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- W1566192672 abstract "In this PhD thesis, one-dimensional integrated radial basis function networks (1D-IRBFNs) are further developed for the simulation of viscous and viscoelastic flows in two dimensions. The thesis consists of two main parts.In the first part, 1D-IRBFNs are incorporated into the Galerkin formulation to simulate viscous flows. The governing equations are taken in the streamfunction-vorticity formulation and in the streamfunction formulation. Boundary conditions are effectively imposed with the help of the integration constants. Theproposed 1D-IRBFN-based Galerkin methods are validated through the numerical simulation of several benchmark test problems including free convection in a square slot and in a concentric annulus.In the second part, 1D-IRBFNs are incorporated into the Galerkin and collocation formulations to simulate viscoelastic flows. The momentum and continuityequations are taken in the streamfunction-vorticity formulation and two types of fluid, namely Oldroyd-B and CEF models, are considered. Flows in a rectangular duct and in straight and corrugated tubes are simulated to validate the proposed 1D-IRBFN-based Galerkin/Collocation methods.Main attractive features of the proposed methods include (i) easy implementation; (ii) avoidance of the reduction in convergence rate caused by differentiation; and (iii) effective treatment of derivative boundary conditions. Numerical results show that the proposed methods are stable, high-order accurate and converge well. This study further demonstrates the great potential of usingRBFs in CFD." @default.
- W1566192672 created "2016-06-24" @default.
- W1566192672 creator A5032770069 @default.
- W1566192672 date "2011-02-01" @default.
- W1566192672 modified "2023-09-23" @default.
- W1566192672 title "Integrated radial basis function methods for Newtonian and non-Newtonian fluid flows" @default.
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