Ngo-Cong, D. and Mai-Duy, N. and Karunasena, W. and Tran-Cong, T. (2012) Local moving least square - one-dimensional IRBFN technique: part 11 - unsteady incompressible viscous flows. CMES: Computer Modeling in Engineering and Sciences , 83 (3). pp. 311-351. ISSN 1526-1492
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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 largescale problems. The numerical results obtained are in good agreement with other published results in the literature.
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| Item Type: | Article (Commonwealth Reporting Category C) |
|---|---|
| Refereed: | Yes |
| Item Status: | Live Archive |
| Additional Information: | Copyright © 2012 Tech Science Press. Permanent restricted access to published version in accordance with the copyright policy of the publisher. |
| Depositing User: | epEditor USQ |
| Faculty / Department / School: | Historic - Faculty of Engineering and Surveying - No Department |
| Date Deposited: | 30 Sep 2012 10:30 |
| Last Modified: | 14 Oct 2014 23:01 |
| Uncontrolled Keywords: | unsteady flow; Burgers equation; square cylinder; circular cylinder; moving least square; integrated radial basis function; domain decomposition |
| Fields of Research : | 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations 09 Engineering > 0915 Interdisciplinary Engineering > 091508 Turbulent Flows 09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics |
| Socio-Economic Objective: | E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering |
| Identification Number or DOI: | 10.3970/cmes.2012.083.311 |
| URI: | http://eprints.usq.edu.au/id/eprint/21711 |
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