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TVD Limiter Visualizer

Compare minmod, van Leer, Superbee, and MC limiter curves to see numerical diffusion and sharpness.

visual calculatorNumerics & Stability

Read the flow shape before trusting the number.

This page turns a CFD setup into regime, scale, and dominant-effect cues. Adjust the calculator below and compare the moving graphic with the computed result.

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input scale
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model
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check
TVDlimiterfinite volumeboundedness
formula
KaTeX rendered
phi = limiter(r)F_high = F_low + 0.5 phi(r) correction\begin{aligned}\text{phi = limiter(r)}\\[0.35em]\text{F\_high = F\_low + 0.5 phi(r) correction}\end{aligned}
ASCII sourcephi = limiter(r), F_high = F_low + 0.5 phi(r) correction
0123012flux limiter familyrphi(r)
phi(r)
0.8889
anti-diffusion weight
0.4444
behavior
diffusive-safe

Limiter curves explain why minmod is robust but diffusive, while Superbee is sharper near discontinuities.