Abstract : 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.
https://hal.inria.fr/hal-01090678 Contributor : Nicolas CrouseillesConnect in order to contact the contributor Submitted on : Thursday, December 4, 2014 - 6:46:37 AM Last modification on : Friday, May 20, 2022 - 9:04:52 AM Long-term archiving on: : Monday, March 9, 2015 - 5:54:37 AM
Nicolas Crouseilles, Pierre Navaro, Eric Sonnendrücker. Charge-conserving grid based methods for the Vlasov–Maxwell equations. Comptes Rendus Mécanique, Elsevier, 2014, 342, pp.636 - 646. ⟨10.1016/j.crme.2014.06.012⟩. ⟨hal-01090678⟩