Local moving least square - one-dimensional IRBFN technique: part 11 - unsteady incompressible viscous flows

Ngo-Cong, D. and Mai-Duy, N. and Karunasena, W. ORCID: https://orcid.org/0000-0003-3636-3068 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.
Faculty/School / Institute/Centre:	Historic - Faculty of Engineering and Surveying - No Department (Up to 30 Jun 2013)
Faculty/School / Institute/Centre:	Historic - Faculty of Engineering and Surveying - No Department (Up to 30 Jun 2013)
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 (2008):	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
Fields of Research (2020):	49 MATHEMATICAL SCIENCES > 4903 Numerical and computational mathematics > 490303 Numerical solution of differential and integral equations 40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401213 Turbulent flows 40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401204 Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics)
Socio-Economic Objectives (2008):	E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI:	https://doi.org/10.3970/cmes.2012.083.311
URI:	http://eprints.usq.edu.au/id/eprint/21711

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