Transverse Harmonic Oscillation of Rectangular Container With Viscous Fluid: a Lattice BoltzmannImmersed Boundary Approach

HABTE Mussie A; WU Chuijie

doi:10.21656/1000-0887.390040

Volume 39 Issue 4

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Article Navigation > Applied Mathematics and Mechanics > 2018 > 39(4): 371-394

HABTE Mussie A, WU Chuijie. Transverse Harmonic Oscillation of Rectangular Container With Viscous Fluid: a Lattice BoltzmannImmersed Boundary Approach[J]. Applied Mathematics and Mechanics, 2018, 39(4): 371-394. doi: 10.21656/1000-0887.390040

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Transverse Harmonic Oscillation of Rectangular Container With Viscous Fluid: a Lattice BoltzmannImmersed Boundary Approach

doi: 10.21656/1000-0887.390040

State Key Laboratory of Structural Analysis for Industrial Equipment(Dalian University of Technology), School of Aeronautics and Astronautics, Dalian Liaoning 116024, P.R.China

Funds: The National Natural Science Foundation of China (11372068); the National Key Basic Research and Development Program of China (2014CB744104)

Received Date: 2018-01-24
Rev Recd Date: 2018-03-17
Publish Date: 2018-04-15

Abstract

Abstract

We combined the 3D lattice Boltzmann method (LBM) with the immersed boundary method (IBM) to study the flow physics induced by an elastic rectangular container undergoing harmonic oscillations surrounding a viscous fluid. We propose a semi-microscopic expression for the drag force to compute the hydrodynamic forces at the boundary nodes. An analytical deformation solution is used based on a thin plate elastic deformation theory to calculate the displacement experienced by the boundary. The numerical simulation result(All the results on figure axes, in this article, are displayed in lattice units.) based on the proposed method agreed with the theoretical predictions for channel flow with stationary boundary. The oscillating boundary simulation exhibits the expected flow pattern in line with theory.
- lattice boltzmann method,
- immersed boundary method,
- harmonic oscillation

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References

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