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Research Papers: Fluid-Structure Interaction

Development of Weighted Residual Based Lattice Boltzmann Techniques for Fluid-Structure Interaction Application

[+] Author and Article Information
Y. W. Kwon1

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

Jong Chull Jo

Department of Safety Issue Research, Korea Institute of Nuclear Safety, Daejeon 305-338, South Korea

1

Corresponding author.

J. Pressure Vessel Technol 131(3), 031304 (Apr 06, 2009) (8 pages) doi:10.1115/1.3089494 History: Received October 25, 2007; Revised July 08, 2008; Published April 06, 2009

New computational techniques were developed for the analysis of fluid-structure interaction. The fluid flow was solved using the newly developed lattice Boltzmann methods, which could solve irregular shape of fluid domains for fluid-structure interaction. To this end, the weighted residual based lattice Boltzmann methods were developed. In particular, both finite element based and element-free based lattice Boltzmann techniques were developed for the fluid domain. Structures were analyzed using either beam or shell elements depending on the nature of the structures. Then, coupled transient fluid flow and structural dynamics were solved one after another for each time step. Numerical examples for both 2D and 3D fluid-structure interaction problems, as well as fluid flow only problems, were presented to demonstrate the developed techniques.

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Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Comparison of different FELBMs, such as the Galerkin method, collocation method, and method of moments, for the plane Poiseuille flow using 2D four-node quadrilateral elements

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Figure 2

Comparison of the 2D four-node quadrilateral, 2D three-node triangular, and 3D eight-node brick-shaped elements for the plane Poiseuille flow using the Galerkin method

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Figure 3

Plot of the normalized velocity profiles for unsteady Couette flow. Both FELBM and EFLBM are compared with the analytical solution.

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Figure 4

Comparison of steady-state velocity profile of flow between two co-axial cylinders using the four-node quadrilateral element. The solutions from the Galerkin method and the method of moments, respectively, are compared with the exact solution.

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Figure 5

Horizontal velocity profile along the vertical centerline of the domain. The CFD solution was obtained from Ref. 36.

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Figure 6

Vertical velocity profile along the horizontal centerline of the domain. The CFD solution was obtained from Ref. 36.

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Figure 7

Converging-diverging duct with a flexible structure at the center of the bottom wall

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Figure 8

Comparison of transverse displacements at the center of the flexible structure located in the middle of a converging-diverging duct between the laminar and turbulent flows

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Figure 9

Comparison of transverse velocities at the center of the flexible structure located in the middle of a converging-diverging duct between the laminar and turbulent flows

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Figure 10

Vibrational transverse displacement at the center of the flexible shell at the bottom of a uniform rectangular shape of a three-dimensional duct

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Figure 11

Vibrational transverse velocity at the center of the flexible shell at the bottom of a uniform rectangular shape of a three-dimensional duct

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Figure 12

Two flows separated by a flexible wall in the middle

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Figure 13

Comparison of displacements of the middle flexible wall at the center for three different pressure difference ratios of the upper duct flow to the lower duct flow

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Figure 14

Comparison of velocities of the middle flexible wall at the center for three different pressure difference ratios of the upper duct flow to the lower duct flow

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