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feat(amr): IGR solver support with restriction-only coarse/fine coupling - the fine block runs its own fixed-iteration sigma solve seeded and Dirichlet-bounded by the converged coarse sigma (piecewise-constant parent injection over the full buffered range; per-iteration BC/halo populate skipped under amr_in_fine_advance; coarse jac/jac_old warm-start state bounced across the fine advance), fine RK update uses the IGR coefficient form (dt embedded in the rhs), flux-register capture/apply return early under igr (no face fluxes exposed by the fused IGR kernels - seam conservation is truncation-order, documented), amr_subcycle gated. Validated: free-stream through block EXACTLY preserved, AMR-vs-reference at resolution scale (rho 1.3e-4 rel-L2, static and dynamic regrid), transverse seam artifact 3e-4 absolute from the coarse/fine sigma jump (truncation-level, documented), conservation drift at the reference's own outflow scale. Goldens 6C20B752 (static) 660FFBFE (dynamic regrid)
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| QBMM bubbles (non-polytropic) | Supported (static block, no subcycle) | Each block carries its own `pb`/`mv` quadrature side-state: prolonged piecewise-constant (realizability), advanced with the block's own rhs scratch, restricted back with the moments; dynamic regrid and `amr_subcycle` remain gated |
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| Lagrangian bubbles (`bubbles_lagrange = T`) | Supported (cloud excluded from blocks) | Two-way coupling lives on the coarse grid: regrid suppresses tags and clips candidate boxes around the cloud's padded bbox (positions + `mapCells` smearing + stencil + drift margin, recomputed collectively each regrid), the fine advance skips the EL hooks, EL volume fractions prolong WITHOUT the sum-to-one closure (their sum is the local liquid fraction), and a per-stage guard aborts if the cloud reaches an active block |
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| Immersed boundaries (`ib = T`; one or more non-STL bodies, static or prescribed-motion `moving_ibm=1`) | Supported | Per-block fine-grid IB markers/ghost points, rebuilt each fine substage at the body's sub-time position for a moving body; non-conservative ghost-cell forcing at the body; with dynamic regrid candidate boxes expand to fully contain each body at its live position plus margin, the fine IB state rebuilds after every regrid, and a per-substage guard aborts if a moving body reaches its block boundary between regrids; force-driven (`moving_ibm=2`)/STL gated; a body spanning a rank seam is rejected at startup |
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| IGR solver |**Not supported**| Unvalidated with the fine-level advance |
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| IGR solver (`igr = T`) | Supported (restriction-only coupling) | The fine block runs its own fixed-iteration sigma solve, seeded and Dirichlet-bounded by the converged coarse sigma (frozen ghost ring; the per-iteration BC populate is skipped); the coarse warm-start state is saved/restored across the fine advance. The Berger-Colella reflux is NOT captured from the fused IGR flux kernels, so seam conservation is truncation-order rather than exact; free-stream preservation is exact. `amr_subcycle` is gated|
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| 2D axisymmetric (`cyl_coord = T`, `p = 0`) | Supported | Geometric sources read the live (swapped) grid; the axis half-width cell's per-cell WENO coefficients are recomputed for each block on swap/restore; blocks stay `buff_size` off the axis (domain-edge clamp); the axis-singularity viscous treatment runs on the coarse pass only |
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| 3D cylindrical (`cyl_coord = T`, `p > 0`) |**Not supported**| The per-stage azimuthal Fourier filter is a global operation incompatible with the block-local fine advance |
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| Grid stretching (`stretch_x[y,z] = T`) | Supported | Fine ghost-shell coordinates extend by exact parent-cell bisection, and the spacing-dependent WENO coefficients are recomputed for the active grid on every block swap/restore (`amr_weno_coef_recompute`, armed automatically when the grid is nonuniform); prolongation stays conservative but its slope estimate is first-order on nonuniform parents |
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