Numerical Simulations to the Vlasov-Poisson System with a Strong Magnetic Field

Francis Filbet (1) , Chang Yang (2)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 Department of Mathematics

In this paper, we present an efficient Particle-In-Cell algorithm for the simulation of the three dimensional Vlasov-Poisson system in the presence of a strong external magnetic field. When the intensity of the magnetic field is sufficiently large and for any time step, the numerical scheme provides formally a consistent approximation of the drift-kinetic model, which corresponds to the asymptotic model. Numerical results show that this new Particle-In-Cell method is efficient and accurate large time steps.

Domaines: Analyse numérique [math.NA]

Francis Filbet, Chang Yang. Numerical Simulations to the Vlasov-Poisson System with a Strong Magnetic Field. 2018. ⟨hal-01800438⟩