A three dimensional immersed smoothed finite element method (3D IS-FEM) for fluid–structure interaction problems
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Author(s)
Zhang, Zhi-Qian
Liu, G. R.
Khoo, Boo Cheong
Date Issued
April 2012
Journal
Computational Mechanics
Publisher
Springer-Verlag
Citation
Zhang, Zhi-Qian, G. R. Liu, and Boo Cheong Khoo. “A Three Dimensional Immersed Smoothed Finite Element Method (3D IS-FEM) for Fluid–structure Interaction Problems.” Comput Mech 51, no. 2 (February 2013): 129–150.
Version
Author's final manuscript
Abstract
A three-dimensional immersed smoothed finite element method (3D IS-FEM) using four-node tetrahedral element is proposed to solve 3D fluid–structure interaction (FSI) problems. The 3D IS-FEM is able to determine accurately the physical deformation of the nonlinear solids placed within the incompressible viscous fluid governed by Navier-Stokes equations. The method employs the semi-implicit characteristic-based split scheme to solve the fluid flows and smoothed finite element methods to calculate the transient dynamics responses of the nonlinear solids based on explicit time integration. To impose the FSI conditions, a novel, effective and sufficiently general technique via simple linear interpolation is presented based on Lagrangian fictitious fluid meshes coinciding with the moving and deforming solid meshes. In the comparisons to the referenced works including experiments, it is clear that the proposed 3D IS-FEM ensures stability of the scheme with the second order spatial convergence property; and the IS-FEM is fairly independent of a wide range of mesh size ratio.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
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DOI of Published Version
https://doi.org/10.1007/s00466-012-0710-1
