TY  - EJOU
AU  - Tsai, C.C. 
AU  - Young, D.L. 
AU  - Cheng, A.H.-D.  

TI  - Meshless BEM for Three-dimensional Stokes Flows
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2002
VL  - 3
IS  - 1
SN  - 1526-1506

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

DO  - 10.3970/cmes.2002.003.117