Numerical study of stream-function formulation governing flows in multiply-connected domains by integrated RBFs and Cartesian grids

Le-Cao, K. and Mai-Duy, N. and Tran, C.-D. and Tran-Cong, T. (2011) Numerical study of stream-function formulation governing flows in multiply-connected domains by integrated RBFs and Cartesian grids. Computers and Fluids , 44 (1). pp. 32-42. ISSN 0045-7930

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Abstract

This paper describes a new numerical procedure, based on point collocation, integrated multiquadric functions and Cartesian grids, for the discretisation of the stream-function formulation for flows of a Newtonian fluid in multiply-connected domains. Three particular issues, namely (i) the derivation of the stream-function values on separate boundaries, (ii) the implementation of cross derivatives in irregular regions, and (iii) the treatment of double boundary conditions, are studied in the context of Cartesian grids and approximants based on integrated multiquadric functions in one dimension. Several test problems, i.e. steady flows between a rotating circular cylinder and a fixed square cylinder and also between eccentric cylinders maintained at different temperatures, are investigated. Results obtained are compared well with numerical data available in the literature.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Permanent restricted access to published version due to publisher copyright policy.
Depositing User: Dr Canh-Dung Tran
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - No Department
Date Deposited: 15 Sep 2011 04:21
Last Modified: 25 Aug 2014 21:28
Uncontrolled Keywords: stream-function formulation; multiply-connected domain; integrated radial-basis-function network; Cartesian grid
Fields of Research (FOR2008): 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics
09 Engineering > 0915 Interdisciplinary Engineering > 091504 Fluidisation and Fluid Mechanics
Socio-Economic Objective (SEO2008): E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: doi: 10.1016/j.compfluid.2010.11.027
URI: http://eprints.usq.edu.au/id/eprint/19638

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