Uniformly accurate Particle-in-Cell method for the long time solution of the two-dimensional Vlasov-Poisson equation with uniform strong magnetic field

JOURNAL OF COMPUTATIONAL PHYSICS

卷:346

Article

Crouseilles, Nicolas^1,2  Lemou, Mohammed^1,2,3  Mehats, Florian^1,2  Zhao, Xiaofei^1,2 

[1] Univ Rennes 1, IRMAR, Rennes, France

[2] INRIA, Rennes Bretagne Atlantique, IPSO Project, Rennes, France

[3] Univ Rennes 1, CNRS, Rennes, France

关键词: Kinetic models;    Vlasov-Poisson equation;    Highly oscillatory;    Four dimensional;    Uniformly accurate;    Particle-in-Cell;    Two-scale formulation;   

DOI  :  10.1016/j.jcp.2017.06.011

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

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