A new conservative unsplit method for the solution of the Vlasov equation

被引:37
作者
Elkina, NV
Büchner, J
机构
[1] Max Planck Inst Sonnensystemforsch, D-37191 Katlenburg Lindau, Germany
[2] MV Keldysh Appl Math Inst, Moscow 125047, Russia
关键词
collisionless plasma; high-resolution; monotone method; upwind central scheme; finite volume method; ion-acoustic instability;
D O I
10.1016/j.jcp.2005.09.023
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We have developed a new conservative method for solving the Vlasov equation without using any splitting technique. Our goal is to maintain the positivity of the distribution function and to avoid un-physical oscillations which might lead to numerical instabilities. Based on a finite volume conservative discretization of the conservative form of the Vlasov equation we implemented a highly accurate second-order upwind scheme. In order to avoid un-physical oscillations and their possible numerical instability we apply a flux-limiter in the second order. We validate our new Vlasov solver by considering standard cases of one-dimensional current-driven ion-acoustic instabilities solving a Vlasov-Ampere set of equations. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码:862 / 875
页数:14
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