Analysis of viscoelastic flow by a radial basis function networks method

Ho-Minh, D. and Mai-Duy, Nam and Tran-Cong, Thanh (2007) Analysis of viscoelastic flow by a radial basis function networks method. In: 16th Australasian Fluid Mechanics Conference (AFMC 2007), 3-7 Dec 2007, Gold Coast, Australia.

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Abstract

[Abstract]: This paper presents a new mesh-free numerical method based on MultiQuadric (MQ) Radial Basis Function Networks (RBFNs) for the analysis of viscoelastic flows. The method uses universal approximation RBFNs to represent the numerical solution of Partial Differential Equations (PDEs) governing viscoelastic flows. The main advantages of the method are its mesh-free nature and ease of implementation. The working of the method is demonstrated in detail with the simulation of the viscoelastic flow through straight (Poiseuille flow) and corrugated tubes. In the case of corrugated tube flow, the irregularly shaped domain is extended to a regularly shaped one in order to simplify the pre-processing. The method achieves the Weissenberg number of at least up to 100 for the Poiseuille flow of UCM and Oldroyd-B fluids using a collocation density of 6 x 6 and about 4 for the corrugated tube flow of Oldroyd-B fluid using a collocation density of 13 X 25.


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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: No evidence of copyright restrictions.
Depositing User: Dr Nam Mai-Duy
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 02 Jan 2008 23:22
Last Modified: 30 Sep 2013 23:54
Uncontrolled Keywords: analysis, viscoelastic flows, radial basis function networks, RBFNs
Fields of Research (FOR2008): 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010301 Numerical Analysis
09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics
09 Engineering > 0915 Interdisciplinary Engineering > 091504 Fluidisation and Fluid Mechanics
URI: http://eprints.usq.edu.au/id/eprint/3685

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