Numerical approximation of the Vlasov-Maxwell-Fokker-Planck system in two dimensions

被引：4

作者：

Wollman, Stephen ^{[1
]}

机构：

[1] CUNY, Coll Staten Isl, Staten Isl, NY 10314 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2012年 / 231卷 / 09期

关键词：

Collisional plasma; Two dimensional Vlasov-Maxwell-Fokker-Planck system; Deterministic particle method; STREAMLINE DIFFUSION; CLASSICAL-SOLUTIONS; ELECTRON-TRANSPORT; PARTICLE METHODS; FIELD LIMIT; CONVERGENCE; EQUATION; SCHEME; EXISTENCE; PLASMAS;

D O I：

10.1016/j.jcp.2011.12.018

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A numerical method is developed for solving the Vlasov-Maxwell-Fokker-Planck system in two spatial dimensions. This system of equations is a model for a collisional plasma in the presence of a self consistent electromagnetic field. The numerical procedure is a type of deterministic particle method and is an extension to include the full electromagnetic field of the approximation method of Wollman and Ozizmir [S. Wollman, E. Ozizmir, Numerical approximation of the Vlasov-Poisson-Fokker-Planck system in two dimensions, J. Comput. Phys. 228 (2009) 6629-6669]. In addition, the long time asymptotic behavior of solutions is studied. It is determined that the solution to the Vlasov-Maxwell-Fokker-Planck system converges to the same steady state solution as that for the Vlasov-Poisson-Fokker-Planck system. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：3483 / 3517

页数：35

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