Local moving least square - one-dimensional IRBFN technique: part 1 - natural convection flows in concentric and eccentric annuli

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 1 - natural convection flows in concentric and eccentric annuli. CMES: Computer Modeling in Engineering and Sciences, 83 (3). pp. 275-310. ISSN 1526-1492

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Abstract

In this paper, natural convection flows in concentric and eccentric annuli are studied using a new numerical method, namely local moving least square-one dimensional integrated radial basis function networks (LMLS-1D-IRBFN). The partition of unity method is used to incorporate the moving least square (MLS) and one dimensional-integrated radial basis function (1D-IRBFN) techniques in an approach that leads to sparse system matrices and offers a high level of accuracy as in the case of 1D-IRBFN method. The present method possesses a Kronecker-Delta function property which helps impose the essential boundary condition in an exact manner. The method is first verified by the solution of the two-dimensional Poisson equation in a square domain with a circular hole, then applied to natural convection flow problems. Numerical results obtained are in good agreement with the exact solution and 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 06:47
Last Modified:	14 Oct 2014 23:00
Uncontrolled Keywords:	natural convection; concentric annulus; eccentric annulus; integrated radial basis functions; moving least square; partition of unity; Cartesian grids
Fields of Research (2008):	08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080202 Applied Discrete Mathematics 09 Engineering > 0904 Chemical Engineering > 090407 Process Control and Simulation 09 Engineering > 0915 Interdisciplinary Engineering > 091502 Computational Heat Transfer
Fields of Research (2020):	49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490199 Applied mathematics not elsewhere classified 40 ENGINEERING > 4004 Chemical engineering > 400407 Process control and simulation 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.2012.083.275
URI:	http://eprints.usq.edu.au/id/eprint/21712

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