R-M不稳定性数值模拟方法

作     者：赵宁 余彦 唐维军 

作者机构：南京航空航天大学空气动力学系南京210016 北京应用物理与计算数学研究所北京100088 

出 版 物：《计算数学》 (Mathematica Numerica Sinica)

年 卷 期：2001年第23卷第4期

页      面：477-490页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：国家自然科学基金(19932010 10072028) 中国工程物理研究院院外基金(99060933) 教育部(2000年) 

主　　题：界面追踪 黎曼解 高分辨MmB格式 数值模拟 界面不稳定性 欧拉方程 流体力学 

摘      要：Front Tracking algorithms have generally assumed that the computational medium is divided into piece-wise smooth subdomains bounded by interfaces and that strong wave interactions are solved via Riemann solutions. However , in multidimensional cases, the Riemann solution of multiple shock wave interactions are far more complicated and still subject to analytical study. For this reason ,it is very desirable to be able to track contact discontinuities only. In this paper , we describe a new numerical algorithm to couple a tracked contact surface and an un tracked strong shock wave. The new tracking algorithm reduces the complication of computation , and maintains the sharp resolution of the contact surface. The numerical results are in good agreement.