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Development of DDFV Methods for the Euler Equations

  • Christophe BerthonEmail author
  • Yves Coudière
  • Vivien Desveaux
Conference paper
Part of the Springer Proceedings in Mathematics book series (PROM, volume 4)

Abstract

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.

Keywords

Finite volume methods for hyperbolic problems Euler equations DDFV reconstruction MUSCL reconstruction Robustness 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Christophe Berthon
    • 1
    Email author
  • Yves Coudière
    • 1
  • Vivien Desveaux
    • 1
  1. 1.Laboratoire de Mathématiques Jean LerayUMR 6629Nantes Cedex 3France

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