High-order upwind methods based on C2-continuous two-node integrated-RBF elements for viscous flows

An-Vo, D. A. and Mai-Duy, N. and Tran-Cong, T. (2011) High-order upwind methods based on C2-continuous two-node integrated-RBF elements for viscous flows. CMES: Computer Modeling in Engineering and Sciences, 80 (2). pp. 141-177. ISSN 1526-1492

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Abstract

In this paper, 2-node integrated radial basis function elements (IRBFEs)[CMES, vol.72, no.4, pp.299-334, 2011] are further developed for the simulation of incompressible viscous flows in two dimensions. Emphasis is placed on (i) the incorporation of C2-continuous 2-node IRBFEs into the subregion and point collocation frameworks for the discretisation of the stream function-vorticity formulation on Cartesian grids; and (ii) the development of high order upwind schemes based on 2-node IRBFEs for the case of convection-dominant flows. High levels of accuracy and efficiency of the present methods are demonstrated by solutions of several benchmark problems defined on rectangular and non-rectangular domains.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Depositing User: Dr Nam Mai-Duy
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 27 Jan 2012 06:01
Last Modified: 03 Jul 2013 00:57
Uncontrolled Keywords: integrated-radial-basis-function elements; Cartesian grid; control volume; subregion collocation; point collocation; local approximation; upwind scheme
Fields of Research (FOR2008): 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
08 Information and Computing Sciences > 0805 Distributed Computing > 080501 Distributed and Grid Systems
Socio-Economic Objective (SEO2008): 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: doi: 10.3970/cmes.2011.080.141
URI: http://eprints.usq.edu.au/id/eprint/20404

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