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Efficient Implementation of High Order Reconstruction in Finite Volume Methods

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Finite Volumes for Complex Applications VI Problems & Perspectives

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

Abstract

The paper presents a new algorithm for high order piecewise polynomial reconstruction. This algorithm computes a high order approximant in a given cell using data from adjacent cells in several steps, eliminating the need to handle directly large reconstruction stencils. The resulting high order finite volume method is well suited for modern parallel and vector (array) computers.

MSC2010: 65M08,65D15

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References

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Author information

Authors and Affiliations

  1. ONERA, 29 avenue de la Division Leclerc, 92322, Châtillon, France

    Florian Haider & Bernard Courbet

  2. ASTRIUM Space Transportation - Aerodynamics, 3002, 78133, Les Mureaux, France

    Pierre Brenner

  3. Université Paul Verlaine-Metz - UFR MIM Département de Mathématiques, Ile du Saulcy, 57045, Metz, France

    Jean-Pierre Croisille

Authors
  1. Florian Haider
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  2. Pierre Brenner
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  3. Bernard Courbet
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  4. Jean-Pierre Croisille
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Corresponding author

Correspondence to Florian Haider .

Editor information

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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Haider, F., Brenner, P., Courbet, B., Croisille, JP. (2011). Efficient Implementation of High Order Reconstruction in Finite Volume Methods. 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_58

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