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-Poissonsystem with a strong external magnetic field by Particle-In-Cell(PIC) methods. In this regime, classical PIC methods are subject tostability constraints on the time and space steps related to the smallLarmor radius and plasma frequency. Here, we propose anasymptotic-preserving PIC scheme which is not subjected to theselimitations. Our approach is based on first and higher order semi-implicit numericalschemes already validated on dissipative systems. Additionally, when the magnitude of the external magneticfield becomes large, this method provides a consistent PICdiscretization of the guiding-center equation, that is, incompressibleEuler equation in vorticity form. We propose several numerical experiments which provide a solid validation of the method and its underlying concepts.
Keywords
Cite
@article{arxiv.1511.07400,
title = {Asymptotically stable particle-in-cell methods for the Vlasov-Poisson system with a strong external magnetic field},
author = {Francis Filbet and Luis Miguel Rodrigues},
journal= {arXiv preprint arXiv:1511.07400},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1011.4282, arXiv:1112.1859 by other authors