Numerical investigation of nonlinear fluid–structure interaction dynamic behaviors under a general Immersed Boundary-Lattice Boltzmann-Finite Element method

Chun-Lin Gong (), Zhe Fang () and Gang Chen
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Chun-Lin Gong: Shaanxi Aerospace Flight Vehicle Design Key Laboratory, School of Astronautics, Northwestern Polytechnical University, Xi’an, Shaanxi Province, P. R. China
Zhe Fang: Shaanxi Aerospace Flight Vehicle Design Key Laboratory, School of Astronautics, Northwestern Polytechnical University, Xi’an, Shaanxi Province, P. R. China
Gang Chen: State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Astronautics, Xian Jiaotong University, Xi’an, Shaanxi Province, P. R. China

International Journal of Modern Physics C (IJMPC), 2018, vol. 29, issue 04, 1-28

Abstract: A numerical approach based on the immersed boundary (IB), lattice Boltzmann and nonlinear finite element method (FEM) is proposed to simulate hydrodynamic interactions of very flexible objects. In the present simulation framework, the motion of fluid is obtained by solving the discrete lattice Boltzmann equations on Eulerian grid, the behaviors of flexible objects are calculated through nonlinear dynamic finite element method, and the interactive forces between them are implicitly obtained using velocity correction IB method which satisfies the no-slip conditions well at the boundary points. The efficiency and accuracy of the proposed Immersed Boundary-Lattice Boltzmann-Finite Element method is first validated by a fluid–structure interaction (F-SI) benchmark case, in which a flexible filament flaps behind a cylinder in channel flow, then the nonlinear vibration mechanism of the cylinder-filament system is investigated by altering the Reynolds number of flow and the material properties of filament. The interactions between two tandem and side-by-side identical objects in a uniform flow are also investigated, and the in-phase and out-of-phase flapping behaviors are captured by the proposed method.

Keywords: Lattice Boltzmann-immersed boundary method; nonlinear finite element method; fluid structure interaction; flexible flapping filament (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1142/S0129183118500389

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