A numerical procedure based on 1D-IRBFN and local MLS-1D-IRBFN methods for fluid-structure interaction analysis

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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Item Type:	Article (Commonwealth Reporting Category C)
Refereed:	Yes
Item Status:	Live Archive
Additional Information:	Copyright © 2012 Tech Science Press.
Faculty/School / Institute/Centre:	Historic - Faculty of Engineering and Surveying - No Department (Up to 30 Jun 2013)
Faculty/School / Institute/Centre:	Historic - Faculty of Engineering and Surveying - No Department (Up to 30 Jun 2013)
Date Deposited:	25 Nov 2012 04:58
Last Modified:	22 Jul 2014 01:28
Uncontrolled Keywords:	fluid-structure interaction; moving boundary; transient analysis; pseudo-time subiterative technique; integrated radial basis function; Cartesian grid
Fields of Research (2008):	01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations 09 Engineering > 0915 Interdisciplinary Engineering > 091501 Computational Fluid Dynamics 09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Fields of Research (2020):	49 MATHEMATICAL SCIENCES > 4903 Numerical and computational mathematics > 490303 Numerical solution of differential and integral equations 40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401204 Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics) 40 ENGINEERING > 4017 Mechanical engineering > 401706 Numerical modelling and mechanical characterisation
Socio-Economic Objectives (2008):	E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI:	https://doi.org/10.3970/cmes.2012.083.459
URI:	http://eprints.usq.edu.au/id/eprint/21710

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