A fully coupled scheme for viscous flows in regular and irregular domains using compact integrated RBF approximation

Tien, C. M. T. and Thai-Quang, N. and Mai-Duy, N. and Tran, C.-D. and Tran-Cong, T. (2014) A fully coupled scheme for viscous flows in regular and irregular domains using compact integrated RBF approximation. Applied Mechanics and Materials, 553. pp. 138-143. ISSN 1662-7482


In this study, we present a numerical discretisation scheme, based on a fully coupled approach and compact local integrated radial basis function (CIRBF) approximations, to solve the Navier-Stokes equation in rectangular/non-rectangular domains. The velocity and pressure fields are simulated in a fully coupled manner [1] with Cartesian grids. The field variables are locally approximated in each direction by using CIRBF approximations defined over 3-node stencils, where nodal values of the first- and second-order derivatives of the field variables are also included [2, 3]. The present scheme, whose system matrix is sparse, is verified through the solutions of several test problems including Taylor-Green vortices. Highly accurate solutions are obtained.

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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: © (2014) Trans Tech Publications, Switzerland. Permanent restricted access to published version in accordance with the copyright policy of the publisher. Presented at: 1st Australasian Conference on Computational Mechanics (ACCM 2013) held in Sydney 3-4 Oct 2013
Faculty/School / Institute/Centre: Current - Faculty of Health, Engineering and Sciences - School of Mechanical and Electrical Engineering
Date Deposited: 09 Jul 2014 02:12
Last Modified: 04 Jul 2016 05:44
Uncontrolled Keywords: compact integrated RBF; fully coupled approach; Poisson equations; regular and irregular domains; Taylor-Green vortices; viscous flow
Fields of Research : 01 Mathematical Sciences > 0102 Applied Mathematics > 010201 Approximation Theory and Asymptotic Methods
03 Chemical Sciences > 0301 Analytical Chemistry > 030103 Flow Analysis
09 Engineering > 0912 Materials Engineering > 091209 Polymers and Plastics
01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI: 10.4028/www.scientific.net/AMM.553.138
URI: http://eprints.usq.edu.au/id/eprint/25449

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