Integrated radial basis function methods for structural, fluid flow and fluid-structure interaction analyses
PhD Thesis
Title | Integrated radial basis function methods for structural, fluid flow and fluid-structure interaction analyses |
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Type | PhD Thesis |
Authors | |
Author | Ngo-Cong, Duc |
Supervisor | Tran-Cong, Thanh |
Institution of Origin | University of Southern Queensland |
Qualification Name | Doctor of Philosophy |
Number of Pages | 283 |
Year | 2012 |
Abstract | The present research is concerned with the development of new numerical methods based on integrated radial basis function network (IRBFN) and collocation techniques for solving structural, fluid-flow and fluid-structure-interaction problems. Simply and multiply-connected domains with rectangular or nonrectangular shapes are discretised by means of Cartesian grids. An effective one-dimensional integrated radial basis function network collocation technique, namely 1D-IRBFN, is developed for the free vibration analysis of laminated composite plates using the first order shear deformation theory (FSDT). Instead of using conventional differentiated RBF networks, 1D-IRBF networks are employed on grid lines to approximate the field variables. A number of examples concerning various thickness-to-span ratios, material properties and boundary conditions of the composite plates are investigated. A novel local moving least square - one-dimensional integrated radial basis function network method, namely LMLS-1D-IRBFN, is proposed for solving incompressible viscous flow problems. The method is demonstrated with the The LMLS-1D-IRBFN method is then developed to study natural convection flows in multiply-connected domains in terms of stream function, vorticity and temperature. The unknown stream function value on the inner boundary is A numerical procedure based on 1D-IRBFN and local MLS-1D-IRBFN methods is proposed for solutions of fluid-structure interaction problems. A combination Numerical results obtained in the present research are compared with corresponding analytical solutions, where possible, and numerical results by other techniques in the literature. |
Keywords | integrated radial basis function network; structural; fluid flow; fluid-structure interaction |
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/q155y/integrated-radial-basis-function-methods-for-structural-fluid-flow-and-fluid-structure-interaction-analyses
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