A fully coupled scheme for viscous flows in regular and irregular domains using compact integrated RBF approximation
Article
| Article Title | A fully coupled scheme for viscous flows in regular and irregular domains using compact integrated RBF approximation |
|---|---|
| ERA Journal ID | 124777 |
| Article Category | Article |
| Authors | Tien, C. M. T. (Author), Thai-Quang, N. (Author), Mai-Duy, N. (Author), Tran, C.-D. (Author) and Tran-Cong, T. (Author) |
| Editors | Steven, Grant P., Li, Qing and Zhang, Zhongpu |
| Journal Title | Applied Mechanics and Materials |
| Journal Citation | 553, pp. 138-143 |
| Number of Pages | 6 |
| Year | 2014 |
| Publisher | Trans Tech Publications |
| Place of Publication | Zurich, Switzerland |
| ISSN | 1660-9336 |
| 1662-7482 | |
| 1662-7490 | |
| Digital Object Identifier (DOI) | https://doi.org/10.4028/www.scientific.net/AMM.553.138 |
| Web Address (URL) | http://www.scientific.net/AMM.553.138 |
| 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. |
| Keywords | compact integrated RBF; fully coupled approach; Poisson equations; regular and irregular domains; Taylor-Green vortices; viscous flow |
| ANZSRC Field of Research 2020 | 490101. Approximation theory and asymptotic methods |
| 340104. Flow analysis | |
| 401609. Polymers and plastics | |
| 490109. Theoretical and applied mechanics | |
| Public Notes | © (2014) Trans Tech Publications, Switzerland. Permanent restricted access to published version in accordance with the copyright policy of the publisher. |
| Byline Affiliations | Computational Engineering and Science Research Centre |
| Event | 1st Australasian Conference on Computational Mechanics (ACCM 2013) |
| Institution of Origin | University of Southern Queensland |
| ISBN | 9783038350682 |
| Event Details | 1st Australasian Conference on Computational Mechanics (ACCM 2013) Parent Australasian Conference On Computational Mechanics Event Date 03 to end of 04 Oct 2013 Event Location Sydney, Australia |
https://research.usq.edu.au/item/q2770/a-fully-coupled-scheme-for-viscous-flows-in-regular-and-irregular-domains-using-compact-integrated-rbf-approximation
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