An accuracy and stability study of the 2D spectral volume method

被引：38

作者：

Van den Abeele, Kris ^{[1
]}

Lacor, Chris ^{[1
]}

机构：

[1] Vrije Univ Brussel, Dept Mech Engn, Fluid Dynam & Thermodynam Res Grp, B-1050 Brussels, Belgium

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2007年 / 226卷 / 01期

关键词：

2D spectral volume method; wave propagation properties; stability;

D O I：

10.1016/j.jcp.2007.05.004

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this article, the accuracy and the stability of 2D spectral volume schemes are studied by means of an analysis of the wave propagation properties. It is shown that several SV partitions suffer from a weak instability. Stable schemes with lower dispersion and diffusion errors are proposed. Numerical tests show an important improvement in the accuracy of the fourth-order scheme. (C) 2007 Elsevier Inc. All rights reserved.

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收藏

页码：1007 / 1026

页数：20

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