Application of lattice Boltzmann method, finite element method, and cellular automata and their coupling to wave propagation problems

2008 ◽  
Vol 86 (7-8) ◽  
pp. 663-670 ◽  
Author(s):  
Y.W. Kwon ◽  
S. Hosoglu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Wave Propagation ◽  
Cellular Automata ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Boltzmann Method ◽  
Element 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.

Transient Rayleigh-Bénard Thermal Convection With Radiation Heat Transfer in Participating Media Using the Control Volume Finite Element Method (CVFEM) and Lattice Boltzmann Method

2021 ◽  
Author(s):  
Raoudha Chaabane ◽  
Abdelmajid Jemni ◽  
Fethi Aloui
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Lattice Boltzmann Method ◽  
Thermal Convection ◽  
Lattice Boltzmann ◽  
Control Volume ◽  
Two Dimensional ◽  
Boltzmann Method ◽  
Control Volume Finite Element ◽  
Rayleigh Benard

Abstract In this paper, a gas-kinetic Bhatnagar-Gross-Krook (BGK) model is constructed for the Rayleigh-Benard thermal convection transfer in a two-dimensional cavity containing an absorbing, emitting, and scattering medium, where the flow field and temperature field are described by two coupled Lattice Boltzmann Method (LBM) BGK models. Heat radiation is solved using the Control Volume Finite Element Method (CVFEM). The two-dimensional Rayleigh-Benard thermal convection with radiation is studied and numerical results are compared with some available benchmark solutions and a good agreement has been observed.

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