Comparison of two-fluid models on steam-water transients
Lochon, Hippolyte1, 2, 3 ; Daude, Frédéric1, 2 ; Galon, Pascal2, 4 ; Hérard, Jean-Marc5, 3
1 EDF R&D, Département AMA, 1 Avenue du Général de Gaulle, 92141 Clamart cedex, France.
2 IMSIA, UMR EDF/CNRS/CEA/ENSTA 9219, 1 Avenue du Général de Gaulle, 92141 Clamart cedex, France.
3 I2M, UMR CNRS 7373, Technopôle Château-Gombert, 39 rue F. Joliot Curie, 13453 Marseille cedex 13, France.
4 CEA, DEN, DANS, DM2S, SEMT, DYN, 91191 Gif-sur-Yvette cedex, France.
5 EDF R&D, Département MFEE, 6 Quai Watier, 78401 Chatou cedex, France.
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 50 (2016) no. 6, pp. 1631-1657.

This paper is devoted to the comparison of three two-fluid models in steam-water applications involving phase transition and shock waves. The three models are presented in a common formalism that helps to underline their shared properties. A numerical method based on previous work is extended to all models and to more complex Equations Of State. Particular attention is paid to the verification of every step of the method so that convergence studies can be carried out. Afterwards, models are compared with each other and with experimental data in two different cases of steam-water transients. The first one is Simpson water-hammer experiment and the second one is a rapid depressurization with flashing studied in Canon experiment.

Reçu le :
Accepté le :
DOI : 10.1051/m2an/2016001
Classification : 76T10, 35L60, 35L67
Mots-clés : Two-phase compressible flows, entropy inequality, closure laws, relaxation effects, finite volume schemes
Lochon, Hippolyte 1, 2, 3 ; Daude, Frédéric 1, 2 ; Galon, Pascal 2, 4 ; Hérard, Jean-Marc 5, 3

1 EDF R&D, Département AMA, 1 Avenue du Général de Gaulle, 92141 Clamart cedex, France.
2 IMSIA, UMR EDF/CNRS/CEA/ENSTA 9219, 1 Avenue du Général de Gaulle, 92141 Clamart cedex, France.
3 I2M, UMR CNRS 7373, Technopôle Château-Gombert, 39 rue F. Joliot Curie, 13453 Marseille cedex 13, France.
4 CEA, DEN, DANS, DM2S, SEMT, DYN, 91191 Gif-sur-Yvette cedex, France.
5 EDF R&D, Département MFEE, 6 Quai Watier, 78401 Chatou cedex, France. 
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Lochon, Hippolyte; Daude, Frédéric; Galon, Pascal; Hérard, Jean-Marc. Comparison of two-fluid models on steam-water transients. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 50 (2016) no. 6, pp. 1631-1657. doi : 10.1051/m2an/2016001. http://archive.numdam.org/articles/10.1051/m2an/2016001/

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