复连通二维Stokes问题的Galerkin边界元解法  

BEM for Solving Stokes Problem in Complex Connected Domain

作　　者：王小军[1] 刘晓宇[1] 杜亚楠[1] 

机构地区：[1]重庆大学数学与统计学院,重庆400030

出　　处：《重庆理工大学学报（自然科学）》2011年第7期117-120,126,共5页Journal of Chongqing University of Technology：Natural Science

基　　金：国家十一五科技支撑计划(2006BAJ02A09)

摘　　要：介绍了复连通区域二维Stokes问题的Galerkin边界元解法的思路与程序设计方法。利用Fortran计算所求点的流速,用Matlab画出相应的流线图。在计算系数时,对第1重积分中存在奇异性的单元采用解析积分,不存在奇异性的单元采用数值积分,第2重不存在奇异性,故采用数值积分。用若干数值算例模拟了复连通区域上不可压缩黏性流体的绕流。In this paper, we deduce the boundary integral equation of 2-D Stokes problem in a complex connected region. Then we solve the boundary variational equation by Galerkin boundary element method. Velocity of flow is calculated by Fortran programme while streamlined diagram is drawn by Matlab programme. During the course of computing coefficient, numerical integral is used when there is no singularity while analytic integral is used when there is singularity. In this paper, several numerical tests simulate the viscous incompressible flow in a complex connected region

关 键 词：STOKES问题 边界元 复连通 程序设计 

分 类 号：O241.82[理学—计算数学]