非结构动网格在多介质流体数值模拟中的应用  

Application of unstructured moving grids in multi-material flow fluids simulation

作　　者：张军[1] 杨连波[2] 任登凤[2] 谭俊杰[2] 

机构地区：[1]南京航空航天大学航空宇航学院,南京210016 [2]南京理工大学动力工程学院,南京210094

出　　处：《计算力学学报》2008年第4期454-458,共5页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(10476011)资助项目

摘　　要：采用非结构动网格方法对含多介质的流场进行数值模拟。采用改进的弹簧方法来处理由于边界运动而产生的网格变形。采用基于格心的有限体积方法求解守恒型的ALE(Arbitrary Lagrangian-Eulerian)方程,控制面通量的计算采用HLLC(Hartern,Lax,van Leer,Contact)方法,采用几何构造的方法使空间达到二阶精度,时间离散采用四阶Runge-Kutta方法。物质界面的处理采用虚拟流体方法。本文对含动边界的激波管、水下爆炸等流场进行数值模拟,取得较好的结果,不同时刻界面的位置和整个扩张过程被准确模拟。Unstructured moving grids are used to simulate compressible multi-material flow fluids. Improved spring method is applied to handle grids＇ deformation because of their movement. The finite volume method based on cell-center scheme is adopted to solve the ALE （Arbitrary Lagrangian-Eulerian） formulation. The HLLC（Hartern, Lax, van Leer, Contact）method is presented to compute the flux of control face. The algorithm can achieve second-order precision in space by geometric construction method and forth-order in time by Runge-Kutta method. Material interface is treated by ghost fluid method. Problems of shock tube, underwater explosion are simulated and excited results are obtained. The locations of multi-material interface at various times are calculated accurately and the propagating progress of multi-material interface is numerically simulated exactly.

关 键 词：多介质流体 非结构网格 动网格 虚拟流体方法 ALE方法 

分 类 号：O35[理学—流体力学]