Efficient coupling of direct forcing immersed boundary‐lattice Boltzmann method and finite element method to simulate fluid‐structure interactions

2019 ◽  
Vol 92 (6) ◽  
pp. 545-572 ◽  
Author(s):  
Jianhua Qin ◽  
Yiannis Andreopoulos ◽  
Xiaohai Jiang ◽  
Guodan Dong ◽  
Zhihua Chen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Immersed Boundary ◽  
Fluid Structure Interactions ◽  
Fluid Structure ◽  
Direct Forcing ◽  
Efficient Coupling ◽  
Boltzmann Method

Fluid-Structure Interaction Using Lattice Boltzmann Method Coupled With Finite Element Method

2018 ◽  
pp. 262-292
Author(s):  
Zhe Li ◽  
Julien Favier
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Fluid Structure Interaction ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Boltzmann Method ◽  
Element Method ◽  
Coupling Strategies

This chapter presents several partitioned algorithms to couple lattice Boltzmann method (LBM) and finite element method (FEM) for numerical simulation of transient fluid-structure interaction (FSI) problems with large interface motion. Partitioned coupling strategies allow one to solve separately the fluid and solid subdomains using adapted or optimized numerical schemes, which provides a considerable flexibility for FSI simulation, especially for more realistic and industrial applications. However, partitioned coupling procedures often encounter numerical instabilities due to the fact that the time integrations of the two subdomains are usually carried out in a staggered way. As a consequence, the energy transfer across the fluid-solid interface is usually not correctly simulated, which means numerical energy injection or dissipation might occur at the interface with partitioned methods. The focus of the present chapter is given to the energy conservation property of different partitioned coupling strategies for FSI simulation.

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

2018 ◽  
Vol 29 (04) ◽  
pp. 1850038 ◽  
Author(s):  
Chun-Lin Gong ◽  
Zhe Fang ◽  
Gang Chen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Lattice Boltzmann ◽  
Fluid Structure Interaction ◽  
Numerical Approach ◽  
Immersed Boundary ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Flexible Objects ◽  
Element Method

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.

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