Volume 7, Issue 1
Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method

Wenzhen Qu & Wen Chen

Adv. Appl. Math. Mech., 7 (2015), pp. 13-30.

Published online: 2018-03

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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.

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@Article{AAMM-7-13, author = {Wenzhen Qu and Wen Chen}, title = {Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {7}, number = {1}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2013.m359}, url = {http://global-sci.org/intro/article_detail/aamm/10941.html} }
TY - JOUR T1 - Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method AU - Wenzhen Qu & Wen Chen JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 13 EP - 30 PY - 2018 DA - 2018/03 SN - 7 DO - http://dor.org/10.4208/aamm.2013.m359 UR - https://global-sci.org/intro/aamm/10941.html KW - AB -

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.

Wenzhen Qu & Wen Chen. (1970). Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method. Advances in Applied Mathematics and Mechanics. 7 (1). 13-30. doi:10.4208/aamm.2013.m359
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