Relaxation and numerical approximation of a two-fluid two-pressure diphasic model
Ambroso, Annalisa ; Chalons, Christophe ; Coquel, Frédéric1 ; Galié, Thomas
1 Université Pierre et Marie Curie-Paris 6, UMR 7598, Laboratoire Jacques-Louis Lions, 75005 Paris, France.
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 43 (2009) no. 6, pp. 1063-1097.

Voir la notice de l'article dans Numdam

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.

DOI : 10.1051/m2an/2009038
Classification : 76T10, 35L60, 76M12
Mots-clés : two-phase flows, two-fluid two-pressure model, hyperbolic systems, finite volume methods, relaxation schemes, Riemann solvers

Ambroso, Annalisa  ; Chalons, Christophe  ; Coquel, Frédéric 1 ; Galié, Thomas 

1 Université Pierre et Marie Curie-Paris 6, UMR 7598, Laboratoire Jacques-Louis Lions, 75005 Paris, France. 
@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: Mathematical Modelling and Numerical Analysis },
     pages = {1063--1097},
     publisher = {EDP-Sciences},
     volume = {43},
     number = {6},
     year = {2009},
     doi = {10.1051/m2an/2009038},
     mrnumber = {2588433},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/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: Mathematical Modelling and Numerical Analysis 
PY  - 2009
SP  - 1063
EP  - 1097
VL  - 43
IS  - 6
PB  - EDP-Sciences
UR  - https://geodesic-test.mathdoc.fr/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: Mathematical Modelling and Numerical Analysis 
%D 2009
%P 1063-1097
%V 43
%N 6
%I EDP-Sciences
%U https://geodesic-test.mathdoc.fr/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: Mathematical Modelling and Numerical Analysis , Tome 43 (2009) no. 6, pp. 1063-1097. doi : 10.1051/m2an/2009038. https://geodesic-test.mathdoc.fr/articles/10.1051/m2an/2009038/

Cité par Sources :