Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular BoundaryMethod

作     者：Wenzhen Qu Wen Chen 

作者机构：Department of Engineering MechanicsCollege of Mechanics and MaterialsHohai UniversityNanjing 210098China 

出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)

年 卷 期：2015年第7卷第1期

页      面：13-30页

核心收录：

学科分类：07[理学] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Basic Research Program of China(2010CB832702) the National Science Funds for Distinguished Young Scholars of China(11125208) the R&D Special Fund for Public Welfare Industry(Hydrodynamics,201101014) Programme of Introducing Talents of Discipline to Universities(111 project,Grant No.B12032). 

主　　题：Singular boundary method origin intensity factor Stokes flow fundamental solution. 

摘      要：In this paper,an improved singular boundarymethod(SBM),viewed as one kind of modified method of fundamental solution(MFS),is firstly applied for the numerical analysis of two-dimensional(2D)Stokes flow problems.The key issue of the SBM is the determination of the origin intensity factor used to remove the singularity of the fundamental solution and its derivatives.The new contribution of this study is that the origin intensity factors for the velocity,traction and pressure are derived,and based on that,the SBM formulations for 2D Stokes flow problems are presented.Several examples are provided to verify the correctness and robustness of the presented method.The numerical results clearly demonstrate the potentials of the present SBM for solving 2D Stokes flow problems.