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

Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method
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Year:    2015

Author:    Wenzhen Qu, Wen Chen

Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 1 : pp. 13–30

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2013.m359

Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 1 : pp. 13–30

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:   

Author Details

Wenzhen Qu

Wen Chen

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