Long time behaviour of an exponential integrator for a Vlasov-Poisson system with strong magnetic field

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.
Complete list of metadatas

Cited literature [22 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00974028
Contributor : Sever Hirstoaga <>
Submitted on : Tuesday, August 18, 2015 - 11:33:18 AM
Last modification on : Friday, April 12, 2019 - 8:08:03 AM
Long-term archiving on : Thursday, November 19, 2015 - 10:53:41 AM

File

paper3.pdf
Files produced by the author(s)

Identifiers

Citation

Emmanuel Frenod, Sever Adrian Hirstoaga, Mathieu Lutz, Eric Sonnendrücker. Long time behaviour of an exponential integrator for a Vlasov-Poisson system with strong magnetic field. Communications in Computational Physics, Global Science Press, 2015, 18 (2), pp.263--296. ⟨10.4208/cicp.070214.160115a⟩. ⟨hal-00974028v2⟩

Share

Metrics

Record views

727

Files downloads

376