stream-only and OUTER remains invalid. Block sizes must align with every
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support edge, including its four-cell ghost band.
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stream-only and OUTER remains invalid. Block sizes must divide their allocated
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level grids. Sparse storage owns every grid-aligned tile intersecting the union
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plus its four-cell ghost band; rectangle and support edges need not align with
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tile edges.
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## Example
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@@ -65,6 +71,12 @@ CPU geometry, table, pre-CUDA rejection, schedule and cleanup tests:
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PYTHONPATH=src python -m unittest discover -s tests/unit -p 'test_refinement*.py' -v
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```
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`tests/unit/test_union_refinement.py` covers union dependencies and tile
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ownership; `tests/unit/test_hierarchy.py` covers composed geometry through four
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levels. `tests/unit/test_raw_exchange.py` checks the four-level host schedule
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with CUDA mocks. These establish topology/control-flow coverage, not numerical
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qualification at every depth or interface shape.
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Explicit GPU gates are in
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`tests/validation/multigrid/test_refinement_three_level_multipatch_gpu.py`.
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They cover physical-frame equivalence, twins, asymmetric refinement, multiple
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