Radial-basis-function calculations of buoyancy-driven flow in concentric and eccentric annuli

Le-Cao, Khoa and Mai-Duy, Nam and Tran-Cong, Thanh (2007) Radial-basis-function calculations of buoyancy-driven flow in concentric and eccentric annuli. In: 16th Australasian Fluid Mechanics Conference (AFMC 2007), 3-7 Dec 2007, Gold Coast, Australia.

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[Abstract]: This paper is concerned with the application of integrated radial-basis-function networks (IRBFNs) for the simulation of natural convection in concentric and eccentric annuli. Important features of the present technique include: (i) Taking a stream function - temperature formulation as the governing equations;
(ii) Employing a Cartesian grid to discretize the problem domain;(iii) Using one-dimensional RBF approximations to represent the approximate solution; and (iv) Constructing the approximations through integration. These features result in an efficient numerical scheme as (i) the number of the governing differential equations is reduced from 4 to 2, (ii) the preprocessing is simple, (iii) the associated matrices have condition numbers in 2-norm that are much lower than those yielded through conventional
RBF techniques, and (iv) the reduction of convergence rate caused by differentiation is avoided. A wide range of the Rayleigh number is considered. Results obtained are compared well with available numerical data in literature.

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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: No evidence of copyright restrictions.
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 02 Jan 2008 23:46
Last Modified: 02 Jul 2013 22:56
Uncontrolled Keywords: natural convection; cartesian grid method; irregular domain; integrated radial basis function networks
Fields of Research : 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010301 Numerical Analysis
09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics
09 Engineering > 0915 Interdisciplinary Engineering > 091504 Fluidisation and Fluid Mechanics
URI: http://eprints.usq.edu.au/id/eprint/3682

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