Approximation of Liquid-Vapor Phase Transition for Compressible Fluids with Tabulated EOS

Gloria Faccanoni 1, * Samuel Kokh 2 Grégoire Allaire 3
* Auteur correspondant
1 IMATH - Institut de Mathématiques de Toulon - EA 2134
2 LETR - Laboratoire d'Etudes Thermiques des Réacteurs
DM2S - Département de Modélisation des Systèmes et Structures : DEN/DM2S/SFME/LETR
3 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
Abstract : This Note investigates the approximation of phase change in compressible fluids with complex equation of state (EOS). Assuming a local and instantaneous equilibrium with respect to phasic pressures, temperatures and chemical potentials when both phases are present leads to the classical de nition of an equilibrium EOS for the two-phase medium. Unfortunately, there is no explicit expression of the equilibrium EOS in most cases. We propose simple means to approximate the equilibrium EOS when both phases are governed by very general EOS, including tabulated ones. We present a relaxation type numerical algorithm based on this approximation for simulating two-phase flows with phase change.
Type de document :
Article dans une revue
Comptes Rendus de l'Académie des Sciences, Elsevier - Masson 2010, 348, pp.473-478. 〈10.1016/j.crma.2010.01.012〉
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https://hal-univ-tln.archives-ouvertes.fr/hal-00976950
Contributeur : Gloria Faccanoni <>
Soumis le : jeudi 10 avril 2014 - 15:36:12
Dernière modification le : lundi 2 juillet 2018 - 10:02:02

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Gloria Faccanoni, Samuel Kokh, Grégoire Allaire. Approximation of Liquid-Vapor Phase Transition for Compressible Fluids with Tabulated EOS. Comptes Rendus de l'Académie des Sciences, Elsevier - Masson 2010, 348, pp.473-478. 〈10.1016/j.crma.2010.01.012〉. 〈hal-00976950〉

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