Ngo-Cong, D. and Mai-Duy, N. and Karunasena, W. ORCID: https://orcid.org/0000-0003-3636-3068 and Tran-Cong, T.
(2012)
A numerical procedure based on 1D-IRBFN and local MLS-1D-IRBFN methods for fluid-structure interaction analysis.
CMES: Computer Modeling in Engineering and Sciences, 83 (5).
pp. 459-498.
ISSN 1526-1492
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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.
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