An effective integrated-RBFN Cartesian-grid discretization for the stream function-vorticity-temperature formulation in nonrectangular domains

Le-Cao, K. and Mai-Duy, N. ORCID: https://orcid.org/0000-0003-3191-7850 and Tran-Cong, T. (2009) An effective integrated-RBFN Cartesian-grid discretization for the stream function-vorticity-temperature formulation in nonrectangular domains. Numerical Heat Transfer, Part B: Fundamentals, 55 (6). pp. 480-502. ISSN 1040-7790

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Abstract

This paper presents a new numerical collocation procedure, based on Cartesian grids and one-dimensional integrated radial-basis-function networks (1D-IRBFNs), for the simulation of natural convection defined in two-dimensional multiply-connected domains and governed by the stream function-vorticity-temperature formulation. Special emphasis is placed on the handling of vorticity values at boundary points that do not coincide with grid nodes. A suitable formula for computing vorticity boundary conditions, which is based on the approximations with respect to one coordinate direction only, is proposed. Normal derivative boundary conditions for the stream
function are forced to be satisfied identically. Several test problems, including natural convection in the annulus between square and circular cylinders, are considered to investigate the accuracy of the proposed technique.

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Item Type:	Article (Commonwealth Reporting Category C)
Refereed:	Yes
Item Status:	Live Archive
Additional Information:	© 2009 Taylor & Francis Group, LLC. Permanent restricted access to published version in accordance with the copyright policy of the publisher. Accepted Version deposited in accordance with the copyright policy of the publisher.
Faculty/School / Institute/Centre:	Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering (Up to 30 Jun 2013)
Faculty/School / Institute/Centre:	Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering (Up to 30 Jun 2013)
Date Deposited:	02 Mar 2010 11:35
Last Modified:	21 Oct 2014 00:11
Uncontrolled Keywords:	integrated radial-basis-function networks; non-rectangular domains; Cartesian grids; stream function - vorticity - temperature formulation; vorticity boundary conditions
Fields of Research (2008):	09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation 08 Information and Computing Sciences > 0805 Distributed Computing > 080501 Distributed and Grid Systems
Fields of Research (2020):	40 ENGINEERING > 4017 Mechanical engineering > 401706 Numerical modelling and mechanical characterisation 46 INFORMATION AND COMPUTING SCIENCES > 4606 Distributed computing and systems software > 460605 Distributed systems and algorithms
Socio-Economic Objectives (2008):	E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI:	https://doi.org/10.1080/10407790902827470
URI:	http://eprints.usq.edu.au/id/eprint/6496

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