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