Numerical Solution of the Vlasov–Ampère Equations
Pub Date : 2024-09-01
DOI:10.1134/s0965542524700714
引用次数: 0
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.
弗拉索夫-安培方程的数值解法
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。
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