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3D Courant Number

Compute directional Courant sum and allowable time step on anisotropic grids.

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
CourantCFLtime step3D
formula
KaTeX rendered
C = dt (|u_x|/dx + |u_y|/dy + |u_z|/dz)\begin{aligned}\text{C = dt (|u\_x|/dx + |u\_y|/dy + |u\_z|/dz)}\end{aligned}
ASCII sourceC = dt (|u_x|/dx + |u_y|/dy + |u_z|/dz)
C_x + C_y + C_z
0.5000 stable
dt_max (s)
0.0008

Many finite-volume solvers report max Courant over cells. This local estimate uses a directional sum.