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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弱自由流扰动与斜激波的相互作用:激波捕获方法的验证

DOI:
10.1007/s10483-017-2279-9
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发表时间:
2017-11
期刊:
Applied Mathematics and Mechanics (English Edition )
影响因子:
--
通讯作者:
Geng Jinlei
Geng Jinlei
中科院分区:
其他
文献类型:
--
作者:
Su Caihong;Geng Jinlei

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过渡段的预测对于长距离飞行器的设计具有重要意义。它从感受性问题开始,即外部扰动如何触发边界层中的不稳定波。对于超/高超声速边界层,外部扰动在进入边界层之前首先与飞行器前方的激波相互作用。由于直接数值模拟(DNS)是对其进行全面和详细研究的唯一可用工具,因此出现了一个重要问题,即数值格式,特别是激波捕捉方法,是否能忠实地再现外部扰动与激波的相互作用,这是迄今为止未知的。本文旨在提供答案。本文研究了弱扰动与斜激波的相互作用问题,已有已知的理论解。采用激波捕捉法进行了数值模拟,并与理论分析结果进行了比较,结果表明所采用的数值方法能够真实地再现弱外扰与激波的相互作用。
Transition prediction is of great importance for the design of long distance flying vehicles. It starts from the problem of receptivity, ie, 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.
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