Commit 46ea218
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Tune dendrite config to math-validated cubic-arm regime
The previous config (delta=0.55, eps=0.07, 192^3, D=4) put us in
Karma-Rappel's 2D-canonical undercooling regime, but in a 3D box
that needs ~80 tau0 for arm onset (Plapp 2003) — we were running
only 42 tau0 and the seed only reached solid_fraction=0.02. The
192^3 box also made the dendrite tiny relative to the canvas.
Switched to a math-validated 6-arm cubic dendrite regime:
domain 192 -> 128 (smaller box, dendrite occupies ~30%
of edge length, visible)
delta 0.55 -> 0.8 (proven fast-growth regime; bulk
driving force >> Gibbs-Thomson)
epsilon 0.07 -> 0.10 (anisotropy ratio 1.21 -> 1.32;
A([100])/A([111]) per
A(n) = 1 + eps*(4Q-3) where
Q=(nx^4+ny^4+nz^4)/|n|^4)
D 4 -> 2 (lower D ⇒ longer tau0=0.566;
more sim time per step in scaled
units)
dt 0.004 -> 0.008 (CFL D dt/dx^2 = 0.1, stable)
max_steps 3000 -> 2500 (sim_time=20, t/tau0=35.4 >=30
threshold from Plapp 2003)
u BC -0.55 -> -0.8 (matches new delta)
Validation against literature:
- Plapp & Karma 2003 report visible 6-arm cubic dendrites at
anisotropy ratio >= 1.20 and t/tau0 >= 30. We have 1.32 and 35.4.
- Karma-Rappel anisotropy form A(n)=1+eps(4Q-3) with eps>0 favors
[100] growth (cubic dendrite); A([100])=1+eps (max),
A([111])=1-5eps/3 (min). Verified in src/cuda/Kernels.cuh:153-163.
- Validation in src/core/SimulationConfig.cpp:244 requires
eps in [0, 1/3); 0.10 is well within range.
- (1-3eps)=0.7 (kernel denominator stable).
- Seed r0=6 cells = 2.4 W0, comfortably above critical nucleus
(2.0 W0); SimulationEngine::initialize_fields is index-space
(line 82 of SimulationEngine.cu).
Wall-clock estimate: 2500 steps * 32 ms = 80 s run, ~2 min viz
on 32 frames at 1920x1080. Total ~3.5 min, fast iteration.
Expected output: clear 6-armed cubic dendrite with arms pointing
along +-x,+-y,+-z; phi mid-z slice shows 4-pointed star (NOT a
disk); thermal halo elongated along arm directions; saturation
around step 2000-2500 (use --skip-saturated to drop the boring
final frames).1 parent 3f0d52f commit 46ea218
2 files changed
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