Integrated radial basis function methods for Newtonian and non-Newtonian fluid flows

Ho-Minh, Dao (2011) Integrated radial basis function methods for Newtonian and non-Newtonian fluid flows. [Thesis (PhD/Research)] (Unpublished)

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Abstract

In this PhD thesis, one-dimensional integrated radial basis function networks (1D-IRBFNs) are further developed for the simulation of viscous and viscoelastic flows in two dimensions. The thesis consists of two main parts. In the first part, 1D-IRBFNs are incorporated into the Galerkin formulation to simulate viscous flows. The governing equations are taken in the streamfunction- vorticity formulation and in the streamfunction formulation. Boundary conditions are effectively imposed with the help of the integration constants. The proposed 1D-IRBFN-based Galerkin methods are validated through the numerical simulation of several benchmark test problems including free convection in a square slot and in a concentric annulus. In the second part, 1D-IRBFNs are incorporated into the Galerkin and collocation formulations to simulate viscoelastic flows. The momentum and continuity equations are taken in the streamfunction-vorticity formulation and two types of fluid, namely Oldroyd-B and CEF models, are considered. Flows in a rectangular duct and in straight and corrugated tubes are simulated to validate the proposed 1D-IRBFN-based Galerkin/Collocation methods. Main attractive features of the proposed methods include (i) easy implementation; (ii) avoidance of the reduction in convergence rate caused by differentiation; and (iii) effective treatment of derivative boundary conditions. Numerical results show that the proposed methods are stable, high-order accurate and converge well. This study further demonstrates the great potential of using RBFs in CFD.


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Item Type: Thesis (PhD/Research)
Item Status: Live Archive
Additional Information: Docotr of Philosophy (PhD) thesis.
Depositing User: ePrints Administrator
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - No Department
Date Deposited: 24 Aug 2011 04:05
Last Modified: 30 Sep 2013 23:56
Uncontrolled Keywords: radial basis function networks; Newtonian fluid flows; non-Newtonian fluid flows
Fields of Research (FOR2008): 09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
URI: http://eprints.usq.edu.au/id/eprint/19533

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