MECHANISM FOR THE TRANSITION FROM A REGULAR REFLECTION TO A MACH REFLECTION OR A VON NEUMANN REFLECTION

doi:10.1016/S0252-9602(16)30050-9

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (3): 931-944.doi: 10.1016/S0252-9602(16)30050-9

MECHANISM FOR THE TRANSITION FROM A REGULAR REFLECTION TO A MACH REFLECTION OR A VON NEUMANN REFLECTION

吴法¹, 戴晖辉², 孔德兴^1,3

1. Department of Mathematics, Zhejiang University, Hangzhou 310027, China;
2. Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong;
3. Department of Mathematics, Zhongyuan University of Technology, Zhengzhou 450007, China

收稿日期:2015-01-18 修回日期:2015-07-02 出版日期:2016-06-25 发布日期:2016-06-25
通讯作者: Huihui DAI,E-mail:mahhdai@cityu.edu.hk E-mail:mahhdai@cityu.edu.hk
作者简介:Fa WU,E-mail:wufa85zju.edu.cn;Dexing KONG,E-mail:dkong@zju.edu.cn
基金资助:
Wu and Kong are supported by the NNSF of China (11271323, 91330105) and the Zhejiang Provincial Natural Science Foundation of China (LZ13A010002); Dai is supported by a GRF grant (CityU 11303015) from the Research Grants Council of Hong Kong SAR, China.

MECHANISM FOR THE TRANSITION FROM A REGULAR REFLECTION TO A MACH REFLECTION OR A VON NEUMANN REFLECTION

Fa WU¹, Huihui DAI², Dexing KONG^1,3

1. Department of Mathematics, Zhejiang University, Hangzhou 310027, China;
2. Department of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong;
3. Department of Mathematics, Zhongyuan University of Technology, Zhengzhou 450007, China

Received:2015-01-18 Revised:2015-07-02 Online:2016-06-25 Published:2016-06-25
Contact: Huihui DAI,E-mail:mahhdai@cityu.edu.hk E-mail:mahhdai@cityu.edu.hk
Supported by:
Wu and Kong are supported by the NNSF of China (11271323, 91330105) and the Zhejiang Provincial Natural Science Foundation of China (LZ13A010002); Dai is supported by a GRF grant (CityU 11303015) from the Research Grants Council of Hong Kong SAR, China.

摘要/Abstract

摘要：

In this paper, by taking into account the thickness of the incident shock as well as the influence of the boundary layer, we point out that even in a regular reflection there should be present a contact discontinuity. By using the smallest energy criterion, the inclined angle of this contact discontinuity can be determined for differen incident angle. Then, with this inclined contact discontinuity, together with the law of conservation of mass, the mechanism for the transition from a regular reflection to a Mach reflection or a von Neumann reflection becomes clear. The important roles played by the leftest point in the reflected shock polar are identified.

关键词: steady flows, shock wave, shock polar, regular reflection, Mach reflection, von Neumann reflection

Abstract:

Key words: steady flows, shock wave, shock polar, regular reflection, Mach reflection, von Neumann reflection

中图分类号:

35L65

吴法, 戴晖辉, 孔德兴. MECHANISM FOR THE TRANSITION FROM A REGULAR REFLECTION TO A MACH REFLECTION OR A VON NEUMANN REFLECTION[J]. 数学物理学报(英文版), 2016, 36(3): 931-944.

Fa WU, Huihui DAI, Dexing KONG. MECHANISM FOR THE TRANSITION FROM A REGULAR REFLECTION TO A MACH REFLECTION OR A VON NEUMANN REFLECTION[J]. Acta mathematica scientia,Series B, 2016, 36(3): 931-944.

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MECHANISM FOR THE TRANSITION FROM A REGULAR REFLECTION TO A MACH REFLECTION OR A VON NEUMANN REFLECTION

MECHANISM FOR THE TRANSITION FROM A REGULAR REFLECTION TO A MACH REFLECTION OR A VON NEUMANN REFLECTION

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