High-order fully coupled scheme based on compact integrated RBF approximation for viscous flows in regular and irregular domains
Article
Article Title | High-order fully coupled scheme based on compact integrated RBF approximation for viscous flows in regular and irregular domains |
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ERA Journal ID | 3460 |
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) |
Journal Title | CMES Computer Modeling in Engineering and Sciences |
Journal Citation | 105 (4), pp. 301-340 |
Number of Pages | 40 |
Year | 2015 |
Place of Publication | United States |
ISSN | 1526-1492 |
1526-1506 | |
Digital Object Identifier (DOI) | https://doi.org/10.3970/cmes.2015.105.301 |
Web Address (URL) | https://www.techscience.com/CMES/v105n4/27221 |
Abstract | In this study, we present a numerical discretisation scheme, based on a direct fully coupled approach and compact integrated radial basis function (CIRBF) approximations, to simulate viscous flows in regular/irregular domains. The governing equations are taken in the primitive form where the velocity and pressure fields are solved in a direct fully coupled approach. Compact local approximations, based on integrated radial basis functions, over 3-node stencils are introduced into the direct fully coupled approach to represent the field variables. The present scheme is verified through the solutions of several problems including Poisson equations, Taylor-Green vortices and lid driven cavity flows, defined on domains of different shapes. The numerical results obtained by the present scheme are highly accurate and in good agreement with those reported in earlier studies of the same problems. |
Keywords | compact integrated RBF, fully coupled approach, regular/irregular domains, viscous flow, Poisson equations, Taylor-Green vortices, lid driven cavity |
ANZSRC Field of Research 2020 | 490303. Numerical solution of differential and integral equations |
490399. Numerical and computational mathematics not elsewhere classified | |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | Computational Engineering and Science Research Centre |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q318q/high-order-fully-coupled-scheme-based-on-compact-integrated-rbf-approximation-for-viscous-flows-in-regular-and-irregular-domains
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