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Schémas numériques adaptés aux accélérateurs multicoeurs pour les écoulements bifluides

Abstract : This thesis deals with the modeling and numerical approximation of compressible gas-liquid flows. The main difficulty lies in modeling and approximation of the liquid-gas interface. The two-fluid model is a system of conservation laws closed with a mixture pressure law. The law has to be chosen carefully, it conditions good properties of the system as hyperbolicity or existence of a Lax entropy. Classic conservative Godunov-type schemes lead to inaccuracies that make them unusable inpractice. The existence of discontinuous solutions makes it difficult to build high order schemes and requires very fine meshes to an acceptable accuracy. It is therefore essential to provide efficient algorithms for the High Performance Computing. In this thesis, we will partially treat each of these issues : construction of a "good" pressure law, building adapted numerical schemes, programming on GPU or GPU cluster.
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Submitted on : Tuesday, June 9, 2015 - 1:07:06 PM
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  • HAL Id : tel-00876159, version 3

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Jonathan Jung. Schémas numériques adaptés aux accélérateurs multicoeurs pour les écoulements bifluides. Physique mathématique [math-ph]. Université de Strasbourg, 2013. Français. ⟨NNT : 2013STRAD034⟩. ⟨tel-00876159v3⟩

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