Simulation of viscous and viscoelastic flows using a RBF-Galerkin approach

Ho-Minh, D. and Mai-Duy, N. and Tran-Cong, T. (2012) Simulation of viscous and viscoelastic flows using a RBF-Galerkin approach. Australian Journal of Mechanical Engineering , 9 (2). pp. 101-112. ISSN 1448-4846


In this paper, two-dimensional flows of viscous and viscoelastic fluids are simulated using radial-basis-function networks (RBFNs) and Cartesian grids. To solve the governing equations, high-order approximations based on one-dimensional integrated-RBFNs are employed to approximate the field variables and the Galerkin discretisation formulation is utilised to transform the differential equation into a set of algebraic equations. The main distinguishing feature of the above combination is that two processes, namely the representation of the field variables and the discretisation of the governing equations, are both based on integration. In sharp contrast to conventional Galerkin methods, derivative boundary conditions are presently imposed in an exact manner. Two test problems, namely natural convection of a Newtonian fluid in a concentric annulus and fully-developed flow of an Criminale-Ericksen-Filbey (CEF) fluid in a rectangular duct, are studied. Results obtained are compared with published data in the literature.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Permanent restricted access to paper due to publisher copyright policy.
Faculty/School / Institute/Centre: Historic - Faculty of Engineering and Surveying - No Department
Date Deposited: 17 Jul 2012 07:11
Last Modified: 21 Jul 2014 05:07
Uncontrolled Keywords: integrated RBFN; Galerkin approach; Cartesian grid; Newtonian fluid; viscoelastic fluid
Fields of Research : 08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080202 Applied Discrete Mathematics
09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics
01 Mathematical Sciences > 0102 Applied Mathematics > 010201 Approximation Theory and Asymptotic Methods
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: 10.7158/M10-719.2012.9.2

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