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Modèles bi-fluides à six et sept équations pour les écoulements diphasiques à faible nombre de Mach

Angelo Murrone 1, 2, 3
Abstract : This thesis deals with the study of models and numerical methods for low Mach number compressible two phase flows. All numerical methods developed in this study are based on finite volume formulation for unstructured mesh. The first part of the thesis propose an analysis of the behavior of upwind Godunov type schemes in the low Mach number limit. We explain the reasons why these schemes give unaccurate approximations when the flows are near the incompressible limit. We consequently develop preconditioning methods which allow to recover good approximations. This first part of the study complete several recent works on the analysis of upwind schemes in the low Mach number limit. The second part of the thesis deals with a modelling work where we derive a five equation reduced model for compressible two phase flows, starting from a seven equation model which is a slight variation of the original Baer-Nunziato model. This work presents an original method to reduce hyperbolic systems with stiff source terms. We develop for this model an implicit numerical scheme and following the strategy of the first part of the thesis, a preconditioning method for low Mach number flows. With respect to the numerical test we have realized, the model seems very suitable to compute detonations waves and also for the simulation of interfaces between compressible fluids. Finally, we develop for a seven equation model, a numerical implicit scheme based on approximate Riemann solvers, which allows to reduce the cost of the computations of low Mach number two phase flows.
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Contributor : Angelo Murrone <>
Submitted on : Friday, April 23, 2004 - 12:07:59 PM
Last modification on : Sunday, June 10, 2018 - 1:56:01 PM
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  • HAL Id : tel-00005951, version 1



Angelo Murrone. Modèles bi-fluides à six et sept équations pour les écoulements diphasiques à faible nombre de Mach. Sciences de la Terre. Université de Provence - Aix-Marseille I, 2003. Français. ⟨tel-00005951⟩



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