Meshless radial basis function method for unsteady incompressible viscous flows
PhD Thesis
Title | Meshless radial basis function method for unsteady incompressible viscous flows |
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Type | PhD Thesis |
Authors | |
Author | Mai-Cao, Lan |
Supervisor | Tran-Cong, Thanh |
Institution of Origin | University of Southern Queensland |
Qualification Name | Doctor of Philosophy |
Number of Pages | 225 |
Year | 2008 |
Abstract | [Abstract]This thesis reports the development of new meshless schemes for solving timedependent partial differential equations (PDEs) and for the numerical simulation of some typical unsteady incompressible viscous flows. The new numerical schemes are based on the Idirect/Integrated Radial Basis Function Network (IRBFN) method which is fully meshless as no element-type As the first step in extending the IRBFN method to various types of timedependent PDEs, two numerical schemes combining the IRBFN method with high-order time stepping algorithms are developed for solving parabolic, hyperbolic, A further extension of the IRBFN method for incompressible fluid flows with moving interfaces, especially for passive transport problems is accomplished in this research with a novel meshless approach in which the level set method Another contribution of this research is the development of two new meshless schemes based on the IRBFN method for the numerical simulation of unsteady incompressible viscous flows governed by the Navier-Stokes equations. In the new schemes, the splitting approach is used to deal with the momentum equation and the incompressibility constraint in a segregated manner. Numerical experiments on the new schemes in terms of accuracy and stability are performed for verification purposes. Finally, a novel meshless hybrid scheme is developed in this research to numerically simulate interfacial flows in which the motion and deformation of the interface between the two immiscible fluids are fully captured. Unlike the passive transport problems mentioned above where the influence of the moving interface on the surrounding fluid is ignored, the interfacial flows are studied here with the surface tension taken into account. As a result, a two-way interaction between the moving interface and the ambient flow is fully investigated. All numerical schemes developed in this research are verified through a wide range of transient problems including different kinds of time-dependent PDEs, |
Keywords | meshless schemes; unsteady fluid flows; computational fluid dynamics; numerical schemes |
ANZSRC Field of Research 2020 | 401204. Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics) |
https://research.usq.edu.au/item/9z550/meshless-radial-basis-function-method-for-unsteady-incompressible-viscous-flows
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