弗拉索夫-安培方程的数值解法

IF 0.7 4区数学 Q3 MATHEMATICS, APPLIED

Computational Mathematics and Mathematical Physics Pub Date : 2024-09-01 DOI:10.1134/s0965542524700714

E. V. Chizhonkov

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引用次数: 0

摘要

摘要为基于 Vlasov-Ampère 方程的动力学等离子体模型构建了一种隐式 MacCormack 方案。与显式方案相比，它的稳定性限制较弱，但保持了计算效率，即不涉及内部迭代。总能量的误差与二阶精确算法相对应，总电荷（粒子数）在网格级别上得到保留。以短强激光脉冲激发等离子体波的形成为例进行建模。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Numerical Solution of the Vlasov–Ampère Equations

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Numerical Solution of the Vlasov–Ampère Equations

Abstract

An implicit MacCormack-type scheme is constructed for a kinetic plasma model based on the Vlasov–Ampère equations. As compared with the explicit scheme, it has a weaker stability restriction, but preserves computational efficiency, i.e., it does not involve inner iterations. The error of the total energy corresponds to a second-order accurate algorithm, and the total charge (number of particles) is preserved at the grid level. The formation of plasma waves excited by a short intense laser pulse is modeled as an example.

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来源期刊

Computational Mathematics and Mathematical Physics MATHEMATICS, APPLIED-PHYSICS, MATHEMATICAL

CiteScore

1.50

自引率

14.30%

发文量

125

审稿时长

4-8 weeks

期刊介绍： Computational Mathematics and Mathematical Physics is a monthly journal published in collaboration with the Russian Academy of Sciences. The journal includes reviews and original papers on computational mathematics, computational methods of mathematical physics, informatics, and other mathematical sciences. The journal welcomes reviews and original articles from all countries in the English or Russian language.