Nearly Singular Integrals in 3D Stokes Flow

作     者：Svetlana Tlupova J.Thomas Beale 

作者机构：Department of MathematicsUniversity of MichiganAnn ArborMI 48109-1043USA Department of MathematicsDuke UniversityDurhamNC 27708-0320USA 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2013年第14卷第10期

页      面：1207-1227页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：National Science Foundation [DMS-0806482] 

主　　题：Stokes equations boundary integral equation method nearly singular integrals 

摘      要：A straightforward method is presented for computing three-dimensional Stokes flow,due to forces on a surface,with high accuracy at points near the *** flowquantities arewritten as boundary integrals using the free-spaceGreen’s *** evaluate the integrals near the boundary,the singular kernels are regularized and a simple quadrature is applied in coordinate *** order accuracy is obtained by adding special corrections for the regularization and discretization errors,derived here using local asymptotic *** tests demonstrate the uniform convergence rates of the method.