多介质大变形流动的MOF-MMALE数值模拟研究  

MOF-MMALE Numerical Simulation of Multi-Material Large Deformation Flow Problems

作　　者：曾清红[1] 孙文俊[1] 

机构地区：[1]北京应用物理与计算数学研究所,北京100094

出　　处：《应用数学和力学》2014年第10期1163-1176,共14页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11001026;11371068);国家高技术研究发展计划(863计划)(2012AA01A303)~~

摘　　要：多介质大变形流动数值模拟的关键和难点是在精确追踪物质界面的同时又能够处理好流体的大变形运动.将MOF(moment-of-fluid)界面重构算法与多介质任意Lagrange-Euler方法(MMALE)相耦合,形成MOF-MMALE方法,并应用于多介质大变形流动问题的数值模拟研究.MOF-MMALE方法在传统的ALE方法基础上,允许计算网格边界跨过物质界面,允许存在混合网格,即一个网格内可以存在两种或两种以上物质;在混合网格内,利用MOF界面重构算法来确定物质界面的位置和方向.数值算例表明,MOF-MMALE方法是模拟多介质大变形流动的有效手段,并且具有较好的数值精度和界面分辨率.In the numerical simulation of multi-material large deformation flow problems, the most important thing is tracking the material interfaces accurately while dealing with the large deformation of fluid simultaneously. The multi-material arbitrary Lagrangian Eulerian （MMALE） method coupled with the moment-of-fluid （MOF） interface reconstruction, was named a MOF- MMALE method and applied to multi-material large deformation flow problems. For the MOF- MMALE method, the mesh lines were allowed to cross the material interfaces and the mixed cells were introduced. In the mixed cells, the MOF interface reconstruction was used to deter- mine the position and direction of the material interface. The numerical results of several typical examples, including the 2-material shock tube problem, the triple point problem, the Rayleigh- Taylor instability problem and the shock wave-Helium bubble interaction problem, show high accuracy and good resolution of the MOF-MMALE method, which is validated to be an effective way to simulate multi-material fluid flow problems with large deformation.

关 键 词：多介质大变形流动 MMALE MOF界面重构 混合网格 封闭模型 

分 类 号：O242[理学—计算数学]