Geodesic
Approximate solutions of the Baer-Nunziato Model
Fabien Crouzet1, 2, 3, 4, 5 ; Frédéric Daude1 ; Pascal Galon2 ; Philippe Helluy3 ; Jean-Marc Hérard1, 2, 3, 4, 5 ; Olivier Hurisse4 ; Yujie Liu5
1 EDF, R&D, AMA, and LaMSID, UMR EDF/CNRS/CEA 2832, 1 avenue du Général de Gaulle, 92141, Clamart, France
2 CEA, Saclay, France, and LaMSID, UMR EDF/CNRS/CEA 2832, 1 avenue du Général de Gaulle, 92141, Clamart, France
3 IRMA, 7 rue Descartes, Université de Strasbourg, 67084, Strasbourg, France
4 EDF, R&D, MFEE, 6 quai Watier, 78400, Chatou, France
5 EDF, R&D, AMA, and LaMSID, UMR EDF/CNRS/CEA 2832, 1 avenue du Général de Gaulle, 92141, Clamart, France. PhD student in LATP-Université Aix-Marseille, 39 rue Joliot Curie, 13453Marseille, France
ESAIM. Proceedings, Tome 40 (2013), pp. 63-82.

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We examine in this paper the accuracy of some approximations of the Baer-Nunziato two-phase flow model. The governing equations and their main properties are recalled, and two distinct numerical schemes are investigated, including a classical second-order extension relying on symmetrizing variables. Shock tube cases are considered, and two simple Riemann problems based on well-balanced initial data are detailed. These enable to recover the expected convergence rates. However, it is shown that these simple cases are indeed very difficult and that the accuracy of basic schemes is rather poor.
DOI : 10.1051/proc/201340005

Fabien Crouzet 1, 2, 3, 4, 5 ; Frédéric Daude 1 ; Pascal Galon 2 ; Philippe Helluy 3 ; Jean-Marc Hérard 1, 2, 3, 4, 5 ; Olivier Hurisse 4 ; Yujie Liu 5

1 EDF, R&D, AMA, and LaMSID, UMR EDF/CNRS/CEA 2832, 1 avenue du Général de Gaulle, 92141, Clamart, France
2 CEA, Saclay, France, and LaMSID, UMR EDF/CNRS/CEA 2832, 1 avenue du Général de Gaulle, 92141, Clamart, France
3 IRMA, 7 rue Descartes, Université de Strasbourg, 67084, Strasbourg, France
4 EDF, R&D, MFEE, 6 quai Watier, 78400, Chatou, France
5 EDF, R&D, AMA, and LaMSID, UMR EDF/CNRS/CEA 2832, 1 avenue du Général de Gaulle, 92141, Clamart, France. PhD student in LATP-Université Aix-Marseille, 39 rue Joliot Curie, 13453Marseille, France 
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     title = {Approximate solutions of the {Baer-Nunziato} {Model}},
     journal = {ESAIM. Proceedings},
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Fabien Crouzet; Frédéric Daude; Pascal Galon; Philippe Helluy; Jean-Marc Hérard; Olivier Hurisse; Yujie Liu. Approximate solutions of the Baer-Nunziato Model. ESAIM. Proceedings, Tome 40 (2013), pp. 63-82. doi : 10.1051/proc/201340005. http://geodesic.mathdoc.fr/articles/10.1051/proc/201340005/

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