Geodesic
Relaxation models of phase transition flows
Helluy, Philippe  ; Seguin, Nicolas1 
1 Laboratoire J.-L. Lions, Université Paris VI, France.
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 40 (2006) no. 2, pp. 331-352

Voir la notice de l'article provenant de la source Numdam

In this work, we propose a general framework for the construction of pressure law for phase transition. These equations of state are particularly suitable for a use in a relaxation finite volume scheme. The approach is based on a constrained convex optimization problem on the mixture entropy. It is valid for both miscible and immiscible mixtures. We also propose a rough pressure law for modelling a super-critical fluid.

DOI : 10.1051/m2an:2006015
Classification : 76M12, 65M12
Keywords: finite volume, entropy optimization, relaxation, phase transition, reactive flows, critical point

Helluy, Philippe  ; Seguin, Nicolas 1

1 Laboratoire J.-L. Lions, Université Paris VI, France. 
@article{M2AN_2006__40_2_331_0,
     author = {Helluy, Philippe and Seguin, Nicolas},
     title = {Relaxation models of phase transition flows},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {331--352},
     publisher = {EDP-Sciences},
     volume = {40},
     number = {2},
     year = {2006},
     doi = {10.1051/m2an:2006015},
     mrnumber = {2241826},
     zbl = {1108.76078},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2006015/}
}
TY  - JOUR
AU  - Helluy, Philippe
AU  - Seguin, Nicolas
TI  - Relaxation models of phase transition flows
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2006
SP  - 331
EP  - 352
VL  - 40
IS  - 2
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/m2an:2006015/
DO  - 10.1051/m2an:2006015
LA  - en
ID  - M2AN_2006__40_2_331_0
ER  - 
%0 Journal Article
%A Helluy, Philippe
%A Seguin, Nicolas
%T Relaxation models of phase transition flows
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2006
%P 331-352
%V 40
%N 2
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/m2an:2006015/
%R 10.1051/m2an:2006015
%G en
%F M2AN_2006__40_2_331_0
Helluy, Philippe; Seguin, Nicolas. Relaxation models of phase transition flows. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 40 (2006) no. 2, pp. 331-352. doi: 10.1051/m2an:2006015

Cité par Sources :