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Relaxation models of phase transition flows

Published online by Cambridge University Press:  21 June 2006

Philippe Helluy  and
Nicolas Seguin
Philippe Helluy
Affiliation:
ISITV/MNC, BP 56, 83162 La Valette Cedex, France. helluy@univ-tln.fr
Nicolas Seguin
Affiliation:
Laboratoire J.-L. Lions, Université Paris VI, Boite courrier 187, 75252 Paris Cedex 05, France.
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Abstract

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.

Keywords

Finite volumeentropy optimizationrelaxationphase transitionreactive flowscritical point.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 40 , Issue 2 , March 2006 , pp. 331 - 352
Copyright
© EDP Sciences, SMAI, 2006

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