An effective RBFN-boundary integral approach for the analysis of natural convection flow

Mai-Duy, Nam and Tran-Cong, Thanh (2004) An effective RBFN-boundary integral approach for the analysis of natural convection flow. International Journal for Numerical Methods in Fluids, 46 (5). pp. 545-568. ISSN 0271-2091

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Abstract

This paper presents a new radial basis function network-boundary integral approach for the analysis of natural convection flow. The use of integral equations (IEs) allows the set of simultaneous unknowns to be confined to the boundary only. In this study, all boundary values including geometries are represented by indirect radial basis function networks (IRBFNs), resulting in an effective boundary element method (BEM) especially for the achievement of high Rayleigh numbers with relatively coarse and uniform meshes. Convergence is obtained up to a Rayleigh number of 1.0e7 in the case of a square cavity using a uniform mesh of 31 × 31 and a Rayleigh number of 5.0e4 in the case of a horizontal concentric annulus using a uniform mesh of 11 × 21.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Deposited in accordance with the copyright policy of the publisher. Pre-print version of article, as made available here, differs in title from the Published version. Pre-print title: An effective neural network-boundary integral approach for the analysis of natural convection flow.
Depositing User: Dr Nam Mai-Duy
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 11 Oct 2007 01:14
Last Modified: 09 Sep 2013 06:37
Uncontrolled Keywords: boundary element method; natural convection flow; indirect radial basis function network
Fields of Research (FOR2008): 09 Engineering > 0913 Mechanical Engineering > 091399 Mechanical Engineering not elsewhere classified
09 Engineering > 0915 Interdisciplinary Engineering > 091504 Fluidisation and Fluid Mechanics
09 Engineering > 0915 Interdisciplinary Engineering > 091502 Computational Heat Transfer
Socio-Economic Objective (SEO2008): E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: doi: 10.1002/fld.769
URI: http://eprints.usq.edu.au/id/eprint/2783

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