Charge-conserving grid based methods for the Vlasov–Maxwell equations

Nicolas Crouseilles (1) , Pierre Navaro (2) , Eric Sonnendrücker (3)

1 IPSO - Invariant Preserving SOlvers
2 IRMA - Institut de Recherche Mathématique Avancée
3 IPP - Max-Planck-Institut für Plasmaphysik [Garching]

In this article we introduce numerical schemes for the Vlasov-Maxwell equations relying on different kinds of grid based Vlasov solvers, as oppo-site to PIC schemes, that enforce a discrete continuity equation. The idea underlying this schemes relies (see [14]) on a time splitting scheme between configuration space and velocity space for the Vlasov equation and on the computation of the discrete current in a form that is compatible with the discrete Maxwell solver.

Mots clés: Maxwell-Vlasov system; discrete continuity equation; Finite Volume method; Spectral method; semi-Lagrangian method

Domaines: Physique Numérique [physics.comp-ph]

Nicolas Crouseilles, Pierre Navaro, Eric Sonnendrücker. Charge-conserving grid based methods for the Vlasov–Maxwell equations. Comptes Rendus Mécanique, 2014, 342, pp.636 - 646. ⟨10.1016/j.crme.2014.06.012⟩. ⟨hal-01090678⟩