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Two properties of two-velocity two-pressure models for two-phase flows

By Frédéric Coquel, Jean-Marc Hérard, Khaled Saleh and Nicolas Seguin

Abstract

International audienceWe study a class of models of compressible two-phase flows. This class, which includes the Baer-Nunziato model, is based on the assumption that each phase is described by its own pressure, velocity and temperature and on the use of void fractions obtained from averaging process. These models are nonconservative and non-strictly hyperbolic. We prove that the mixture entropy is non-strictly convex and that the system admits a symmetric form

Topics: symmetrizable system, entropy, Two-phase flows, 76T05, 35L60, 35F55., [ MATH.MATH-AP ] Mathematics [math]/Analysis of PDEs [math.AP], [ PHYS.MECA.MEFL ] Physics [physics]/Mechanics [physics]/Mechanics of the fluids [physics.class-ph], [ SPI.MECA.MEFL ] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph]
Publisher: International Press
Year: 2014
OAI identifier: oai:HAL:hal-00788902v2
Provided by: Hal-Diderot
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