Interaction of weak free-stream disturbance with an oblique shock:validation of the shock-capturing method

doi:10.1007/s10483-017-2279-9

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (11): 1601-1612.doi: https://doi.org/10.1007/s10483-017-2279-9

Interaction of weak free-stream disturbance with an oblique shock:validation of the shock-capturing method

Caihong SU, Jinlei GENG

Department of Mechanics, Tianjin University, Tianjin 300072, China

收稿日期:2017-04-20 修回日期:2017-05-08 出版日期:2017-11-01 发布日期:2017-11-01
通讯作者: Caihong SU,E-mail:such@tju.edu.cn E-mail:such@tju.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11472188 and 11332007) and the National Key Research and Development Program of China (No. 2016YFA0401200)

Interaction of weak free-stream disturbance with an oblique shock:validation of the shock-capturing method

Caihong SU, Jinlei GENG

Department of Mechanics, Tianjin University, Tianjin 300072, China

Received:2017-04-20 Revised:2017-05-08 Online:2017-11-01 Published:2017-11-01
Contact: Caihong SU E-mail:such@tju.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11472188 and 11332007) and the National Key Research and Development Program of China (No. 2016YFA0401200)

摘要/Abstract

摘要：

Transition prediction is of great importance for the design of long distance flying vehicles. It starts from the problem of receptivity, i.e., how external disturbances trigger instability waves in the boundary layer. For super/hypersonic boundary layers, the external disturbances first interact with the shock ahead of the flying vehicles before entering the boundary layer. Since direct numerical simulation (DNS) is the only available tool for its comprehensive and detailed investigation, an important problem arises whether the numerical scheme, especially the shock-capturing method, can faithfully reproduce the interaction of the external disturbances with the shock, which is so far unknown. This paper is aimed to provide the answer. The interaction of weak disturbances with an oblique shock is investigated, which has a known theoretical solution. Numerical simulation using the shock-capturing method is conducted, and results are compared with those given by theoretical analysis, which shows that the adopted numerical method can faithfully reproduce the interaction of weak external disturbances with the shock.

关键词: high speed flow, shock, multilayer sandwich shells, nonlinear theory, free-stream disturbance, shock-capturing

Abstract:

Key words: shock-capturing, multilayer sandwich shells, nonlinear theory, shock, free-stream disturbance, high speed flow

中图分类号:

76J20
76K05

Caihong SU, Jinlei GENG. Interaction of weak free-stream disturbance with an oblique shock:validation of the shock-capturing method[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(11): 1601-1612.

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Interaction of weak free-stream disturbance with an oblique shock:validation of the shock-capturing method

Interaction of weak free-stream disturbance with an oblique shock:validation of the shock-capturing method

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