Local Moving Least Square - One-Dimensional IRBFN Technique: Part I - Natural Convection Flows in Concentric and Eccentric Annuli
Article
Article Title | Local Moving Least Square - One-Dimensional IRBFN Technique: Part I - Natural Convection Flows in Concentric and Eccentric Annuli |
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ERA Journal ID | 3460 |
Article Category | Article |
Authors | Ngo-Cong, D. (Author), Mai-Duy, N. (Author), Karunasena, W. (Author) and Tran-Cong, T. (Author) |
Journal Title | CMES Computer Modeling in Engineering and Sciences |
Journal Citation | 83 (3), pp. 275-310 |
Number of Pages | 36 |
Year | 2012 |
Place of Publication | Duluth, GA. United States |
ISSN | 1526-1492 |
1526-1506 | |
Digital Object Identifier (DOI) | https://doi.org/10.3970/cmes.2012.083.275 |
Web Address (URL) | https://www.techscience.com/CMES/v83n3/25792 |
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. |
Keywords | natural convection; concentric annulus; eccentric annulus; integrated radial basis functions; moving least square; partition of unity; Cartesian grids |
ANZSRC Field of Research 2020 | 490199. Applied mathematics not elsewhere classified |
400407. Process control and simulation | |
401204. Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics) | |
Public Notes | Copyright © 2012 Tech Science Press. Permanent restricted access to published version in accordance with the copyright policy of the publisher. |
Byline Affiliations | Computational Engineering and Science Research Centre |
Centre of Excellence in Engineered Fibre Composites | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q16w3/local-moving-least-square-one-dimensional-irbfn-technique-part-i-natural-convection-flows-in-concentric-and-eccentric-annuli
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