An upwind control-volume method based on integrated RBFs for fluid-flow problems

Mai-Duy, Nam and Tran-Cong, Thanh (2010) An upwind control-volume method based on integrated RBFs for fluid-flow problems. In: 9th World Congress on Computational Mechanics and 4th Asian-Pacific Congress on Computational Mechanics (WCCM/APCOM 2010), 19-23 July 2010, Sydney, Australia.

Abstract

[Abstract]: This paper is concerned with the development of a high-order upwind conservative numerical method for the simulation of flows of a Newtonian fluid. The domain is discretised using a Cartesian grid from which non-overlapping rectangular control-volumes are formed. Line integrals arising from the integration of the diffusion and convection terms over control volumes are evaluated using the middle-point rule. The diffusion term is approximated using two different schemes, namely one-dimensional integrated radial basis function networks (1D- IRBFN) and central differences. The convection term is effectively treated by a high-order upwind scheme incorporating 1D-IRBFNs with the deferred-correction strategy. Several test problems governed by the Burgers and the Navier-Stokes equations are simulated, which show that the proposed technique is stable, accurate and converges well.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: Author version not held.
Depositing User: Prof Thanh Tran-Cong
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 08 Sep 2010 05:05
Last Modified: 05 Sep 2014 06:14
Uncontrolled Keywords: integrated radial basis function, control volume formulation, high order upwind scheme
Fields of Research (FOR2008): 09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Socio-Economic Objective (SEO2008): E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
URI: http://eprints.usq.edu.au/id/eprint/8559

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