A control volume technique based on integrated RBFNs for the convection-diffusion equation

Mai-Duy, Nam and Tran-Cong, Thanh (2010) A control volume technique based on integrated RBFNs for the convection-diffusion equation. Numerical Methods for Partial Differential Equations, 26 (2). 426 -447. ISSN 0749-159X

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This paper reports a new high-order control-volume discretisation for the convection-diffusion equation in one and two dimensions. Diffusive fluxes at the faces of a control volume and other terms embracing the unknown field variable are all approximated using one-dimensional integrated radial-basis-function networks; line integrals involving these fluxes and other integrals are evaluated
using a high-order numerical integration scheme. The accuracy of the proposed technique is investigated numerically through the solution of several linear and nonlinear test problems, including a benchmark thermally-driven cavity flow. High-order convergence solutions are obtained.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Accepted version deposited in accordance with the copyright policy of the publisher.
Faculty/School / Institute/Centre: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 08 Mar 2011 03:04
Last Modified: 03 Jul 2013 00:28
Uncontrolled Keywords: control volumes; integrated radial basis function networks; convection-diffusion equations
Fields of Research : 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
01 Mathematical Sciences > 0101 Pure Mathematics > 010104 Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: 10.1002/num.20444
URI: http://eprints.usq.edu.au/id/eprint/18247

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