Methode particulaire multiniveaux pour la dynamique des gaz, application au calcul d'ecoulements multifluides

Abstract : This work is devoted to the evaluation of the ability of a particle-mesh method, inspired from Vortex-In-Cell methods, to simulate gaz dynamics, especially multifluids. We firstly develop a particle-mesh method, associated with a conservative remeshing step, which is performed with high order interpolating kernels. We study theoretically and numerically this method. This analysis gives evidence of a strong relationship between the particle method and high order Lax-Wendroff-like finite difference schemes. We introduce a new scheme, more accurate, for the advection of particles. Then we implement a multilevel technique, inspired from AMR, which allows to increase locally the accuracy of the computations. Finally we develop a level-set like technique, discretized on the particles, to simulate the interface between compressible flows. We use the multilevel technique to improve the interface resolution and the conservation of partial masses.
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Mathematics [math]. Université Joseph-Fourier - Grenoble I, 2006. French


https://tel.archives-ouvertes.fr/tel-00121346
Contributor : Lisl Weynans <>
Submitted on : Wednesday, December 20, 2006 - 11:51:01 AM
Last modification on : Wednesday, December 20, 2006 - 12:37:40 PM

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Lisl Weynans. Methode particulaire multiniveaux pour la dynamique des gaz, application au calcul d'ecoulements multifluides. Mathematics [math]. Université Joseph-Fourier - Grenoble I, 2006. French. <tel-00121346>

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