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Asymptotic Preserving Finite Volumes Discretization For Non-Linear Moment Model On Unstructured Meshes

  • Emmanuel FranckEmail author
  • Christophe Buet
  • Bruno Després
Conference paper
Part of the Springer Proceedings in Mathematics book series (PROM, volume 4)

Abstract

In this work we present a new finite volume discretization of the nonlinear model M 1 [2]. This new method is based on nodal solver for hyperbolic systems [3, 6] and overcomes, on 2-D unstructured meshes, the problem of the inconsistent diffusion limit for schemes based on classical edge formulation. We provide numerical examples to illustrate the properties of the method.

Keywords

asymptotic preserving M1 model unstructured diffusion limit GLACE scheme 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Emmanuel Franck
    • 1
    Email author
  • Christophe Buet
    • 1
  • Bruno Després
    • 2
  1. 1.CEADAM, DIFArpajonFrance
  2. 2.Laboratoire Jacques Louis LionsUniversité Pierre et Marie CurieParis, Cedex 5France

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