三维弹塑性流体力学自适应欧拉方法研究  

An Eulerian Adaptive Mesh Refinement Method for Three Dimensional Elastic-Plastic Hydrodynamic Simulations

作　　者：刘军[1] 何长江[2] 梁仙红[2] 

机构地区：[1]中国工程物理研究院研究生部,北京100088 [2]北京应用物理与计算数学研究所,北京100088

出　　处：《高压物理学报》2008年第1期72-78,共7页Chinese Journal of High Pressure Physics

基　　金：国家重点基础研究专项经费资助项目(2005CB321703);中国工程物理研究院科学技术基金(20050106)

摘　　要：研究了三维多介质弹塑性流体力学欧拉数值方法的网格自适应技术,编制了可计算多介质弹塑性流体力学问题的三维自适应欧拉程序,解决了计算弹塑性问题时应用网格自适应方法所遇到的一系列关键问题,如网格细分和合并规则,父网格或子网格物理量的填充,幻影网格的选择、填充及存储方案,插值函数的选择及如何选择时间步长等问题。给出了侵彻、爆轰等弹塑性问题的数值算例,验证了方法的有效性。Based on three dimensional elastic-plastic program MEPH3D, we design a three dimensional multi-component block-structured AMR program and solve many important problems which are encountered in combining block-structured AMR with the uniform-grid program MEPH3D, such as the rule of refinement and derefinement,how to fill in the new blocks or ghost cells, the storage of the ghost cell,how to choose the interpolation functions and how to construct a timestep routine. Here we present two methods to store the ghost cell, and three kinds of interpolation function. We define a variable to control the selection of the boundary condition,and we give three kinds of boundary condition to choose. The numerical results indicate that the program has the ability to computing high-speed impact and explosion problems,and spends less time when getting the same precision.

关 键 词：流体力学 弹塑性 欧拉方法 多介质 自适应 三维 

分 类 号：O344.3[理学—固体力学] O385[理学—力学]