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Modélisation des déséquilibres mécaniques pour les écoulements diphasiques : approches par relaxation et par modèle réduit

Mathieu Labois 1, 2
2 SMASH - Simulation, modeling and analysis of heterogeneous systems
CRISAM - Inria Sophia Antipolis - Méditerranée , Université de Provence - Aix-Marseille 1
Abstract : This thesis deals with hyperbolic models for the simulation of compressible two-phase flows, to find alternatives to the classical bifluid model. We first establish a hierarchy of two-phase flow models, obtained according to equilibrium hypothesis between the physical variables of each phase. The use of Chapman-Enskog expansions enables us to link the different existing models to each other. Moreover, models that take into account small physical unbalances are obtained by means of expansion to the order one. The second part of this thesis focuses on the simulation of flows featuring velocity unbalances and pressure balances, in two different ways. First, a two-velocity two-pressure model is used, where non-instantaneous velocity and pressure relaxations are applied so that a balancing of these variables is obtained. A new one-velocity one-pressure dissipative model is then proposed, where the arising of second-order terms enables us to take into account unbalances between the phase velocities. We develop a numerical method based on a fractional step approach for this model.
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https://tel.archives-ouvertes.fr/tel-00338818
Contributor : Mathieu Labois <>
Submitted on : Friday, November 14, 2008 - 2:55:23 PM
Last modification on : Tuesday, April 28, 2020 - 11:28:09 AM
Long-term archiving on: : Monday, June 7, 2010 - 9:28:22 PM

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  • HAL Id : tel-00338818, version 1

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Mathieu Labois. Modélisation des déséquilibres mécaniques pour les écoulements diphasiques : approches par relaxation et par modèle réduit. Modélisation et simulation. Université de Provence - Aix-Marseille I, 2008. Français. ⟨tel-00338818⟩

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