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.
@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 - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {40},
year = {2006},
pages = {331-352},
doi = {10.1051/m2an:2006015},
mrnumber = {2241826},
zbl = {1108.76078},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2006__40_2_331_0}
}
Helluy, Philippe; Seguin, Nicolas. Relaxation models of phase transition flows. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 40 (2006) pp. 331-352. doi : 10.1051/m2an:2006015. http://gdmltest.u-ga.fr/item/M2AN_2006__40_2_331_0/
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