激波与旋涡对干扰研究：激波动力学特性及声波产生机理  

Interaction of a shock wave and a vortex pair： shock dynamics and mechanism of sound generation

作　　者：张树海[1] 徐庆新[1] Yong-Tao Zhang Chi-Wang Shu 

机构地区：[1]中国空气动力研究与发展中心,四川绵阳621000 [2]Department of Mathematics, University of California at Irvine, Irvine, CA 92697, USA [3]Division of Applied Mathematics, Brown University, Providence, RI 02912, USA

出　　处：《空气动力学学报》2007年第B12期67-74,共8页Acta Aerodynamica Sinica

基　　金：国家自然科学基金资助（10572146）.

摘　　要：采用五阶WENO格式，通过数值求解二维非定常Navier-Stokes方程，系统模拟了激波与旋涡对的干扰过程。我们研究了强度为1．05和1．2两个典型的激波同不同强度的旋涡对的干扰过程。根据激波动力学特性，我们把激波与掠过型旋涡对干扰分成四类，而碰撞型干扰分成七种不同的类型。研究表明，激波与旋涡对干扰过程中，声波产生有三种机制，激波与涡对的干扰，涡对之间的耦合以及激波与声波的干扰。The interaction between a shock wave and a pair of vortices is simulated through solving the two dimensional, unsteady compressible Navier-Stokes equations with a fifth order WENO scheme. The purpose of this study is to characterize the shock structure and the mechanism of sound generation. We consider two types of interaction, passing type and colliding type. According to the different pattern of shock structure, the passing type interaction is classified into four types and the colliding type interaction is classified to seven types of interaction. Our simulation found that the sound field is the result of three mechanism, the interaction itself, the vortex coupling and the shock sound interaction.

关 键 词：激波 旋涡对 干扰 声波 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]