无网格方法求解稳定渗流问题  

Solving steady fluid flow problems in porous media with meshless meth ods

作　　者：曾清红[1] 卢德唐[1] 齐岩[1] 蒋远林[1] 

机构地区：[1]中国科学技术大学力学与机械工程系,合肥230026

出　　处：《计算力学学报》2003年第4期440-445,共6页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金 (1 0 1 0 2 0 2 0);973项目(G1 9990 32 80 5)资助项目

摘　　要：使用无单元伽辽金 (EFG)方法求解圆形油藏中心井和矩形油藏裂缝井两种稳定渗流模型。在中心井模型计算过程中 ,观察到采用对数等分布置节点是最有效的 ;计算结果与理论解和有限元解相比较 ,表明无网格方法是一种比有限元更为精确的方法。裂缝井模型通过在初始节点基础之上加密节点 ,获得了比较好的结果 。Two steady fluid flow in the porous media models are solved, one is a centric oil well model in the circle region, the other is a crack oil well model in the rectangle region. The perfect results are obtained by distributing nodes with the logarithmic division in the centric oil well model, and the results show that the meshless methods solution is more exact than FEM solution. In the crack oil well model, the dense nodes are distributed near the crack based on the initial nodes. The pressure contour is gotten and the results are satisfying.

关 键 词：无网格方法 稳定渗流问题 无单元伽辽金方法 中心井模型 权函数 移动最小二乘近似 

分 类 号：O357.3[理学—流体力学]