scholarly journals Development of a Coupling Model for Fluid-Structure Interaction using the Mesh-free Finite Element Method and the Lattice Boltzmann Method

2013 ◽  
Author(s):  
Jaime Mudrich
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Fluid Structure Interaction ◽  
Coupling Model ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Mesh Free ◽  
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.

Coupled Finite Element Based Lattice Boltzmann Equation and Structural Finite Elements for Fluid-Structure Interaction Application

2008 ◽  
Author(s):  
Y. W. Kwon ◽  
J. C. Jo
Keyword(s):  
Finite Element ◽  
Fluid Flow ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Fluid Structure Interaction ◽  
Computational Technique ◽  
Time Step ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Boltzmann Method

A computational technique was developed for analysis of fluid-structure interaction. The fluid flow was solved using the lattice Boltzmann method which found to be computationally simple and efficient. In order to apply the lattice Boltzmann method to irregular shapes of fluid domains, the finite element based lattice Boltzmann method was developed. In addition, the turbulent model was also implemented into the lattice Boltzmann formulation. Structures were analyzed using either beam or shell elements depending of 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 2-D and 3-D fluid-structure interaction problems were presented to demonstrate the developed techniques.

Coupling of Lattice Boltzmann and Finite Element Methods for Fluid-Structure Interaction Application

2006 ◽  
Author(s):  
Y. W. Kwon
Keyword(s):  
Finite Element ◽  
Structural Dynamics ◽  
Lattice Boltzmann ◽  
Fluid Structure Interaction ◽  
The Finite Element Method ◽  
Interface Boundary ◽  
Structural Domains ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Boltzmann Method

In order to analyze the Fluid-Structure Interaction (FSI) between a flow and a flexible structure, an algorithm was presented to couple the Lattice Boltzmann Method (LBM) and the Finite Element Method (FEM). The LBM was applied to the fluid dynamics while the FEM was applied to the structural dynamics. The two solution techniques were solved in a staggered manner, i.e. one solver after another. Continuity of the velocity and traction was applied at the interface boundaries between the fluid and structural domains. Furthermore, so as to make the fluid-structure interface boundary more flexible in terms of the computational modeling perspective, a technique was also developed for the LBM so that the interface boundary might not coincide with the fluid lattice mesh. Some example problems were presented to demonstrate the developed techniques.

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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