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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: dlyoung@hy.nt.edu.tw
Corresponding author,
Department of Civil Engineering, University of Mississippi, Oxford, MS, 38677, USA

Computer Modeling in Engineering & Sciences 2002, 3(1), 117-128. https://doi.org/10.3970/cmes.2002.003.117

Abstract

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.

Keywords

Velocity-vorticity formulation, Stokes flow, meshless, boundary element method, radial basis function, dual reciprocity method, method of fundamental solution

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.



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.
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