Uniformly accurate particle-in-cell method for the long time behavior of the 2d Vlasov-Poisson equation with strong magnetic field

Jeudi 17 novembre 2016 13:45-14:45 - Nicolas Crouseilles - INRIA Rennes

Résumé : In this talk, we construct numerical schemes for the 2d Vlasov-Poisson equation with a strong magnetic field. The so-obtained scheme is uniformly accurate with respect to the size of the fast time oscillations of the solution. The strategy combines the Particle-In-Cell method with a two-scale formulation of the characteristics, involving an additional periodic variable.
Numerical experiments illustrate the efficiency of the proposed approach.
This work is done in collaboration with M. Lemou, F. Méhats and X. Zhao.

Uniformly accurate particle-in-cell method for the long time behavior of the 2d Vlasov-Poisson equation with strong magnetic field  Version PDF