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
Permalink -

https://research.usq.edu.au/item/q3834/coupled-combined-compact-irbf-schemes-for-fluid-flow-and-fsi-problems

Log in to edit

Download files

Published Version
FinalThesis_CamMinhTriTien_u1045261.pdf
File access level: Anyone

  • 1816
    total views
  • 375
    total downloads
  • 5
    views this month
  • 1
    downloads this month

Export as

Related outputs

Bending fatigue behaviour of internal replacement pipe systems
Manalo, Allan, Kiriella, Shanika, Tien, Cam Minh Tri, Ahmadi, Hamid, Dixon, Patrick G., Karunasena, Warna, Salah, Ahmad and Wham, Brad P.. 2024. "Bending fatigue behaviour of internal replacement pipe systems." Composite Structures. 331. https://doi.org/10.1016/j.compstruct.2024.117910
A simplified theoretical prediction of lateral deformation behaviour of structural pipe repair systems
Kiriella, Shanika, Manalo, Allan, Tien, , Cam Minh Tri, Karunasena, Warna, Ahmadi, Hamid, Salah, Ahmad, Dixon, Patrick, Wham, Brad P. and O'Rourke, Thomas D.. 2023. "A simplified theoretical prediction of lateral deformation behaviour of structural pipe repair systems." No-Dig Down Under 2023 Conference. Brisbane, Australia 12 - 14 Sep 2023 Australia.
Effects of the legacy pipe ends on the behaviour of pipe-in-pipe repair systems under internal pressure
Tien, C.M.T., Manalo, A., Dixon, P., Tafsirojjaman, T., Karunasena, W., Flood, W.W., Ahmadi, H., Kiriella, S., Salah, A. and Wham, B.P.. 2023. "Effects of the legacy pipe ends on the behaviour of pipe-in-pipe repair systems under internal pressure." Engineering Failure Analysis. 144. https://doi.org/10.1016/j.engfailanal.2022.106957
Lateral deformation behaviour of structural internal replacement pipe repair systems
Kiriella, Shanika, Manalo, Allan, Tien, Cam Minh Tri, Ahmadi, Hamid, Wham, Brad P., Salah, Ahmad, Tafsirojjaman, T., Karunasena, Warna, Dixon, Patrick and O'Rourke, Thomas D.. 2023. "Lateral deformation behaviour of structural internal replacement pipe repair systems." Composite Structures. 319, p. 117144. https://doi.org/10.1016/j.compstruct.2023.117144
An effective high-order five-point stencil, based on integrated-RBF approximations, for the first biharmonic equation and its applications in fluid dynamics
Mai-Duy, Nam, Tien, Cam Minh Tri, Strunin, Dmitry and Karunasena, Karu. 2023. "An effective high-order five-point stencil, based on integrated-RBF approximations, for the first biharmonic equation and its applications in fluid dynamics." International Journal of Numerical Methods for Heat and Fluid Flow. 33 (7), pp. 2593-2616. https://doi.org/10.1108/HFF-11-2022-0673
Analysis of failure modes in pipe-in-pipe repair systems for water and gas pipelines
Tafsirojjaman, T., Manalo, Allan, Tien, Cam Minh Tri, Wham, Brad P., Salah (Student), Ahmad, Kiriella, Shanika, Karunasena, Warna and Dixon, Patrick. 2022. "Analysis of failure modes in pipe-in-pipe repair systems for water and gas pipelines." Engineering Failure Analysis. 140, pp. 1-26. https://doi.org/10.1016/j.engfailanal.2022.106510
A generalised finite difference scheme based on compact integrated radial basis function for flow in heterogeneous soils
Ngo-Cong, D., Tien, C.M.T., Nguyen-Ky, T., An-Vo, D.-A., Mai-Duy, N., Strunin, D. V. and Tran-Cong, T.. 2017. "A generalised finite difference scheme based on compact integrated radial basis function for flow in heterogeneous soils." International Journal for Numerical Methods in Fluids. 85 (7), pp. 404-429. https://doi.org/10.1002/fld.4386
A numerical study of compact approximations based on flat integrated radial basis functions for second-order differential equations
Tien, C. M. T., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2016. "A numerical study of compact approximations based on flat integrated radial basis functions for second-order differential equations." Computers and Mathematics with Applications. 72 (9), pp. 2364-2387. https://doi.org/10.1016/j.camwa.2016.09.001
High-order fluid solver based on a combined compact integrated RBF approximation and its fluid structure interaction applications
Tien, C. M. T, Ngo-Cong, D., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2016. "High-order fluid solver based on a combined compact integrated RBF approximation and its fluid structure interaction applications." Computers and Fluids. 131, pp. 151-168. https://doi.org/10.1016/j.compfluid.2016.03.021
Compact approximation stencils based on integrated flat radial basis functions
Mai-Duy, N., Le, T. T. V., Tien, C. M. T., Ngo-Cong, D. and Tran-Cong, T.. 2017. "Compact approximation stencils based on integrated flat radial basis functions." Engineering Analysis with Boundary Elements. 74, pp. 79-87. https://doi.org/10.1016/j.enganabound.2016.11.002
A three-point coupled compact integrated RBF scheme for second-order differential problems
Tien, C. M. T., Thai-Quang, N., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2015. "A three-point coupled compact integrated RBF scheme for second-order differential problems." CMES Computer Modeling in Engineering and Sciences. 104 (6), pp. 425-469. https://doi.org/10.3970/cmes.2015.104.425
Stable integrated RBF calculation using preconditioning and high-order compact approximation for second-order PDEs
Tien, C. M. T., Mai-Duy, N., Ngo-Cong, D., Tran, C. D. and Tran-Cong, T.. 2015. "Stable integrated RBF calculation using preconditioning and high-order compact approximation for second-order PDEs." Witt, Peter (ed.) Eleventh International Conference on Computational Fluid Dynamics in the Minerals and Process Industries 2015. Melbourne, Victoria 07 - 09 Dec 2015 Australia.
High-order fully coupled scheme based on compact integrated RBF approximation for viscous flows in regular and irregular domains
Tien, C. M. T., Thai-Quang, N., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2015. "High-order fully coupled scheme based on compact integrated RBF approximation for viscous flows in regular and irregular domains." CMES Computer Modeling in Engineering and Sciences. 105 (4), pp. 301-340. https://doi.org/10.3970/cmes.2015.105.301
A high-order coupled compact integrated RBF approximation based domain decomposition algorithm for second-order differential problems
Tien, C. M. T., Pham-Sy, N., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2015. "A high-order coupled compact integrated RBF approximation based domain decomposition algorithm for second-order differential problems." CMES Computer Modeling in Engineering and Sciences. 104 (4), pp. 251-304. https://doi.org/10.3970/cmes.2015.104.251
A fully coupled scheme for viscous flows in regular and irregular domains using compact integrated RBF approximation
Tien, C. M. T., Thai-Quang, N., Mai-Duy, N., Tran, C.-D. and Tran-Cong, T.. 2014. "A fully coupled scheme for viscous flows in regular and irregular domains using compact integrated RBF approximation." Applied Mechanics and Materials. 553, pp. 138-143. https://doi.org/10.4028/www.scientific.net/AMM.553.138