Article ID Journal Published Year Pages File Type
4967256 Journal of Computational Physics 2017 19 Pages PDF
Abstract
In this work, we focus on the numerical resolution of the four dimensional phase space Vlasov-Poisson system subject to a uniform strong external magnetic field. To do so, we consider a Particle-in-Cell based method, for which the characteristics are reformulated by means of the two-scale formalism, which is well-adapted to handle highly-oscillatory equations. Then, a numerical scheme is derived for the two-scale equations. The so-obtained scheme enjoys a uniform accuracy property, meaning that its accuracy does not depend on the small parameter. Several numerical results illustrate the capabilities of the method.
Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
Authors
, , , ,