Geodesic
Relaxation models of phase transition flows
Helluy, Philippe  ; Seguin, Nicolas1 
1 Laboratoire J.-L. Lions, Université Paris VI, France.
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 40 (2006) no. 2, pp. 331-352 Cet article a éte moissonné depuis la source Numdam

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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 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.

DOI : 10.1051/m2an:2006015
Classification : 76M12, 65M12
Keywords: finite volume, entropy optimization, relaxation, phase transition, reactive flows, critical point

Helluy, Philippe  ; Seguin, Nicolas 1

1 Laboratoire J.-L. Lions, Université Paris VI, France. 
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     title = {Relaxation models of phase transition flows},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {331--352},
     year = {2006},
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Helluy, Philippe; Seguin, Nicolas. Relaxation models of phase transition flows. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 40 (2006) no. 2, pp. 331-352. doi: 10.1051/m2an:2006015

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