Geodesic
Modelling compressible multiphase flows
Frédéric Coquel1 ; Thierry Gallouët2 ; Philippe Helluy3 ; Jean-Marc Hérard4 ; Olivier Hurisse4 ; Nicolas Seguin5
1 CMAP, Ecole Polytechnique, UMR CNRS 7671, route de Saclay, 91128, Palaiseau cedex, France
2 LATP, Université Aix-Marseille, UMR CNRS 7353, 39 rue Joliot Curie, 13453 Marseille cedex, France
3 IRMA, 7 rue Descartes, Universit de Strasbourg, 67084, Strasbourg, France
4 EDF, R&D, MFEE, 6 quai Watier, 78400, Chatou, France
5 LJLL, Université Pierre et Marie Curie,UMR CNRS 7598, Paris, France
ESAIM. Proceedings, Tome 40 (2013), pp. 34-50.

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We give in this paper a short review of some recent achievements within the framework of multiphase flow modeling. We focus first on a class of compressible two-phase flow models, detailing closure laws and their main properties. Next we briefly summarize some attempts to model two-phase flows in a porous region, and also a class of compressible three-phase flow models. Some of the main difficulties arising in the numerical simulation of solutions of these complex and highly non-linear systems of PDEs are then discussed, and we eventually show some numerical results when tackling two-phase flows with mass transfer.
DOI : 10.1051/proc/201340003

Frédéric Coquel 1 ; Thierry Gallouët 2 ; Philippe Helluy 3 ; Jean-Marc Hérard 4 ; Olivier Hurisse 4 ; Nicolas Seguin 5

1 CMAP, Ecole Polytechnique, UMR CNRS 7671, route de Saclay, 91128, Palaiseau cedex, France
2 LATP, Université Aix-Marseille, UMR CNRS 7353, 39 rue Joliot Curie, 13453 Marseille cedex, France
3 IRMA, 7 rue Descartes, Universit de Strasbourg, 67084, Strasbourg, France
4 EDF, R&D, MFEE, 6 quai Watier, 78400, Chatou, France
5 LJLL, Université Pierre et Marie Curie,UMR CNRS 7598, Paris, France 
@article{EP_2013_40_a3,
     author = {Fr\'ed\'eric Coquel and Thierry Gallou\"et and Philippe Helluy and Jean-Marc H\'erard and Olivier Hurisse and Nicolas Seguin},
     title = {Modelling compressible multiphase flows},
     journal = {ESAIM. Proceedings},
     pages = {34--50},
     publisher = {mathdoc},
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     year = {2013},
     doi = {10.1051/proc/201340003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201340003/}
}
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Frédéric Coquel; Thierry Gallouët; Philippe Helluy; Jean-Marc Hérard; Olivier Hurisse; Nicolas Seguin. Modelling compressible multiphase flows. ESAIM. Proceedings, Tome 40 (2013), pp. 34-50. doi : 10.1051/proc/201340003. http://geodesic.mathdoc.fr/articles/10.1051/proc/201340003/

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