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entropy optimization

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Relaxation models of phase transition flows
Philippe Helluy, Nicolas Seguin
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 40 / Issue 2 / March 2006

Published online by Cambridge University Press:

21 June 2006, pp. 331-352

Print publication:

March 2006
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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.