Development of DDFV Methods for the Euler Equations
We propose to extend some recent gradient reconstruction, the so–called DDFV approaches, to derive accurate finite volume schemes to approximate the weak solutions of the 2D Euler equations. A particular attention is paid on the limitation procedure to enforce the required robustness property. Some numerical experiments are performed to highlight the relevance of the suggested MUSCL–DDFV technique.
KeywordsFinite volume methods for hyperbolic problems Euler equations DDFV reconstruction MUSCL reconstruction Robustness
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