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Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method

Published online by Cambridge University Press:  09 January 2015

Wenzhen Qu  and
Wen Chen
Wenzhen Qu
Affiliation:
Department of Engineering Mechanics, College of Mechanics and Materials, Hohai University, Nanjing 210098, China
Wen Chen*
Affiliation:
Department of Engineering Mechanics, College of Mechanics and Materials, Hohai University, Nanjing 210098, China
*
*Email:chenwen@hhu.edu.cn(W. Chen)
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Abstract

In this paper, an improved singular boundary method (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.

Keywords

76D0776M25Singular boundary methodorigin intensity factorStokes flowfundamental solution
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 7 , Issue 1 , February 2015 , pp. 13 - 30
Copyright
Copyright © Global Science Press Limited 2015 

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