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) |
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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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