An asymptotically stable semi-lagrangian scheme in the quasi-neutral limit - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Scientific Computing Année : 2009

An asymptotically stable semi-lagrangian scheme in the quasi-neutral limit

Résumé

This paper deals with the numerical simulations of the Vlasov-Poisson equation using a phase space grid in the quasi-neutral regime. In this limit, explicit numerical schemes suffer from numerical constraints related to the small Debye length and large plasma frequency. Here, we propose a semi-Lagrangian scheme for the Vlasov-Poisson model in the quasi-neutral limit. The main ingredient relies on a reformulation of the Poisson equation derived in [5] which enables asymptotically stable simulations. This scheme has a comparable numerical cost to that of an explicit scheme. Moreover, it is not constrained by a restriction on the size of the time and length step when the Debye length and plasma period go to zero. A stability analysis and numerical simulations confirm this.
Fichier principal
Vignette du fichier
paperquasiN.pdf (1021.04 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00189383 , version 1 (20-11-2007)

Identifiants

Citer

Radoin Belaouar, Nicolas Crouseilles, Pierre Degond, Eric Sonnendrücker. An asymptotically stable semi-lagrangian scheme in the quasi-neutral limit. Journal of Scientific Computing, 2009, 41, pp.341-365. ⟨10.1007/s10915-009-9302-4⟩. ⟨hal-00189383⟩
258 Consultations
164 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More