@Article{cmes.2010.070.217, AUTHOR = {D. Ho-Minh, N. Mai-Duy, T. Tran-Cong}, TITLE = {Galerkin/Collocation Methods Based on 1D-Integrated-RBFNs for Viscoelastic Flows}, JOURNAL = {Computer Modeling in Engineering \& Sciences}, VOLUME = {70}, YEAR = {2010}, NUMBER = {3}, PAGES = {217--252}, URL = {http://www.techscience.com/CMES/v70n3/26796}, ISSN = {1526-1506}, ABSTRACT = {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.}, DOI = {10.3970/cmes.2010.070.217} }