航空学报 > 2016, Vol. 37 Issue (3): 836-846   doi: 10.7527/S1000-6893.2015.0254

动态间断装配法模拟斜激波壁面反射

刘君, 邹东阳, 董海波   

  1. 大连理工大学 航空航天学院, 大连 116024
  • 收稿日期:2014-12-09 修回日期:2015-09-16 出版日期:2016-03-15 发布日期:2015-09-23
  • 通讯作者: 刘君,Tel.:0411-84707176,E-mail:liujun65@dlut.edu.cn E-mail:liujun65@dlut.edu.cn
  • 作者简介:刘君,男,博士,教授,博士生导师。主要研究方向:计算流体力学,空气动力学。Tel:0411-84707176,E-mail:liujun65@dlut.edu.cn;邹东阳,男,博士研究生。主要研究方向:计算流体力学。E-mail:dy_zou@126.com

A moving discontinuity fitting technique to simulate shock waves impinged on a straight wall

LIU Jun, ZOU Dongyang, DONG Haibo   

  1. School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, China
  • Received:2014-12-09 Revised:2015-09-16 Online:2016-03-15 Published:2015-09-23

摘要:

基于非结构动网格技术和边界装配思想提出了动态间断装配法,该方法能够应用于求解含有间断的流动问题。无论入射激波还是反射激波都是作为边界进行处理,激波运动速度由兰金-许贡纽(Rankine-Hugoniot)关系确定。激波作为动网格的一部分,其运动由动网格技术实现。采用该方法模拟了超声速二维流场中激波与壁面相交问题,并且与捕捉法进行比较,二者的流场结构符合良好,但是在细节上还是存在明显差异。通过对流动结构的分析,得出采用装配方法得到的流场要优于捕捉方法的结论。激波壁面反射的问题模拟,也说明了边界激波装配方法对于复杂的激波相交问题是具有处理能力的。

关键词: 激波, 非结构动网格, 装配法, 超声速流动, 激波相交

Abstract:

A new shock-fitting technique called the moving discontinuity fitting algorithm has been proposed, which is based on the unstructured moving grids technique and boundary shock fitting technique. No matter the incident shock wave or reflected shock wave is treated as a boundary of a flow field, the velocity of shock moving is determined by Rankine-Hugoniot(R-H) relations. The shock wave is fitted as a part of the unstructured moving grids. And the unstructured moving grids technique is used to make the motion of shock waves come true. A problem about shock waves reflection on a straight wall is simulated using this new technique. Compared with the result obtained by shock capturing technique in detail, the result obtained by the new shock fitting is better, though they are similar in general. Using this method, not only incident shock waves but also the reflection shock waves can be fitted. This method shows that the boundary shock fitting technique is also capable of simulating shock interaction even Mach reflection.

Key words: shock wave, unstructured moving grids, shock fitting, supersonic flow, shock wave interactions

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