A high-wavenumber viscosity for high-resolution numerical methods

被引：151
|
作者：
Cook, AW [1 ]
Cabot, WH [1 ]
机构：
[1] Lawrence Livermore Natl Lab, Livermore, CA 94551 USA
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2004年 / 195卷 / 02期
关键词：
artificial viscosity; compact schemes; shock capturing;
D O I：
10.1016/j.jcp.2003.10.012
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A spectral-like viscosity is proposed for centered differencing schemes to help stabilize numerical solutions and reduce oscillations near discontinuities. Errors introduced by the added dissipation can be made arbitrarily small by adjusting the power of the derivative in the viscosity term. The high-wavenumber viscosity is combined with a 10th-order compact scheme to produce an accurate and efficient shock-capturing method. The new scheme compares favorably with other shock-capturing algorithms. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：594 / 601
页数：8
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