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Is there a simple way to avoid carbuncles for FD WENO methods?

Computational Science Asked by omican on December 28, 2020

I have implemented finite-difference WENO scheme for Euler equations (with some variants – WENO-JS, WENO-Z, WENO-M, different flux splitting). It works well, but have problem with so-called carbuncles (shock instability in the areas where its front is almost aligned with the grid). This problem seems to be well-studied for finite-volume methods (quick search shows that there are some fixes for Riemann solvers), but I can’t find almost any information regarding carbuncles in finite-difference methods.

Are there any known fixes for finite-difference methods?

One Answer

After quick testing, H-correction seems to solve the problem! For future readers: see the first comment for the relevant paper link.

Answered by omican on December 28, 2020

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