English

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

Numerical Analysis 2018-05-29 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1805.10888,
  title  = {Numerical Simulations to the Vlasov-Poisson System with a Strong Magnetic Field},
  author = {Francis Filbet and Chang Yang},
  journal= {arXiv preprint arXiv:1805.10888},
  year   = {2018}
}