A simple parameter-free entropy correction for approximate Riemann solvers

Philippe Helluy; Jean-Marc Hérard; Hélène Mathis; Siegfried Müller

doi:10.1016/j.crme.2010.07.007

A simple parameter-free entropy correction for approximate Riemann solvers
[Une correction entropique non paramétrique simple pour les solveurs de Riemann approchés]

Philippe Helluy ¹ ; Jean-Marc Hérard ² ; Hélène Mathis ¹ ; Siegfried Müller ³

¹ IRMA, université de Strasbourg, 7, rue Descartes, 67084 Strasbourg cedex, France
² EDF, recherche et développement, département M.F.E.E., 6, quai Watier, 78401 Chatou cedex, France
³ Institut für Geometrie und Praktische Mathematik, RWTH Aachen, 52056 Aachen, Germany

Comptes Rendus. Mécanique, Volume 338 (2010) no. 9, pp. 493-498.

Résumé
Abstract

On présente dans cette note une correction entropique non paramétrique simple et générale pour la simulation d'écoulements de fluides comportant des points soniques en zone de détente. Celle-ci permet d'accroître la stabilité et la précision de solveurs de Riemann approchés. Cette correction est aussi appliquée aux équations de la MHD idéale.

We present here a simple and general non-parametrized entropy-fix for the computation of fluid flows involving sonic points in rarefaction waves. It enables to improve the stability and the accuracy of approximate Riemann solvers. It is also applied to MHD flows.

Reçu le : 2009-02-16
Accepté le : 2010-07-07
Publié le : 2010-07-31

DOI : 10.1016/j.crme.2010.07.007

Keywords: Computational fluid mechanics, Approximate Riemann solver, Entropy correction
Mots-clés : Mécanique des fluides numérique, Solveur de Riemann approché, Correction entropique

Affiliations des auteurs :

Philippe Helluy ¹ ; Jean-Marc Hérard ² ; Hélène Mathis ¹ ; Siegfried Müller ³

¹ IRMA, université de Strasbourg, 7, rue Descartes, 67084 Strasbourg cedex, France
² EDF, recherche et développement, département M.F.E.E., 6, quai Watier, 78401 Chatou cedex, France
³ Institut für Geometrie und Praktische Mathematik, RWTH Aachen, 52056 Aachen, Germany

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     author = {Philippe Helluy and Jean-Marc H\'erard and H\'el\`ene Mathis and Siegfried M\"uller},
     title = {A simple parameter-free entropy correction for approximate {Riemann} solvers},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {493--498},
     publisher = {Elsevier},
     volume = {338},
     number = {9},
     year = {2010},
     doi = {10.1016/j.crme.2010.07.007},
     language = {en},
}

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Philippe Helluy; Jean-Marc Hérard; Hélène Mathis; Siegfried Müller. A simple parameter-free entropy correction for approximate Riemann solvers. Comptes Rendus. Mécanique, Volume 338 (2010) no. 9, pp. 493-498. doi : 10.1016/j.crme.2010.07.007. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.07.007/

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