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A strategy to suppress recurrence in grid-based Vlasov solvers

le 12 novembre 2014

14h - Groupe de travail "Applications des Mathématiques"

ENS Rennes Bâtiment Sauvy, Salle 5 (rdc)

Séminaire de Lukas Einkemmer (Innsbruck) au groupe de travail "Applications des mathématiques"

Groupe de travail


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Résumé :
We propose a strategy to suppress the recurrence effect present in grid-based Vlasov solvers. This method is formulated by introducing a cutoff frequency in Fourier space. Since this cutoff only has to be performed after a number of time steps, the scheme can be implemented efficiently and can relatively easily be incorporated into existing Vlasov solvers. Furthermore, the scheme proposed retains the advantage of grid-based methods in that high accuracy can be achieved. We will illustrate the utility of the method proposed by presenting the results of a number of numerical simulations, including the plasma echo phenomenon, using a semi-Lagrangian discontinuous Galerkin approximation based on Strang splitting.

Recherche - Valorisation
Thibaut Deheuvels et Nicolas Crouseilles

Mise à jour le 6 janvier 2015