Modified Lawson Methods for Vlasov Equations

IF 4.3 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

ACS Applied Electronic Materials Pub Date : 2024-05-08 DOI:10.1137/22m154301x

Benjamin Boutin, Anaïs Crestetto, Nicolas Crouseilles, Josselin Massot

引用次数: 0

Abstract

SIAM Journal on Scientific Computing, Volume 46, Issue 3, Page A1574-A1598, June 2024.
Abstract. In this work, Lawson type numerical methods are studied to solve Vlasov type equations on a phase space grid. These time integrators are known to satisfy enhanced stability properties in this context since they do not suffer from the stability condition induced from the linear part. We introduce here a class of modified Lawson integrators in which the linear part is approximated in such a way that some geometric properties of the underlying model are preserved, which has important consequences for the analysis of the scheme. Several Vlasov–Maxwell examples are presented to illustrate the good behavior of the approach.

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弗拉索夫方程的修正劳森方法

SIAM 科学计算期刊》，第 46 卷第 3 期，第 A1574-A1598 页，2024 年 6 月。摘要本文研究了求解相空间网格上 Vlasov 型方程的 Lawson 型数值方法。众所周知，这些时间积分器在这种情况下满足增强的稳定性能，因为它们不受线性部分引起的稳定性条件的影响。我们在此介绍一类修正的 Lawson 积分器，其中线性部分的近似方式保留了基础模型的某些几何特性，这对方案分析具有重要影响。我们列举了几个 Vlasov-Maxwell 例子来说明这种方法的良好性能。

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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来源期刊

ACS Applied Electronic Materials Multiple-

CiteScore

7.20

自引率

4.30%

发文量

567