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Research Papers: Fluid-Structure Interaction

Modeling of Fluid–Structure Interaction Using Lattice Boltzmann and Finite Element Methods

[+] Author and Article Information
S. R. Blair

Assistant Professor
Department of Mechanical Engineering,
United States Naval Academy,
Annapolis, MD 21402
e-mail: sblair@usna.edu

Y. W. Kwon

Distinguished Professor
Department of Mechanical and
Aerospace Engineering,
Naval Postgraduate School,
Monterey, CA 93943

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received March 6, 2014; final manuscript received May 27, 2014; published online October 15, 2014. Assoc. Editor: Jong Chull Jo.

This material is declared a work of the US Government and is not subject to copyright protection in the United States. Approved for public release; distribution is unlimited.

J. Pressure Vessel Technol 137(2), 021302 (Oct 15, 2014) (9 pages) Paper No: PVT-14-1039; doi: 10.1115/1.4027866 History: Received March 06, 2014; Revised May 27, 2014

The use of lattice Boltzmann methods (LBMs) for fluid flow and its coupling with finite element method (FEM) structural models for fluid–structure interaction (FSI) are investigated. FSI modeling methodology and example applications are presented for single-component flows. Furthermore, multicomponent LBM fluid models are also studied with structural dynamics solvers for 2D FSI simulations. To enhance modeling capability for domains with complex surfaces, a novel coupling method is introduced that allows use of both classical LBM (CLBM) and a finite element LBM (FELBM) to be combined into a hybrid LBM (HLBM) that exploits the flexibility of FELBM while retaining the efficiency of CLBM.

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Figures

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Fig. 1

Schematic of 2D converging–diverging duct

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Fig. 2

Velocity–time history at beam midpoint with a converging–diverging duct (Re = 5, glycerin fluid and cork beam)

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Fig. 3

Schematic diagram of lid-driven cavity FSI problem geometry

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Fig. 4

Results for 2D lid-driven cavity

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Fig. 5

Example of elastic fin attached to a rigid cylinder

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Fig. 6

Plots of tip displacement, velocity, and acceleration of the elastic trailing fin attached to a rigid cylinder at Re = 200

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Fig. 7

Schematic representation of a lid-driven cavity with an elastic beam attached to the lower surface

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Fig. 8

Single-component fluid flow in cavity with beam. Streamlines show development of three distinct vortex regions.

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Fig. 9

Momentum and density fields for fluid 1 at steady-state; Re = 1000

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Fig. 10

Displacement, velocity, and acceleration at the tip of the elastic beam

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Fig. 11

Schematic of HLBM time step. Methodology differs only in implementation of the particle streaming phase.

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Fig. 12

Schematic hybrid lattice on regular domain. Assignment following streaming in the CLBM domain and advection in the FELBM domain is only made to the interior of each respective subdomain. Data drawn from the lattice points on the halo facilitates communication between each subdomain.

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Fig. 13

Hybrid lattice mesh around a circular obstacle. Lattice points with asterisk are in the CLBM subdomain, those circled are in the FELBM subdomain. Those with both markings are members of the interface halo of the two regions.

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Fig. 14

Normalized velocity profile at 30% channel length, Re = 5

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Fig. 15

Normalized velocity profile at 60% channel length, Re = 5

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