Developing shock-capturing difference methods

被引：0
|
作者：
涂国华 [1 ]
袁湘江 [2 ]
陆利蓬 [3 ]
机构：
[1] China Aerodynamics Research and Development Center,Mianyang 621000,Sichuan Province,P. R. China Tianjin Key Laboratory of Modern Engineering Mechanics,Tianjin 300072,P. R. China National CFD Laboratory,Beihang University,Beijing 100083,P. R. China
[2] China Aerodynamics Research and Development Center,Mianyang 621000,Sichuan Province,P. R. China National CFD Laboratory,Beihang University,Beijing 100083,P. R. China
[3] School of Jet Propulsion,Beihang University,Beijing 100083,P. R. China
来源：
Applied Mathematics and Mechanics(English Edition) | 2007年 / 04期
基金：
中国国家自然科学基金;
关键词：
high order scheme; shock-capturing; upwind scheme; compact scheme; high resolution; conservative scheme;
D O I：
暂无
中图分类号：
O346.1 [断裂理论];
学科分类号：
080102 ;
摘要：
A new shock-capturing method is proposed which is based on upwind schemes and flux-vector splittings. Firstly, original upwind schemes are projected along characteristic directions. Secondly, the amplitudes of the characteristic decompositions are carefully controlled by limiters to prevent non-physical oscillations. Lastly, the schemes are converted into conservative forms, and the oscillation-free shock-capturing schemes are acquired. Two explicit upwind schemes (2nd-order and 3rd-order) and three compact upwind schemes (3rd-order, 5th-order and 7th-order) are modified by the method for hyperbolic systems and the modified schemes are checked on several one-dimensional and two-dimensional test cases. Some numerical solutions of the schemes are compared with those of a WENO scheme and a MP scheme as well as a compact-WENO scheme. The results show that the method with high order accuracy and high resolutions can capture shock waves smoothly.
引用
收藏
页码：477 / 486
页数：10
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