Dispersion and dissipation properties of the 1D spectral volume method and application to a p-multigrid algorithm

被引：47

作者：

Van den Abeele, Kris ^{[1
]}

Broeckhoven, Tim ^{[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 / 224卷 / 02期

关键词：

spectral volume method; wave propagation properties; p-multigrid;

D O I：

10.1016/j.jcp.2006.10.022

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 wave propagation properties of the 1D spectral volume method are studied through analysis of the Fourier footprint of the schemes. A p-multigrid algorithm for the spectral volume method is implemented. Restriction and prolongation operators are discussed and the efficiency of the smoothing operators is analyzed. The results are verified for simple 1D advection problems and for a quasi-1D Euler flow. It is shown that a significant decrease in computational effort is possible with the p-multigrid algorithm. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：616 / 636

页数：21

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