Long Time Behaviour of an Exponential Integrator for a Vlasov-Poisson System with Strong Magnetic Field

Emmanuel Frénod, Sever A. Hirstoaga, Mathieu Lutz, Eric Sonnendrücker

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

Abstract

With the aim of solving in a four dimensional phase space a multi-scale Vlasov-Poisson system, we propose in a Particle-In-Cell framework a robust time-stepping method that works uniformly when the small parameter vanishes. As an exponential integrator, the scheme is able to use large time steps with respect to the typical size of the solution's fast oscillations. In addition, we show numerically that the method has accurate long time behaviour and that it is asymptotic preserving with respect to the limiting Guiding Center system.

Original languageEnglish
Pages (from-to)263-296
Number of pages34
JournalCommunications in Computational Physics
Volume18
Issue number2
DOIs
StatePublished - 30 Jul 2015

Keywords

  • Guiding-Center
  • Particle-In-Cell method
  • Vlasov-Poisson system
  • highly oscillatory ODEs
  • long-time simulation

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