A criterion for asymptotic preserving schemes of kinetic equations to be uniformly stationary preserving

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.3934/krm.2021026

Casimir Emako, F. Kanbar, C. Klingenberg, M. Tang

引用次数: 1

Abstract

In this work we are interested in the stationary preserving property of asymptotic preserving (AP) schemes for kinetic models. We introduce a criterion for AP schemes for kinetic equations to be uniformly stationary preserving (SP). Our key observation is that as long as the Maxwellian of the distribution function can be updated explicitly, such AP schemes are also SP. To illustrate our observation, three different AP schemes for three different kinetic models are considered. Their SP property is proved analytically and tested numerically, which confirms our observations.

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动力学方程渐近保持格式一致平稳保持的判据

在这项工作中，我们感兴趣的是动力学模型的渐近保持(AP)格式的平稳保持性质。我们引入了动力学方程的AP格式是一致平稳保持(SP)的准则。我们的关键观察是，只要分布函数的麦克斯韦式可以显式更新，这样的AP方案也是SP。为了说明我们的观察，我们考虑了三种不同动力学模型的三种不同的AP方案。对它们的SP性质进行了分析证明和数值测试，证实了我们的观察结果。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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