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Oct 4, 2022 at 1:17 comment added ConvexHull It is worth to mention when using the global Lax Friedrichs in the standard form often results in a well known even/odd decoupling (staircase solution). Changing the time step won't help here. The effect can be fixed by scaling the wave speed with the CFL number itself: $\alpha_{LF}=\text{CFL}\cdot\frac{\Delta x}{\Delta t}$.
Jan 6, 2022 at 18:07 history answered Dan Doe CC BY-SA 4.0