This paper is concerned with the numerical approximation of the solutions of a two-fluid two-pressure model used in the modelling of two-phase flows. We present a relaxation strategy for easily dealing with both the nonlinearities associated with the pressure laws and the nonconservative terms that are inherently present in the set of convective equations and that couple the two phases. In particular, the proposed approximate Riemann solver is given by explicit formulas, preserves the natural phase space, and exactly captures the coupling waves between the two phases. Numerical evidences are given to corroborate the validity of our approach.
Mots clés : two-phase flows, two-fluid two-pressure model, hyperbolic systems, finite volume methods, relaxation schemes, Riemann solvers
@article{M2AN_2009__43_6_1063_0,
author = {Ambroso, Annalisa and Chalons, Christophe and Coquel, Fr\'ed\'eric and Gali\'e, Thomas},
title = {Relaxation and numerical approximation of a two-fluid two-pressure diphasic model},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {1063--1097},
publisher = {EDP-Sciences},
volume = {43},
number = {6},
year = {2009},
doi = {10.1051/m2an/2009038},
mrnumber = {2588433},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/m2an/2009038/}
}
TY - JOUR AU - Ambroso, Annalisa AU - Chalons, Christophe AU - Coquel, Frédéric AU - Galié, Thomas TI - Relaxation and numerical approximation of a two-fluid two-pressure diphasic model JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2009 SP - 1063 EP - 1097 VL - 43 IS - 6 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/m2an/2009038/ DO - 10.1051/m2an/2009038 LA - en ID - M2AN_2009__43_6_1063_0 ER -
%0 Journal Article %A Ambroso, Annalisa %A Chalons, Christophe %A Coquel, Frédéric %A Galié, Thomas %T Relaxation and numerical approximation of a two-fluid two-pressure diphasic model %J ESAIM: Modélisation mathématique et analyse numérique %D 2009 %P 1063-1097 %V 43 %N 6 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/m2an/2009038/ %R 10.1051/m2an/2009038 %G en %F M2AN_2009__43_6_1063_0
Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Galié, Thomas. Relaxation and numerical approximation of a two-fluid two-pressure diphasic model. ESAIM: Modélisation mathématique et analyse numérique, Tome 43 (2009) no. 6, pp. 1063-1097. doi : 10.1051/m2an/2009038. http://archive.numdam.org/articles/10.1051/m2an/2009038/
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