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Relaxation models of phase transition flows

Published online by Cambridge University Press:  21 June 2006

Philippe Helluy
Affiliation:
ISITV/MNC, BP 56, 83162 La Valette Cedex, France. [email protected]
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 optimizationproblem 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.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 2006

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