| Issue |
ESAIM: Proc.
Volume 32, October 2011
CEMRACS'10 research achievements: Numerical modeling of fusion
|
|
|---|---|---|
| Page(s) | 211 - 230 | |
| DOI | https://doi.org/10.1051/proc/2011022 | |
| Published online | 03 November 2011 | |
Discontinuous Galerkin semi-Lagrangian method for Vlasov-Poisson
1
INRIA, IRMA, Université de Strasbourg,
7, rue Ren Descartes,
67084
Strasbourg, France
2
IRMA, Université de Strasbourg, 7, rue Ren Descartes, 67084
Strasbourg, France
3
Departament de Matemàtica Aplicada, Universitat de
València, calle Dr. Moliner
50, 46100
Burjassot, Spain
We present a discontinuous Galerkin scheme for the numerical approximation of the one-dimensional periodic Vlasov-Poisson equation. The scheme is based on a Galerkin-characteristics method in which the distribution function is projected onto a space of discontinuous functions. We present comparisons with a semi-Lagrangian method to emphasize the good behavior of this scheme when applied to Vlasov-Poisson test cases.
Résumé
Une méthode de Galerkin discontinu est proposée pour l’approximation numérique de l’équation de Vlasov-Poisson 1D. L’approche est basée sur une méthode Galerkin-caractéristiques où la fonction de distribution est projetée sur un espace de fonctions discontinues. En particulier, la méthode est comparée à une méthode semi-Lagrangienne pour l’approximation de l’équation de Vlasov-Poisson.
© EDP Sciences, SAIM 2011
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