A three dimensional immersed smoothed finite element method (3D IS-FEM) for fluid–structure interaction problems

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 incompressi...

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Bibliographic Details
Published in:Computational mechanics Vol. 51; no. 2; pp. 129 - 150
Main Authors: Zhang, Zhi-Qian, Liu, G. R., Khoo, Boo Cheong
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer-Verlag 01.02.2013
Springer
Springer Nature B.V
Subjects:
Analysis
Classical and Continuum Physics
Computational fluid dynamics
Computational Science and Engineering
Deformation
Engineering
Finite element analysis
Finite element method
Fluid flow
Fluid-structure interaction
Fluids
Incompressible flow
Interpolation
Mathematical analysis
Methods
Navier-Stokes equations
Nonlinear programming
Nonlinearity
Original Paper
Theoretical and Applied Mechanics
Three dimensional
Time integration
Viscous fluids
Finite element method
Fluid–structure interaction
Incompressible viscous fluid
Characteristic-based split
Immersed smoothed finite element method
Immersed boundary
ISSN:0178-7675, 1432-0924
Online Access:Get full text
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Summary: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.
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ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-012-0710-1