Geodesic
A splitting method for the isentropic Baer-Nunziato two-phase flow model
Frédéric Coquel1 ; Jean-Marc Hérard2 ; Khaled Saleh2, 3
1 CNRS, UMR 7641, CMAP École Polytechnique, Palaiseau F-91128, France
2 EDF R&D, Département MFEE, Chatou F-78401, France
3 Université Pierre et Marie Curie Paris 6, UMR 7598, LJLL, Paris F-75005, France
ESAIM. Proceedings, Tome 38 (2012), pp. 241-256.

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In the present work, we propose a fractional step method for computing approximate solutions of the isentropic Baer-Nunziato two-phase flow model. The scheme relies on an operator splitting method corresponding to a separate treatment of fast propagation phenomena due to the acoustic waves on the one hand and slow propagation phenomena due to the fluid motion on the other. The scheme is proved to preserve positive values of the statistical fractions and densities. We also provide two test-cases that assess the convergence of the method.
DOI : 10.1051/proc/201238013

Frédéric Coquel 1 ; Jean-Marc Hérard 2 ; Khaled Saleh 2, 3

1 CNRS, UMR 7641, CMAP École Polytechnique, Palaiseau F-91128, France
2 EDF R&D, Département MFEE, Chatou F-78401, France
3 Université Pierre et Marie Curie Paris 6, UMR 7598, LJLL, Paris F-75005, France 
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     author = {Fr\'ed\'eric Coquel and Jean-Marc H\'erard and Khaled Saleh},
     title = {A splitting method for the isentropic {Baer-Nunziato} two-phase flow model},
     journal = {ESAIM. Proceedings},
     pages = {241--256},
     publisher = {mathdoc},
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     doi = {10.1051/proc/201238013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201238013/}
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Frédéric Coquel; Jean-Marc Hérard; Khaled Saleh. A splitting method for the isentropic Baer-Nunziato two-phase flow model. ESAIM. Proceedings, Tome 38 (2012), pp. 241-256. doi : 10.1051/proc/201238013. http://geodesic.mathdoc.fr/articles/10.1051/proc/201238013/

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