非均质承压稳定流动问题的无单元伽辽金法

Element-Free Galerkin method for confined steady flow of unhomogeneous problems

建立了求解地下水中导水系数按分片常数定义的非均质承压稳定流动问题的无单元伽辽金(EFG)法和配点法的耦合算法.在不同分区分界线的节点上,基于水头和流量的相容条件,应用配点法建立方程;在各分区除去分界线的子区域上,建立EFG方程,联立得到求解水头函数数值解的耦合方程组.算例结果表明该方法具有较好的计算精度.

A coupling algorithm of Element-Free Galerkin(EFG)method and point collocation method is established to solve confined steady flow of unhomogeneous problems in groundwater,and transmissibility coefficient of aquifer are defined by slice constants.Based on the compatible conditions of head and flow rate,the equations at the nodes of different partition boundaries are established by using point collocation method.The EFG equations are established on the subregion of each partition without dividing lines.Coupled equations for numerical solution of head function are obtained simultaneously.The example results show that the method has a good calculation precision.