Integrated radial-basis-function networks for computing Newtonian and non-Newtonian fluid flows

Mai-Duy, Nam and Tran-Cong, Thanh (2009) Integrated radial-basis-function networks for computing Newtonian and non-Newtonian fluid flows. Computers and Structures, 87 (11-12). pp. 642-650. ISSN 0045-7949

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Abstract

This paper presents a radial-basis-function (RBF) collocation method for the simulation of two-dimensional
fluid-flow problems. To improve the stability of a discrete solution and the quality of derivative approximations, the present RBF networks (RBFNs) are constructed through integration instead of conventional differentiation. Special attention is given to the following two topics: (i) the effective use of integration constants in the solution of the Navier–Stokes equations and (ii) the employment of 'local' integrated RBFNs to handle flows with fine structures. Different types of geometries and fluids are considered.
The accuracy of the present technique is demonstrated through the solution of several benchmark test problems.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Author's version deposited in accordance with the copyright policy of the publisher.
Faculty/School / Institute/Centre: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering (Up to 30 Jun 2013)
Faculty/School / Institute/Centre: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering (Up to 30 Jun 2013)
Date Deposited: 21 Mar 2010 11:40
Last Modified: 02 Jul 2013 23:34
Uncontrolled Keywords: radial-basis-function networks; integral collocation formulation; Navier–Stokes equations; benchmark test problems; collocation methods; fine structures; flow problems; integrated RBFNs; integration constants; Newtonians; non-newtonian fluid flows; RBF networks; two-dimensional
Fields of Research (2008): 09 Engineering > 0915 Interdisciplinary Engineering > 091508 Turbulent Flows
09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Fields of Research (2020): 40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401213 Turbulent flows
40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401204 Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics)
40 ENGINEERING > 4017 Mechanical engineering > 401706 Numerical modelling and mechanical characterisation
Socio-Economic Objectives (2008): E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: https://doi.org/10.1016/j.compstruc.2008.09.004
URI: http://eprints.usq.edu.au/id/eprint/6498

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