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Research Papers: Fluid-Structure Interaction

Coupling of Lattice Boltzmann and Finite Element Methods for Fluid-Structure Interaction Application

[+] Author and Article Information
Y. W. Kwon

Department of Mechanical & Astronautical Engineering, Naval Postgraduate School, Monterey, CA 93943

J. Pressure Vessel Technol 130(1), 011302 (Jan 08, 2008) (6 pages) doi:10.1115/1.2826405 History: Received July 31, 2006; Revised December 20, 2006; Published January 08, 2008

In order to analyze the fluid-structure interaction between a flow and a flexible structure, an algorithm was presented to couple the lattice Boltzmann method (LBM) and the finite element method (FEM). The LBM was applied to the fluid dynamics while the FEM was applied to the structural dynamics. The two solution techniques were solved in a staggered manner, i.e., one solver after another. Continuity of the velocity and traction was applied at the interface boundaries between the fluid and structural domains. Furthermore, so as to make the fluid-structure interface boundary more flexible in terms of the computational modeling perspective, a technique was also introduced for the LBM so that the interface boundary might not coincide with the fluid lattice mesh. Some example problems were presented to demonstrate the developed techniques.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

2D lattice with nine points showing discrete velocity vectors

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Figure 2

Structural boundary shown as the bold line with node S is located between two fluid lattice Points A and B. While Point B is a real fluid lattice, Point A is a fictitious lattice because it is located inside the structure.

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Figure 3

Poiseuille flow in a channel. The bold lines denote rigid boundaries located between the fluid lattice points.

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Figure 4

Normalized velocity distribution for Poiseuille flow with different δ values in Fig. 3

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Figure 5

Flow between a rigid boundary and a flexible beam. The left and right sides have the periodic flow boundary condition.

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Figure 6

Time history plot of transverse displacements at the center of the bottom beam of Fig. 5 for two different δ values shown in Fig. 3

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Figure 7

Flow between two rigid boundaries containing a slanted flexible beam structure inside at the bottom wall

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Figure 8

Transverse displacement and velocity versus time at the center of the flexible beam shown in Fig. 7

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Figure 9

Plot of the fluid velocity and the structural displacement at an instant of time

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Figure 10

Cavity driven flow inside a flexible container. The flexible walls are denoted by a broken line.

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Figure 11

Time-history plot of longitudinal and transverse displacements of the container at the center of the bottom wall

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Figure 12

Plot of fluid velocity and structural displacement of the case shown in Fig. 1 at an instant

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