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

PhD Thesis

Tien, Cam Minh Tri. 2016. Coupled/combined compact IRBF schemes for fluid flow and FSI problems. PhD Thesis Doctor of Philosophy. University of Southern Queensland.
Title

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

TypePhD Thesis
Authors
AuthorTien, Cam Minh Tri
SupervisorTran-Cong, Professor Thanh
Mai-Duy, Professor Nam
Tran
Dr Canh-Dung,
Institution of OriginUniversity of Southern Queensland
Qualification NameDoctor of Philosophy
Number of Pages315
Year2016
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).

Keywordsfluid flows; integrated radial basis functions; IRBF; fluid structure interaction
ANZSRC Field of Research 2020401706. Numerical modelling and mechanical characterisation
Byline AffiliationsSchool of Mechanical and Electrical Engineering
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