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cfd-lab:~/ja/tools/under-relaxation-planneronline
$ cd ..

Under-Relaxation プランナー

SIMPLE系反復で relaxation factor が補正量、減衰速度、overshoot リスクをどう変えるか可視化します。

visual calculator数値計算と安定性

数値を見る前に、流れの形をつかみます。

このツールは入力値をレジーム、スケール、支配効果として読めるようにします。下の計算機を動かし、図と結果の変化を見比べてください。

01
入力スケール
02
支配式
03
判定
under-relaxationSIMPLEsolver stabilityresidual
KaTeX rendered
phi_new = phi_old + alpha Delta phiresidual_N ˜= residual_0 (1-alpha)ˆN\begin{aligned}\text{phi\_new = phi\_old + alpha Delta phi}\\[0.35em]\text{residual\_N \~{}= residual\_0 (1-alpha)\^{}N}\end{aligned}
ASCII sourcephi_new = phi_old + alpha Delta phi, residual_N ~= residual_0 (1-alpha)^N
Under-relaxation responseapplied correctionalpha damps each nonlinear correction before update0% risk1e+01e-21e-41e-6idealized residual damping per nonlinear iteration
applied correction
0.5000
withheld correction
0.5000
residual after N
0.0002
iterations to 95% damping
4.3219
overshoot risk
0.0%
setting
balanced
alpha
0.5000
raw correction
1.0000

This is an intuition tool for nonlinear fixed-point damping. Real stability also depends on mesh quality, discretization, boundary conditions, and coupling strategy.