A numerical procedure based on 1D-IRBFN and local MLS-1D-IRBFN methods for fluid-structure interaction analysis
Article
Article Title | A numerical procedure based on 1D-IRBFN and local MLS-1D-IRBFN methods for fluid-structure interaction analysis |
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ERA Journal ID | 3460 |
Article Category | Article |
Authors | Ngo-Cong, D. (Author), Mai-Duy, N. (Author), Karunasena, W. (Author) and Tran-Cong, T. (Author) |
Journal Title | CMES Computer Modeling in Engineering and Sciences |
Journal Citation | 83 (5), pp. 459-498 |
Number of Pages | 40 |
Year | 2012 |
Place of Publication | Duluth, GA. United States |
ISSN | 1526-1492 |
1526-1506 | |
Digital Object Identifier (DOI) | https://doi.org/10.3970/cmes.2012.083.459 |
Web Address (URL) | http://www.techscience.com/doi/10.3970/cmes.2011.083.459.pdf |
Abstract | The partition of unity method is employed to incorporate the moving least square (MLS) and one dimensional-integrated radial basis function (1D-IRBFN) techniques in a new approach, namely local MLS-1D-IRBFN or LMLS-1D-IRBFN. This approach leads to sparse system matrices and offers a high level of accuracy as in the case of 1D-IRBFN method. A new numerical procedure based on the 1D-IRBFN method and LMLS-1D-IRBFN approach is presented for a solution of fluid-structure interaction (FSI) problems. A combination of Chorin's method and pseudo-time subiterative technique is presented for a transient solution of 2-D incompressible viscous Navier-Stokes equations in terms of primitive variables. Fluid domains are discretised by using Cartesian grids. The fluid solver is first verified through a solution of mixed convection in a lid-driven cavity with a hot lid and a cold bottom wall. The structural solver is verified with an analytical solution of forced vibration of a beam. The Newmark's method is employed for the forced vibration analysis of the beam based on the Euler-Bernoulli theory. The FSI numerical procedure is then applied to simulate flows in a lid-driven open-cavity with a flexible bottom wall. |
Keywords | fluid-structure interaction; moving boundary; transient analysis; pseudo-time subiterative technique; integrated radial basis function; Cartesian grid |
ANZSRC Field of Research 2020 | 490303. Numerical solution of differential and integral equations |
401204. Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics) | |
401706. Numerical modelling and mechanical characterisation | |
Public Notes | Copyright © 2012 Tech Science Press. |
Byline Affiliations | Computational Engineering and Science Research Centre |
Centre of Excellence in Engineered Fibre Composites | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q16w1/a-numerical-procedure-based-on-1d-irbfn-and-local-mls-1d-irbfn-methods-for-fluid-structure-interaction-analysis
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