摘要
通过对激波曲线的分析,研究了Euler方程组的激波反射结构,给出了Euler方程组激波反射现象中发生冯.诺依曼矛盾(von Neumann paradox)的一个充分条件,该条件是非必要的。结果表明,当给定绝热指数时,是否发生von Neumann paradox依赖于入射激波的马赫数和入射角。研究结果为激波反射分类和弱激波反射的研究提供一定依据。
This paper study the shock wave reflection configuration based on the theory of shock polar, and gives a sufficient condition under which von Neumann paradox appears for Euler equations. This condition is not a necessary condition though. It is proposed that, given the adiabatic exponent, Mach number of the incident shock determines the existence of von Neumann paradox. The results provide a numerical basis for the study of shock reflection classification and weak shock wave reflection.
出处
《上海电机学院学报》
2011年第6期404-407,共4页
Journal of Shanghai Dianji University
