A singular value decomposition based generalized finite difference method for fluid solid interaction problems

A hybrid meshfree-Cartesian grid method is proposed for simulating three dimensional fluid-solid interaction (FSI) problems involving rigid bodies with large boundary motions. The rigid body is embedded and enveloped by a cloud of mesh-free nodes, which convect with the motion of the body against a...

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Vydáno v:WIT Transactions on the Built Environment Ročník 105; s. 25 - 34
Hlavní autoři: YU, P, YEO, K. S, WANG, X. Y, ANG, S. J
Médium: Konferenční příspěvek Journal Article
Jazyk:angličtina
Vydáno: Southampton WIT 2009
W I T Press
Témata:
Cartesian coordinates
Computer simulation
Decomposition
Exact sciences and technology
Finite difference method
Finite element method
Fluid-solid interactions
Fundamental areas of phenomenology (including applications)
Grid method
Iterative methods
Meshless methods
Nodes
Physics
Rigid structures
Rotating bodies
Shear flow
Singular value decomposition
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Projection method
Sphere
Rotating system
Free fall
Shear flow
Numerical simulation
Fluid structure interaction
Modeling
Singular value decomposition
Finite difference method
ISBN:9781845643591, 1845643593
ISSN:1746-4498, 1743-3509
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Abstract A hybrid meshfree-Cartesian grid method is proposed for simulating three dimensional fluid-solid interaction (FSI) problems involving rigid bodies with large boundary motions. The rigid body is embedded and enveloped by a cloud of mesh-free nodes, which convect with the motion of the body against a background of Cartesian nodes. Spatial discretization is accomplished by the combination of a Generalized Finite Difference (GFD) method and conventional finite difference (FD) method applied to the meshfree and Cartesian nodes respectively. Error minimization in GFD is carried out by singular value decomposition (SVD). A time-implicit iterative procedure is employed to compute the new/evolving position of the immersed bodies together with the dynamically coupled solutions of the flow field and bodies. The present method is applied to simulate the FSI problems of freely falling bodies in quiescent flow and freely rotating bodies in shear flow. The good agreement with published results validates the ability of the present hybrid meshfree-Cartesian grid scheme for solving FSI problems in 3D.
AbstractList A hybrid meshfree-Cartesian grid method is proposed for simulating three dimensional fluid-solid interaction (FSI) problems involving rigid bodies with large boundary motions. The rigid body is embedded and enveloped by a cloud of mesh-free nodes, which convect with the motion of the body against a background of Cartesian nodes. Spatial discretization is accomplished by the combination of a Generalized Finite Difference (GFD) method and conventional finite difference (FD) method applied to the meshfree and Cartesian nodes respectively. Error minimization in GFD is carried out by singular value decomposition (SVD). A time-implicit iterative procedure is employed to compute the new/evolving position of the immersed bodies together with the dynamically coupled solutions of the flow field and bodies. The present method is applied to simulate the FSI problems of freely falling bodies in quiescent flow and freely rotating bodies in shear flow. The good agreement with published results validates the ability of the present hybrid meshfree-Cartesian grid scheme for solving FSI problems in 3D.
Author WANG, X. Y
YU, P
ANG, S. J
YEO, K. S
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  surname: YU
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  organization: Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576, Singapore
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  organization: Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576, Singapore
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  organization: Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576, Singapore
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  surname: ANG
  fullname: ANG, S. J
  organization: Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore 117576, Singapore
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Keywords Projection method
Sphere
Rotating system
Free fall
Shear flow
Numerical simulation
Fluid structure interaction
Modeling
Singular value decomposition
Finite difference method
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Snippet A hybrid meshfree-Cartesian grid method is proposed for simulating three dimensional fluid-solid interaction (FSI) problems involving rigid bodies with large...
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StartPage 25
SubjectTerms Cartesian coordinates
Computer simulation
Decomposition
Exact sciences and technology
Finite difference method
Finite element method
Fluid-solid interactions
Fundamental areas of phenomenology (including applications)
Grid method
Iterative methods
Meshless methods
Nodes
Physics
Rigid structures
Rotating bodies
Shear flow
Singular value decomposition
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Title A singular value decomposition based generalized finite difference method for fluid solid interaction problems
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Volume 105
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