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.
|Item Type:||Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)|
|Additional Information:||No evidence of copyright restrictions.|
|Uncontrolled Keywords:||natural convection; cartesian grid method; irregular domain; integrated radial basis function networks|
|Subjects:||290000 Engineering and Technology|
|Depositing User:||Dr Nam Mai-Duy|
|Date Deposited:||02 Jan 2008 23:46|
|Last Modified:||02 Jul 2013 22:56|
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