Closure laws for a two-fluid two-pressure model

Frédéric Coquel; Thierry Gallouët; Jean-Marc Hérard; Nicolas Seguin

doi:10.1016/S1631-073X(02)02366-X

Closure laws for a two-fluid two-pressure model
[Lois de fermeture pour un modèle à deux pressions d'écoulement diphasique]

Frédéric Coquel ¹ ; Thierry Gallouët ² ; Jean-Marc Hérard ^2,³ ; Nicolas Seguin ^2,³

¹ L.A.N., Université Pierre et Marie Curie, boite 187, 4, place Jussieu, 75252 Paris cedex 05, France
² L.A.T.P. (UMR 6632), C.M.I., Université de Provence, 39, rue Joliot Curie, 13453 Marseille cedex 13, France
³ Département M.F.T.T., E.D.F. recherche et développement, 6, quai Watier, 78401 Chatou cedex, France

Comptes Rendus. Mathématique, Volume 334 (2002) no. 10, pp. 927-932.

Résumé
Abstract

On propose des lois de fermeture de vitesse et de pression d'interface pour un modèle d'écoulement diphasique à deux pressions. Celles-ci assurent champ par champ de respecter la positivité des fractions volumiques, des variables densité et énergie interne si on examine le problème de Riemann.

Closure laws for interfacial pressure and interfacial velocity are proposed within the frame work of two-pressure two-phase flow models. These enable us to ensure positivity of void fractions, mass fractions and internal energies when investigating field by field waves in the Riemann problem.

Reçu le : 2002-02-20
Accepté le : 2002-03-15
Publié le : 2002-04-09

DOI : 10.1016/S1631-073X(02)02366-X

Affiliations des auteurs :

Frédéric Coquel ¹ ; Thierry Gallouët ² ; Jean-Marc Hérard ^{2, 3} ; Nicolas Seguin ^{2, 3}

¹ L.A.N., Université Pierre et Marie Curie, boite 187, 4, place Jussieu, 75252 Paris cedex 05, France
² L.A.T.P. (UMR 6632), C.M.I., Université de Provence, 39, rue Joliot Curie, 13453 Marseille cedex 13, France
³ Département M.F.T.T., E.D.F. recherche et développement, 6, quai Watier, 78401 Chatou cedex, France

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     author = {Fr\'ed\'eric Coquel and Thierry Gallou\"et and Jean-Marc H\'erard and Nicolas Seguin},
     title = {Closure laws for a two-fluid two-pressure model},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {927--932},
     publisher = {Elsevier},
     volume = {334},
     number = {10},
     year = {2002},
     doi = {10.1016/S1631-073X(02)02366-X},
     language = {en},
}

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Frédéric Coquel; Thierry Gallouët; Jean-Marc Hérard; Nicolas Seguin. Closure laws for a two-fluid two-pressure model. Comptes Rendus. Mathématique, Volume 334 (2002) no. 10, pp. 927-932. doi : 10.1016/S1631-073X(02)02366-X. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02366-X/

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