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Finite Volumes Asymptotic Preserving Schemes for Systems of Conservation Laws with Stiff Source Terms

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Finite Volumes for Complex Applications VI Problems & Perspectives

Part of the book series: Springer Proceedings in Mathematics ((PROM,volume 4))

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Abstract

We consider here a numerical technique that allows to build asymptotic-preserving schemes for hyperbolic systems of conservation laws with eventually stiff source terms. The scheme is build in 1D and extended to unstructured 2D meshes. Its behavior is illustrated by numerical experiments on different physical applications.

MSC2010: 65N08, 65Z05

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Authors and Affiliations

  1. Laboratoire de Mathématiques Jean Leray, Université de Nantes, 2, rue de la Houssinière, 44322, Nantes, France

    C. Berthon & R. Turpault

Authors
  1. C. Berthon
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  2. R. Turpault
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Corresponding author

Correspondence to C. Berthon .

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Editors and Affiliations

  1. , Faculty of Mechanical Engineering, Czech Technical University, Karlovo náměstí 13, Prague, Czech Republic

    Jaroslav Fořt

  2. , Faculty of Mechanical Engineering, Czech Technical University, Karlovo náměstí 13, Prague, Czech Republic

    Jiří Fürst

  3. , Faculty of Mechanical Engineering, Czech Technical University, Karlovo náměstí 13, Prague, Czech Republic

    Jan Halama

  4. LATP, Laboratoire d'Analyse, Probabilités et Topologie, Université Aix-Marseille, rue Joliot Curie 39, Marseille, 13453, France

    Raphaèle Herbin

  5. LATP, Laboratoire d'Analyse, Probabilités et Topologie, Université Aix-Marseille, rue Joliot Curie 39, Marseille, 13453, France

    Florence Hubert

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Berthon, C., Turpault, R. (2011). Finite Volumes Asymptotic Preserving Schemes for Systems of Conservation Laws with Stiff Source Terms. In: Fořt, J., Fürst, J., Halama, J., Herbin, R., Hubert, F. (eds) Finite Volumes for Complex Applications VI Problems & Perspectives. Springer Proceedings in Mathematics, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20671-9_12

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