| Issue |
ESAIM: M2AN
Volume 40, Number 2, March-April 2006
|
|
|---|---|---|
| Page(s) | 331 - 352 | |
| DOI | https://doi.org/10.1051/m2an:2006015 | |
| Published online | 21 June 2006 | |
Relaxation models of phase transition flows
1
ISITV/MNC, BP 56, 83162 La Valette Cedex, France. helluy@univ-tln.fr
2
Laboratoire J.-L. Lions, Université Paris VI, Boite courrier 187, 75252 Paris Cedex 05, France.
Received:
2
May
2005
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.
Mathematics Subject Classification: 76M12 / 65M12
Key words: Finite volume / entropy optimization / relaxation / phase transition / reactive flows / critical point.
© EDP Sciences, SMAI, 2006
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