Skip to Main content Skip to Navigation
Theses

Optimisation de méthodes numériques pour la physique des plasmas : application aux faisceaux de particules chargées

Abstract : This thesis presents different numerical methods for the simulation of plasmas or charged particles beams with reduced cost. Movement of charged particles in an electromagnetic field is given by the Vlasov equation, coupled to the Maxwell equations for the electromagnetic field, or to the Poisson equation. In the first part, a multi-fluid method is used for solving the 1D Vlasov-Poisson system. It is based on the a priori knowledge of the shape of f. This kind of methods is rather adapted to systems staying close to the equilibrium. The second part presents the decomposition of f between an equilibrium part and a perturbation. The equilibrium part is solved by a fluid method whereas we use a kinetic method for the perturbation. We construct an asymptotic preserving scheme for the Vlasov-Poisson-BGK system using such a decomposition. The third part deals with the PIC method in 2D axisymmetric geometry. A work based on isogeometric analysis is presented, and then a PIC - Discontinuous Galerkin program computed on graphic card.
Document type :
Theses
Complete list of metadatas

https://tel.archives-ouvertes.fr/tel-00735569
Contributor : Anaïs Crestetto <>
Submitted on : Monday, November 26, 2012 - 10:17:32 AM
Last modification on : Friday, June 19, 2020 - 9:22:04 AM
Long-term archiving on: : Saturday, December 17, 2016 - 3:37:19 PM

Identifiers

  • HAL Id : tel-00735569, version 4

Collections

Citation

Anaïs Crestetto. Optimisation de méthodes numériques pour la physique des plasmas : application aux faisceaux de particules chargées. Physique mathématique [math-ph]. Université de Strasbourg, 2012. Français. ⟨NNT : 2012STRAD027⟩. ⟨tel-00735569v4⟩

Share

Metrics

Record views

792

Files downloads

568