基于不分裂算法的Euler网格细分方法  

Eulerian Grid Subdivision Algorithm Based on Unsplit Method

作　　者：宁建国[1] 刘春[1] 马天宝[1] 

机构地区：[1]北京理工大学爆炸科学与技术国家重点实验室,北京100081

出　　处：《高压物理学报》2008年第4期357-363,共7页Chinese Journal of High Pressure Physics

基　　金：国家自然科学基金(10625208)

摘　　要：对考虑多物质相互作用的爆炸冲击数值模拟,Euler型流体动力学方法是最有效的方法之一。采用维数不分裂算法处理Euler坐标下的纯物质网格,混合网格在Youngs界面重构技术的基础上进行细分,消除混合网格复杂的输运计算。对纯物质网格和细分后网格,都具体给出了往相邻8个网格输运的所有可能分配量的表达式。最后将该方法加入到自行开发的MMIC-2D通用多物质二维爆炸与冲击问题数值仿真程序中,数值算例显示该方法不仅能有效地提高计算精度,同时能降低问题的计算工作量,节省计算时间。When dealing with the problems of multi-material interaction, hydrodynamics numerical methods of Euler is one of the most effective ways. When using unsplit method to deal with pure cells in Euler coordinate, mixed cells are subdivided based on Youngs＇ interface reconstruction algorithm which can avoid complicated transport calculation. This paper gives all of the possible distribution modes to eight neighboring cells of both pure ones and subdivided ones. In the end, this unsplit method is added into numerical simulation program of MMIC-2D universal multi-material two-dimension explosion and impact which is developed by ourselves. The simulation results verify that our method can not only improve calculation precision efficiently, but also reduce workload and save computation time.

关 键 词：Youngs算法 不分裂算法 细分网格 爆炸 数值模拟 

分 类 号：O35[理学—流体力学]