Asymptotic preserving schemes for highly oscillatory kinetic equation - Université de Rennes Accéder directement au contenu
Article Dans Une Revue Journal of Computational Physics Année : 2013

Asymptotic preserving schemes for highly oscillatory kinetic equation

Résumé

This work is devoted to the numerical simulation of a Vlasov-Poisson model describing a charged particle beam under the action of a rapidly oscillating external electric field. We construct an Asymptotic Preserving numerical scheme for this kinetic equation in the highly oscillatory limit. This scheme enables to simulate the problem without using any time step refinement technique. Moreover, since our numerical method is not based on the derivation of the simulation of asymptotic models, it works in the regime where the solution does not oscillate rapidly, and in the highly oscillatory regime as well. Our method is based on a "double-scale" reformulation of the initial equation, with the introduction of an additional periodic variable.

Dates et versions

hal-00743077 , version 1 (18-10-2012)

Identifiants

Citer

Nicolas Crouseilles, Mohammed Lemou, Florian Méhats. Asymptotic preserving schemes for highly oscillatory kinetic equation. Journal of Computational Physics, 2013, 248, pp.287-308. ⟨hal-00743077⟩
205 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More