A new integrated-RBF-based domain-embedding scheme for solving fluid-flow problems

Le-Cao, K. and Mai-Duy, N. and Tran, C.-D. ORCID: https://orcid.org/0000-0002-1011-4226 and Tran-Cong, T. (2010) A new integrated-RBF-based domain-embedding scheme for solving fluid-flow problems. In: 9th World Congress on Computational Mechanics and 4th Asian-Pacific Congress on Computational Mechanics (WCCM/APCOM 2010), 19-23 Jul 2010, Sydney, Australia.

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Abstract

This paper presents a new domain embedding numerical scheme for the simulation of flows of a Newtonian fluid in multiply-connected domains. The governing equations are
taken from the stream function-vorticity formulation. The problem domain is converted into a simply-connected domain that is then discretised using a Cartesian grid. Radial-basis-function networks, which are constructed through integration rather than the usual differentiation, are
employed on grid lines to approximate the field variables. Each field variable is assumed to vary over interior holes according to appropriate polynomials that satisfy the boundary conditions. Point collocation is applied to discretise the governing equations. Several linear and nonlinear problems, including natural convection in the annulus between square and circular cylinders are
simulated to verify the proposed technique.

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Item Type:	Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed:	Yes
Item Status:	Live Archive
Additional Information:	Copyright 2010 IOP Publishing Ltd. Open access journal. This publication is copyright. It may be reproduced in whole or in part for the purposes of study, research, or review, but is subject to the inclusion of an acknowledgment of the source.
Faculty/School / Institute/Centre:	Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering (Up to 30 Jun 2013)
Faculty/School / Institute/Centre:	Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering (Up to 30 Jun 2013)
Date Deposited:	08 Sep 2010 04:55
Last Modified:	11 Nov 2015 02:31
Uncontrolled Keywords:	integrated radial basis function; domain embedding scheme; fluid flow problems
Fields of Research (2008):	09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010399 Numerical and Computational Mathematics not elsewhere classified 09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Fields of Research (2020):	40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401204 Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics) 49 MATHEMATICAL SCIENCES > 4903 Numerical and computational mathematics > 490399 Numerical and computational mathematics not elsewhere classified 40 ENGINEERING > 4017 Mechanical engineering > 401706 Numerical modelling and mechanical characterisation
Socio-Economic Objectives (2008):	E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI:	https://doi.org/10.1088/1757-899X/10/1/012021
URI:	http://eprints.usq.edu.au/id/eprint/8562

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