@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}
}