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Galerkin/Collocation Methods Based on 1D-Integrated-RBFNs for Viscoelastic Flows

D. Ho-Minh1, N. Mai-Duy1, T. Tran-Cong1

Computational Engineering and Science Research Centre (CESRC), Faculty of Engineering and Surveying (FoES), The University of Southern Queensland, Toowoomba, QLD 4350, Australia.

Computer Modeling in Engineering & Sciences 2010, 70(3), 217-252.


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.


Cite This Article

Ho-Minh, D., Mai-Duy, N., Tran-Cong, T. (2010). Galerkin/Collocation Methods Based on 1D-Integrated-RBFNs for Viscoelastic Flows. CMES-Computer Modeling in Engineering & Sciences, 70(3), 217–252.

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.
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