Galerkin/collocation methods based on 1D-integrated-RBFNs for viscoelastic flows
Article
Article Title | Galerkin/collocation methods based on 1D-integrated-RBFNs for viscoelastic flows |
---|---|
ERA Journal ID | 3460 |
Article Category | Article |
Authors | Ho-Minh, D. (Author), Mai-Duy, Nam (Author) and Tran-Cong, Thanh (Author) |
Editors | Atluri, Satya N. |
Journal Title | CMES Computer Modeling in Engineering and Sciences |
Journal Citation | 70 (3), pp. 217-251 |
Number of Pages | 35 |
Year | 2010 |
Place of Publication | Forsyth, GA. United States |
ISSN | 1526-1492 |
1526-1506 | |
Digital Object Identifier (DOI) | https://doi.org/10.3970/cmes.2010.070.217 |
Web Address (URL) | http://www.techscience.com/cmes/2010/v70n3_index.html |
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 stream function-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. |
Keywords | viscoelastic flows; Cartesian grid; 1D integrated RBFNs; point collocation; Galerkin formulation |
ANZSRC Field of Research 2020 | 490303. Numerical solution of differential and integral equations |
401213. Turbulent flows | |
401706. Numerical modelling and mechanical characterisation | |
Byline Affiliations | Computational Engineering and Science Research Centre |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q0971/galerkin-collocation-methods-based-on-1d-integrated-rbfns-for-viscoelastic-flows
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