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Schémas numériques adaptés aux accélérateurs multicoeurs pour les écoulements bifluides

Jonathan Jung 1 
IRMA - Institut de Recherche Mathématique Avancée
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. Basically two types of methods are used to study the dynamics of the interface: the Eulerian approach, also called Capture front ( "front capturing method" ) and the Lagrangian approach, also called the "front tracking method". Our work is rather based on the front capturing method. The two-fluid model is a system of conservation laws of the first order with the balance of mass, momentum and energy of the physical system. This system has to be closed with a mixture pressure law. This law has to be chosen carefully, it conditions good properties of the system as the hyperbolicity or the existence of a Lax entropy . Approximation methods have to be able to translate these properties at the discrete level. Classic conservative Godunov-type schemes can be applied to the two-fluid model. However, they lead to inaccuracies that make them unusable in practice. Finally, the existence of discontinuous solutions makes it difficult to build high order schemes. The complex structure of the solution requires very fine meshes to an acceptable accuracy. It is therefore essential to provide efficient algorithms for most recents parallel computers. In this thesis, we will partially address each of these issues : construction of a "good" pressure law for the mixture, building adapted numerical schemes, programming on GPU or GPU cluster.
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Submitted on : Friday, February 28, 2014 - 7:05:56 PM
Last modification on : Friday, June 19, 2020 - 9:22:05 AM
Long-term archiving on: : Sunday, April 9, 2017 - 7:44:17 PM


  • HAL Id : tel-00876159, version 2


Jonathan Jung. Schémas numériques adaptés aux accélérateurs multicoeurs pour les écoulements bifluides. Equations aux dérivées partielles [math.AP]. Université de Strasbourg, 2013. Français. ⟨tel-00876159v2⟩



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