The method of fundamental solutions for 2D and 3D Stokes problems

被引：128
|
作者：
Young, DL [1 ]
Jane, SJ
Fan, CM
Murugesan, K
Tsai, CC
机构：
[1] Natl Taiwan Univ, Dept Civil Engn, Taipei 10764, Taiwan
[2] Natl Taiwan Univ, Hydrotech Res Inst, Taipei 10764, Taiwan
[3] Toko Univ, Dept Informat Technol, Chiayi, Taiwan
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2006年 / 211卷 / 01期
关键词：
Stokes flows; the method of fundamental solutions; Stokeslets; 2D and 3D flows;
D O I：
10.1016/j.jcp.2005.05.016
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A numerical scheme based on the method of fundamental solutions (MFS) is proposed for the solution of 2D and 3D Stokes equations. The fundamental solutions of the Stokes equations, Stokeslets, are adopted as the sources to obtain flow field solutions. The present method is validated through other numerical schemes for lid-driven flows in a square cavity and a cubic cavity. Test results obtained for a rectangular cavity with wave-shaped bottom indicate that the MFS is computationally efficient than the finite element method (FEM) in dealing with irregular shaped domain. The paper also discusses the effects of number of source points and their locations on the numerical accuracy. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：1 / 8
页数：8
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