一种新的可证明稳定的加权状态再分配算法

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

ACS Applied Electronic Materials Pub Date : 2024-09-04 DOI:10.1137/23m1597484

Marsha Berger, Andrew Giuliani

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引用次数: 0

摘要

SIAM 科学计算期刊》，第 46 卷第 5 期，第 A2848-A2873 页，2024 年 10 月。摘要我们提出了一种使用状态重分布的切割单元有限体积实用方法。我们的算法在很多情况下都能证明是单调的、总变异递减的和 GKS（Gustafsson, Kreiss, Sundström）稳定的，并能在切割单元大小接近目标值时连续关闭。我们的分析揭示了原始状态重分布如此有效的原因：它为大多数配置带来了单调方案，尽管有时会受到稍小的 CFL 条件的限制。我们的分析还解释了为什么预合并步骤是有益的。我们展示了二维和三维的计算实验。

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A New Provably Stable Weighted State Redistribution Algorithm

SIAM Journal on Scientific Computing, Volume 46, Issue 5, Page A2848-A2873, October 2024.
Abstract. We propose a practical finite volume method on cut cells using state redistribution. Our algorithm is provably monotone, total variation diminishing, and GKS (Gustafsson, Kreiss, Sundström) stable in many situations, and shuts off continuously as the cut cell size approaches a target value. Our analysis reveals why original state redistribution works so well: it results in a monotone scheme for most configurations, though at times subject to a slightly smaller CFL condition. Our analysis also explains why a premerging step is beneficial. We show computational experiments in two and three dimensions.

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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