Open Access

ARTICLE

Computation of transient viscous flows using indirect radial basis function networks

N. Mai-Duy¹, L. Mai-Cao², T. Tran-Cong³
1 CESRC, Faculty of Engineering and Surveying, Univer-sity of Southern Queensland, Toowoomba Qld 4350, Australia.
2 CESRC, Faculty of Engineering and Surveying, Uni-versity of Southern Queensland, Toowoomba Qld 4350,Australia. Current address: Department of Geology &Petroleum Engineering, Ho Chi Minh City University of Technology, 268 Ly Thuong Kiet, Q.10, Ho Chi MinhCity, Vietnam
3 CESRC, Faculty of Engineering and Surveying, University of Southern Queensland, Toowoomba Qld 4350, Australia, email: trancong@usq.edu.au, Fax: +61746312526.

Computer Modeling in Engineering & Sciences 2007, 18(1), 59-78. https://doi.org/10.3970/cmes.2007.018.059

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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Keywords

indirect radial basis function networks, integrated radial basis function networks, transient viscous flow

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