Tien, C. M. T. and Thai-Quang, N. and Mai-Duy, N. and Tran, C.-D. 
ORCID: https://orcid.org/0000-0002-1011-4226 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
Abstract
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: | Historic - Faculty of Health, Engineering and Sciences - School of Mechanical and Electrical Engineering (1 Jul 2013 - 31 Dec 2021) |
| Faculty/School / Institute/Centre: | Historic - Faculty of Health, Engineering and Sciences - School of Mechanical and Electrical Engineering (1 Jul 2013 - 31 Dec 2021) |
| 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 (2008): | 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 |
| Fields of Research (2020): | 49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490101 Approximation theory and asymptotic methods 34 CHEMICAL SCIENCES > 3401 Analytical chemistry > 340104 Flow analysis 40 ENGINEERING > 4016 Materials engineering > 401609 Polymers and plastics 49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490109 Theoretical and applied mechanics |
| Socio-Economic Objectives (2008): | E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering |
| Identification Number or DOI: | https://doi.org/10.4028/www.scientific.net/AMM.553.138 |
| URI: | http://eprints.usq.edu.au/id/eprint/25449 |
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