Coupled/combined compact IRBF schemes for fluid flow and FSI problems

Tien, Cam Minh Tri (2016) Coupled/combined compact IRBF schemes for fluid flow and FSI problems. [Thesis (PhD/Research)]

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Abstract

The thesis is concerned with the development of compact approximation methods based on Integrated Radial Basis Functions (IRBFs) and their applications in fluid flows and FSI problems. The contributions include (i) new compact IRBF stencils where first- and second-order derivatives are included; (ii) a preconditioning technique where a preconditioner to enhance the stability of the flat IRBF solutions; and, (iii) the incorporation of the proposed stencils into the immersed boundary methods. Numerical experiments show the present schemes generally produce more accurate solutions and better convergence rates than existing methods (e.g. FDM, high-order compact FDM and compact IRBF methods).


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Item Type: Thesis (PhD/Research)
Item Status: Live Archive
Additional Information: Doctor of Philosophy (PhD) thesis.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Mechanical and Electrical Engineering
Supervisors: Tran-Cong, Professor Thanh; Mai-Duy, Professor Nam; Tran; Dr Canh-Dung,
Date Deposited: 16 Aug 2016 01:55
Last Modified: 08 Aug 2017 05:06
Uncontrolled Keywords: fluid flows; integrated radial basis functions; IRBF; fluid structure interaction
Fields of Research : 09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
URI: http://eprints.usq.edu.au/id/eprint/29447

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