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rustytorch/crates/specialized/rtx-cfd/src/solvers/incompressible
Omar SobhandClaude Fable 5 b321a9aba7
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rtx-cfd: Taylor-Green validates PISO's transient path — and fixes the projection's inner solve
With k = pi the decaying Taylor-Green vortex has zero normal velocity on
the unit box for all time, so it fits the closed staggered domain exactly,
with ZERO body force: convection is balanced identically by the true TG
pressure and the decay comes from viscosity alone. This exercises exactly
what the steady MMS harness cannot see — the time derivative, the unsteady
pressure coupling and the projection's splitting error. The time-decaying
tangential wall velocity enters by re-setting the wall hook each step.

Measured (16/32/64, dt ~ h^2): L2 velocity 2.267e-2, 1.153e-2, 5.841e-3 —
orders 0.97 and 0.98, first-order upwind's rate — and the kinetic-energy
deficit against the exact e^(-4 nu pi^2 T) halves per refinement
(0.0690, 0.0360, 0.0185; ratios 1.92, 1.95), within 2.3% on the finest
mesh. Every step divergence-free to ~1e-7.

Its first run caught two defects in the projection's inner solver:

- The inner Gauss-Seidel stop summed the per-sweep iterate CHANGE — the
  same movement-not-residual pseudo-criterion the SIMPLE census flagged:
  slow modes move little per sweep while their residual is still large.
- Plain GS contracts smooth modes by only 1 - O(h^2) per sweep, so the
  400-sweep cap left max |div u| ~ 1e-2, GROWING with mesh size (8e-3 at
  16^2 to 2e-2 at 64^2).

The inner stop now measures the true equation residual, the sweep is SOR
at the optimal Poisson factor omega = 2/(1 + sin(pi h)), and it converges
relative to each projection's own source with a floor tied to the outer
mass tolerance — so a long steady march no longer burns a hundred sweeps
per step polishing negligible corrections. The steady MMS harness had
masked all of this: a march to steady state iterates the projection to
death regardless, which is why its divergence read 1e-9 while a 205-step
transient left 1e-2.

mms_piso's steady-state criterion is 1e-6 (was 1e-7): per-step projection
noise at the mass tolerance floors |du/dt| just below 1e-6, and the L2
errors under measurement are 1e-2 to 1e-3. Its results are unchanged to
six figures and still match SIMPLE's.

288 rtx-cfd tests, 0 failing.

Co-Authored-By: Claude Fable 5 <[email protected]>
2026-08-20 00:35:06 -07:00
..
2026-03-04 00:08:42 +00:00
2026-03-04 00:08:42 +00:00