Paper Info
Title
Asymptotically stable particle-in-cell methods for the Vlasov-Poisson system with a strong external magnetic field
Abstract
This paper deals with the numerical resolution of the Vlasov-Poisson system with a strong external magnetic field by particle-in-cell (PIC) methods. In this regime, classical PIC methods are subject to stability constraints on the time and space steps related to the small Larmor radius and plasma frequency. Here we propose an asymptotic-preserving PIC scheme which is not subjected to these limitations. Our approach is based on first- and higher-order semi-implicit numerical schemes already validated on dissipative systems [S. Boscarino, F. Filbet, and G. Russo, T. Sci. Comput., 2016, doi:10.1007/s10915-016-0168-y[. Additionally, when the magnitude of the external magnetic field becomes large, this method provides a consistent PIC discretization of the guiding-center equation, that is, an incompressible Euler equation in vorticity form. We propose several numerical experiments which provide a solid validation of the method and its underlying concepts.
Year
DOI
Venue
2016
10.1137/15M104952X
SIAM JOURNAL ON NUMERICAL ANALYSIS
Keywords
DocType
Volume
high-order time discretization,Vlasov-Poisson system,guiding-center model,particle methods
Journal
54
Issue
ISSN
Citations 
2
0036-1429
8
PageRank 
References 
Authors
0.98
10
2
Name
Order
Citations
PageRank
Francis Filbet127137.95
luis miguel rodrigues280.98