Table of Content

Open Access iconOpen Access


Meshless BEM for Three-dimensional Stokes Flows

C.C. Tsai1, D.L. Young2, A.H.-D. Cheng3

Department of Civil Engineering & Hydortech Research Institute, National Taiwan University, Taipei, 10617, TAIWAN. Fax: +886-2-23639258, Email:
Corresponding author,
Department of Civil Engineering, University of Mississippi, Oxford, MS, 38677, USA

Computer Modeling in Engineering & Sciences 2002, 3(1), 117-128.


This paper describes a combination of the dual reciprocity method (DRM) and the method of fundamental solution (MFS) as a meshless BEM (DRM-MFS) to solve three-dimensional Stokes flow problems by the velocity-vorticity formulation, where the DRM is based on the compactly supported, positive definite radial basis functions (CS-PD-RBF). In the velocity-vorticity formulation, both of the diffusion type vorticity equations and the Poisson type velocity equations are solved by DRM-MFS. Here a typical internal cubic cavity flow and an external flow past a sphere are presented. The results are acceptable. Furthermore, this paper provides a preliminary work for applications to the three-dimensional Navier-Stokes equations.


Cite This Article

Tsai, C., Young, D., Cheng, A. (2002). Meshless BEM for Three-dimensional Stokes Flows. CMES-Computer Modeling in Engineering & Sciences, 3(1), 117–128.

cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 1485


  • 1279


  • 0


Related articles

Share Link