Comptes Rendus
no. 10
Numerical Analysis
A hyperbolic three-phase flow model
[Un modèle hyperbolique d'écoulement triphasique]

Présenté par : Olivier Pironneau

Jean-Marc Hérard1, 2
1 Département M.F.E.E., E.D.F., Recherche et Développement, 6, quai Watier, 78401 Chatou cedex, France
2 L.A.T.P. (UMR CNRS 6632), C.M.I., université Aix-Marseille I, 39, rue Joliot Curie, 13453 Marseille cedex 13, France
Comptes Rendus. Mathématique, Volume 342 (2006) no. 10, pp. 779-784.

On introduit un modèle hyperbolique pour la modélisation des écoulements triphasiques, qui est muni d'une inégalité d'entropie physique et assure la positivité des fractions volumiques, des densités et énergies internes dans les ondes simples apparaissant dans le problème de Riemann unidimensionnel.

We introduce a hyperbolic entropy-consistent model to describe three-phase flows, which ensures that void fractions, mass fractions and pressures remain positive through single waves occurring in the one dimensional solution of the Riemann problem.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2006.02.012
Jean-Marc Hérard 1, 2

1 Département M.F.E.E., E.D.F., Recherche et Développement, 6, quai Watier, 78401 Chatou cedex, France
2 L.A.T.P. (UMR CNRS 6632), C.M.I., université Aix-Marseille I, 39, rue Joliot Curie, 13453 Marseille cedex 13, France 
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Jean-Marc Hérard. A hyperbolic three-phase flow model. Comptes Rendus. Mathématique, Volume 342 (2006) no. 10, pp. 779-784. doi : 10.1016/j.crma.2006.02.012. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.02.012/

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