计算物理 ›› 1984, Vol. 1 ›› Issue (2): 176-186.

• 论文 • 上一篇    下一篇

平面激波经下降台阶后的马赫效应

黄文生1, 刘可器1, 胡永生1, 李之年1, 李荫藩2, 曹亦明2   

  1. 1. 北京大学力学系;
    2. 中国科学院计算中心
  • 收稿日期:1984-05-12 出版日期:1984-12-25 发布日期:1984-12-25

MACH WAVE FORMED AS A PLANE SHOCK WAVE PASSED DOWN A BACKWARD STEP

HUANG WEN-SHENG1, LIU KE-QI HU1, YONG-SHENG1, LI ZHI-NIAN1, LI YIN-FAN2, CAO YI-MING2   

  1. 1. Department of mechanics Beijing University;
    2. Computing Center Academia Sinica
  • Received:1984-05-12 Online:1984-12-25 Published:1984-12-25

摘要: 本文通过激波管光测模型实验和数值计算两种手段,针对一平面激波经下降台阶后与地面相互作用而产生的从规则反射RR到马赫反射MR转换的临界点Lk及激波入射角ωi、反射角ωr随距离L*变化规律等问题进行了分析和研究。文中考虑了不同的入射激波马赫数Mi以及两种不同台阶高度的影响,并将光测模型实验和数值计算的结果同现有的理论结果做了比较。

Abstract: As a plane shock wave with shock mach number Mi propagates down a backward step of height H (fig 1) a part of the shock front turns to be curvilinear It reflects from the horizontal part behind step.This unsteady regular reflection eventually becomes Mach reflection.We present here the results of shock tube experiment (Mi ≤ 2.20) and numerical simulation of this phenomena, say the transition from regular reflection (RR) to Mach reflection (MR).The dependence of the position of transition Lk and critical angle of transition ωCk on strength of the impinging plane shock Mi and height of step H are analysed.Our experimental and numerical results are compared with the theoretical criLerion of transition of Iton & Itaya[15].It should be mentioned that the numerical method of FLIC type with triangular mesh developed in[13] is successful.