Hybrid schemes to compute contact discontinuities in Euler equations with any EOS

Thierry Gallouët; Jean-Marc Hérard; Nicolas Seguin

doi:10.1016/S1631-0721(02)01482-1

Hybrid schemes to compute contact discontinuities in Euler equations with any EOS
[Schémas hybrides pour la simulation des discontinuités de contact des équations d'Euler avec une loi d'état quelconque]

Thierry Gallouët ¹ ; Jean-Marc Hérard ^1,² ; Nicolas Seguin ^1,²

¹ L.A.T.P. (UMR 6632), C.M.I., Université de Provence, 39, rue Joliot Curie, 13453 Marseille cedex 13, France
² Département M.F.T.T., E.D.F. recherche et développement, 6, quai Watier, 78401 Chatou cedex, France

Comptes Rendus. Mécanique, Volume 330 (2002) no. 6, pp. 445-450.

Résumé
Abstract

On propose un schéma explicite hybride permettant d'effectuer des simulations précises des équations d'Euler pour un choix de loi thermodynamique quelconque, analytique ou tabulée. La méthode est définie pour les schémas de Godunov exact ou approchés.

We propose here some explicit hybrid schemes which enable accurate computation of Euler equations with arbitrary (analytic or tabulated) equation of state (EOS). The method is valid for the exact Godunov scheme and some approximate Godunov schemes.

Reçu le : 2001-09-26
Accepté le : 2002-05-06
Publié le : 2002-01-01

DOI : 10.1016/S1631-0721(02)01482-1

Keywords: computational fluid mechanics, Euler equations, Godunov schemes
Mot clés : mécanique des fluides numérique, équations d'Euler, schémas de Godunov

Affiliations des auteurs :

Thierry Gallouët ¹ ; Jean-Marc Hérard ^{1, 2} ; Nicolas Seguin ^{1, 2}

¹ L.A.T.P. (UMR 6632), C.M.I., Université de Provence, 39, rue Joliot Curie, 13453 Marseille cedex 13, France
² Département M.F.T.T., E.D.F. recherche et développement, 6, quai Watier, 78401 Chatou cedex, France

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     author = {Thierry Gallou\"et and Jean-Marc H\'erard and Nicolas Seguin},
     title = {Hybrid schemes to compute contact discontinuities in {Euler} equations with any {EOS}},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {445--450},
     publisher = {Elsevier},
     volume = {330},
     number = {6},
     year = {2002},
     doi = {10.1016/S1631-0721(02)01482-1},
     language = {en},
}

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Thierry Gallouët; Jean-Marc Hérard; Nicolas Seguin. Hybrid schemes to compute contact discontinuities in Euler equations with any EOS. Comptes Rendus. Mécanique, Volume 330 (2002) no. 6, pp. 445-450. doi : 10.1016/S1631-0721(02)01482-1. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(02)01482-1/

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