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Simulations numériques de l'équation de Vlasov à l'aide d'outils parallèles

Abstract : The problems related to a laser-matter interaction or turbulence in takomak plasmas encountered in magnetic fusion call for a study of not strongly linear/relativist Vlasov plasmas. It becomes necessary to use powerful tools for simulation on powerful computers in order to better include/understand the physical mechanisms put in play in these two domains. The development of nonparticular (or more exactly semi-Lagrangian) methods for the resolution of kinetic equations and, in particular, for the study of the wave-particle interactions remain a particularly promising way, taking into account the importance of results already obtained. This project aims to make even more powerful the resolution of Vlasov codes through the various parallelisation tools (MPI, OpenMP...). For our work, a simplified ``test case'' served for us as a base for constructing the parallel codes for obtaining a data-processing skeleton which, thereafter, could be re-used for increasingly complex models (more than four variables of phase space). What will thus make it possible to treat more realistic situations linked, for example, to the injection of ultra short and ultra intense impulses in inertial fusion plasmas, or the study of the instability of trapped ions now taken as being responsible for the generation of turbulence in tokamak plasmas.
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https://hal.univ-lorraine.fr/tel-01748366
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Julien Peyroux. Simulations numériques de l'équation de Vlasov à l'aide d'outils parallèles. Autre [cond-mat.other]. Université Henri Poincaré - Nancy 1, 2005. Français. ⟨NNT : 2005NAN10114⟩. ⟨tel-01748366⟩

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