Integrated radial basis function methods for Newtonian and non-Newtonian fluid flows
PhD Thesis
Title | Integrated radial basis function methods for Newtonian and non-Newtonian fluid flows |
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Type | PhD Thesis |
Authors | |
Author | Ho-Minh, Dao |
Supervisor | Mai-Duy, Nam |
Tran-Cong, Thanh | |
Institution of Origin | University of Southern Queensland |
Qualification Name | Doctor of Philosophy |
Number of Pages | 185 |
Year | 2011 |
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- In the second part, 1D-IRBFNs are incorporated into the Galerkin and collocation formulations to simulate viscoelastic flows. The momentum and continuity 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 |
Keywords | radial basis function networks; Newtonian fluid flows; non-Newtonian fluid flows |
ANZSRC Field of Research 2020 | 401706. Numerical modelling and mechanical characterisation |
Byline Affiliations | Computational Engineering and Science Research Centre |
https://research.usq.edu.au/item/q0x03/integrated-radial-basis-function-methods-for-newtonian-and-non-newtonian-fluid-flows
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