TY  - EJOU
AU  - Ho-Minh, D.  
AU  - Mai-Duy, N.  
AU  - Tran-Cong, T.  

TI  - Galerkin/Collocation Methods Based on 1D-Integrated-RBFNs for Viscoelastic Flows
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2010
VL  - 70
IS  - 3
SN  - 1526-1506

AB  - In this paper, one-dimensional integrated radial-basis-function networks (1D-IRBFNs) are introduced into the Galerkin and point-collocation formulations to simulate viscoelastic flows. The computational domain is represented by a Cartesian grid and IRBFNs, which are constructed through integration, are employed on each grid line to approximate the field variables including stresses in the streamfunction-vorticity formulation. Two types of fluid, namely Oldroyd-B and CEF models, are considered. The proposed methods are validated through the numerical simulation of several benchmark test problems including flows in a rectangular duct and in a corrugated tube. Numerical results show that accurate results are obtained using relatively-coarse grids.
KW  - viscoelastic flows
KW  -  Cartesian grid
KW  -  1D integrated RBFNs
KW  -  point collocation
KW  -  Galerkin formulation

DO  - 10.3970/cmes.2010.070.217