论文信息 - The stability of MacCormack's method for the scalar advection equation

The stability of MacCormack's method for the scalar advection equation

We show that MacCormack's method for the scalar advection equation ut = aux+buy is stable if (aΔt/Δx)2 + (bΔt/Δy)2 ≤ 2 1+18 −2≈18. This bound on the mesh ratios is not optimal, since numerical sampling shows that .3266 will do when (aΔt/Δx)2 = (bΔt/Δy)2.

Burton Wendroff | B. Wendroff

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