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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| Veröffentlicht in: | Computational mechanics Jg. 51; H. 2; S. 129 - 150 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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Springer-Verlag
01.02.2013
Springer Springer Nature B.V |
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| ISSN: | 0178-7675, 1432-0924 |
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| 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. |
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| AbstractList | 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. 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. Keywords Fluid-structure interaction * Finite element method * Immersed boundary * Immersed smoothed finite element method * Characteristic-based split * Incompressible viscous fluid |
| Audience | Academic |
| Author | Khoo, Boo Cheong Liu, G. R. Zhang, Zhi-Qian |
| Author_xml | – sequence: 1 givenname: Zhi-Qian surname: Zhang fullname: Zhang, Zhi-Qian email: zhangzhiqian@meshfree.org organization: Singapore-MIT Alliance (SMA), National University of Singapore – sequence: 2 givenname: G. R. surname: Liu fullname: Liu, G. R. organization: School of Aerospace Systems, University of Cincinnati – sequence: 3 givenname: Boo Cheong surname: Khoo fullname: Khoo, Boo Cheong organization: Singapore-MIT Alliance (SMA), National University of Singapore, Department of Mechanical Engineering, National University of Singapore |
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| Keywords | Finite element method Fluid–structure interaction Incompressible viscous fluid Characteristic-based split Immersed smoothed finite element method Immersed boundary |
| Language | English |
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| Snippet | A three-dimensional immersed smoothed finite element method (3D IS-FEM) using four-node tetrahedral element is proposed to solve 3D fluid–structure interaction... A three-dimensional immersed smoothed finite element method (3D IS-FEM) using four-node tetrahedral element is proposed to solve 3D fluid-structure interaction... |
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| SubjectTerms | 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 |
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| Title | A three dimensional immersed smoothed finite element method (3D IS-FEM) for fluid–structure interaction problems |
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