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A Simple Method for Compressible Multiphase Mixtures and Interfaces

Nikolai Andrianov 1 Richard Saurel Gerald Warnecke
1 SMASH - Simulation, modeling and analysis of heterogeneous systems
CRISAM - Inria Sophia Antipolis - Méditerranée , Université de Provence - Aix-Marseille 1
Abstract : We develop a Godunov-type scheme for a non-conservative, unconditional hyperbolic multiphase model. It involves a set of seven partial differential equations and has the ability to solve interface problems between pure materials as well as compressible multiphase mixtures with two velocities and non-equilibrium thermodynamics (two pressures, two temperatures, two densities, etc.). Its numerical resolution poses several difficulties. The model possesses a large number of acoustic and convective waves (seven waves) and it is not easy to upwind all these waves accurately and simply. Also, the system is non-conservative, and the numerical approximations of the corresponding terms need to be provided. In this paper we focus on a method, based on a characteristic decomposition which solves these problems in a simple way and with good accuracy. The robustness, accuracy and versatility of the method is clearly demonstrated on several test problems with exact solutions.
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https://hal.inria.fr/inria-00072340
Contributor : Rapport de Recherche Inria <>
Submitted on : Tuesday, May 23, 2006 - 8:28:17 PM
Last modification on : Saturday, January 27, 2018 - 1:31:27 AM
Long-term archiving on: : Sunday, April 4, 2010 - 8:51:05 PM

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  • HAL Id : inria-00072340, version 1

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Nikolai Andrianov, Richard Saurel, Gerald Warnecke. A Simple Method for Compressible Multiphase Mixtures and Interfaces. RR-4247, INRIA. 2001. ⟨inria-00072340⟩

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