Long time behaviour of an exponential integrator for a Vlasov-Poisson system with strong magnetic field - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Communications in Computational Physics Année : 2015

Long time behaviour of an exponential integrator for a Vlasov-Poisson system with strong magnetic field

Résumé

With the aim of solving in a four dimensional phase space a multi-scale Vlasov-Poisson system, we propose in a Particle-In-Cell framework a robust time-stepping method that works uniformly when the small parameter vanishes. As an exponential integrator, the scheme is able to use large time steps with respect to the typical size of the solution's fast oscillations. In addition, we show numerically that the method has accurate long time behaviour and that it is asymptotic preserving with respect to the limiting Guiding Center system.
Fichier principal
Vignette du fichier
paper3.pdf (1.21 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00974028 , version 1 (04-04-2014)
hal-00974028 , version 2 (18-08-2015)

Identifiants

Citer

Emmanuel Frenod, Sever Adrian Hirstoaga, Mathieu Lutz, Eric Sonnendrücker. Long time behaviour of an exponential integrator for a Vlasov-Poisson system with strong magnetic field. Communications in Computational Physics, 2015, 18 (2), pp.263--296. ⟨10.4208/cicp.070214.160115a⟩. ⟨hal-00974028v2⟩
728 Consultations
409 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More