Relaxation models of phase transition flows

Philippe Helluy; Nicolas Seguin

ESAIM: Mathematical Modelling and Numerical Analysis (2006)

  • Volume: 40, Issue: 2, page 331-352
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Helluy, Philippe, and Seguin, Nicolas. "Relaxation models of phase transition flows." ESAIM: Mathematical Modelling and Numerical Analysis 40.2 (2006): 331-352. <http://eudml.org/doc/249684>.

@article{Helluy2006,
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. },
author = {Helluy, Philippe, Seguin, Nicolas},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Finite volume; entropy optimization; relaxation; phase transition; reactive flows; critical point.; relaxation finite volume scheme; convex optimization; mixture entropy},
language = {eng},
month = {6},
number = {2},
pages = {331-352},
publisher = {EDP Sciences},
title = {Relaxation models of phase transition flows},
url = {http://eudml.org/doc/249684},
volume = {40},
year = {2006},
}

TY - JOUR
AU - Helluy, Philippe
AU - Seguin, Nicolas
TI - Relaxation models of phase transition flows
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2006/6//
PB - EDP Sciences
VL - 40
IS - 2
SP - 331
EP - 352
AB - 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.
LA - eng
KW - Finite volume; entropy optimization; relaxation; phase transition; reactive flows; critical point.; relaxation finite volume scheme; convex optimization; mixture entropy
UR - http://eudml.org/doc/249684
ER -

References

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