A Singular Value Decomposition Based
Generalized Finite Difference Method For Fluid
Solid Interaction Problems
Author(s)
P. Yu, K. S. Yeo, X. Y. Wang & S. J. Ang
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.
Keywords: fluid-solid interaction, generalized finite difference method, singular
value decomposition, projection method.
1 Introduction
Many flows of practical interest in engineering and bioengineering involve fluidsolid
interaction (FSI). Typical examples include the vibration of bridges and
buildings to winds, the flutter of aircraft wings, the flow of blood through
Keywords
fluid-solid interaction, generalized finite difference method, singular
value decomposition, projection method.
Related Book
Other papers in this volume
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