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Local Moving Least Square - One-Dimensional IRBFN Technique: Part II- Unsteady Incompressible Viscous Flows

D. Ngo-Cong1,2, N. Mai-Duy1, W. Karunasena2, T. Tran-Cong1,3
Computational Engineering and Science Research Centre, Faculty of Engineering and Surveying, The University of Southern Queensland, Toowoomba, QLD 4350, Australia.
Centre of Excellence in Engineered Fibre Composites, Faculty of Engineering and Surveying, The University of Southern Queensland, Toowoomba, QLD 4350, Australia.
Corresponding author, Email: trancong@usq.edu.au.

Computer Modeling in Engineering & Sciences 2012, 83(3), 311-352. https://doi.org/10.3970/cmes.2012.083.311

Abstract

In this study, local moving least square - one dimensional integrated radial basis function network (LMLS-1D-IRBFN) method is presented and demonstrated with the solution of time-dependent problems such as Burgers' equation, unsteady flow past a square cylinder in a horizontal channel and unsteady flow past a circular cylinder. The present method makes use of the partition of unity concept to combine the moving least square (MLS) and one-dimensional integrated radial basis function network (1D-IRBFN) techniques in a new approach. This approach offers the same order of accuracy as its global counterpart, the 1D-IRBFN method, while the system matrix is more sparse than that of the 1D-IRBFN, which helps reduce the computational cost significantly. For fluid flow problems, the diffusion terms are discretised by using LMLS-1D-IRBFN method, while the convection terms are explicitly calculated by using 1D-IRBFN method. The present numerical procedure is combined with a domain decomposition technique to handle large-scale problems. The numerical results obtained are in good agreement with other published results in the literature.

Keywords

Unsteady flow, Burgers' equation, square cylinder, circular cylinder, moving least square, integrated radial basis function, domain decomposition.

Cite This Article

Ngo-Cong, D., Mai-Duy, N., Karunasena, W., Tran-Cong, T. (2012). Local Moving Least Square - One-Dimensional IRBFN Technique: Part II- Unsteady Incompressible Viscous Flows. CMES-Computer Modeling in Engineering & Sciences, 83(3), 311–352.



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