Computation of transient viscous flows using indirect radial basis function networks

Mai-Duy, Nam and Mai-Cao, Lan and Tran-Cong, Thanh (2007) Computation of transient viscous flows using indirect radial basis function networks. CMES: Computer Modeling in Engineering and Sciences, 18 (1). pp. 59-78. ISSN 1526-1492

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Abstract

In this paper, an indirect/integrated radial-basis-function network (IRBFN) method is further developed to solve transient partial differential equations (PDEs) governing fluid flow problems. Spatial derivatives are discretized using one- and two-dimensional IRBFN interpolation schemes, whereas temporal derivatives are approximated using a method of lines and a finite-difference technique. In the case of moving interface problems, the IRBFN method is combined with the level set method to capture the evolution of the interface. The accuracy of the method is investigated by considering several benchmark test problems, including the classical lid-driven cavity flow. Very accurate results are achieved using relatively low numbers of data points.


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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: 07 Feb 2008 23:49
Last Modified: 02 Jul 2013 22:54
Uncontrolled Keywords: indirect radial basis function networks method; fluid flow problems; integrated radial basis function networks; transient viscous flow
Fields of Research (FOR2008): 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080202 Applied Discrete Mathematics
09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics
Socio-Economic Objective (SEO2008): E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: doi: 10.3970/cmes.2007.018.059
URI: http://eprints.usq.edu.au/id/eprint/3570

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