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.

Numerical Study of Transient Convection With Volumetric Radiation Using an Hybrid Lattice Boltzmann Bhatnagar–Gross–Krook–Control Volume Finite Element Method

2017 ◽  
Vol 139 (9) ◽  
Author(s):  
Raoudha Chaabane ◽  
Faouzi Askri ◽  
Abdelmajid Jemni ◽  
Sassi Ben Nasrallah
Keyword(s):  
Heat Transfer ◽  
Finite Element Method ◽  
Finite Element ◽  
Radiative Heat Transfer ◽  
Lattice Boltzmann ◽  
Radiative Heat ◽  
Control Volume ◽  
Double Population ◽  
Control Volume Finite Element ◽  
Element Method

In this paper, a new hybrid numerical algorithm is developed to solve coupled convection–radiation heat transfer in a two-dimensional cavity containing an absorbing, emitting, and scattering medium. The radiative information is obtained by solving the radiative transfer equation (RTE) using the control volume finite element method (CVFEM), and the density, velocity, and temperature fields are calculated using the two double population lattice Boltzmann equation (LBE). To the knowledge of the authors, this hybrid numerical method is applied at the first time to simulate combined transient convective radiative heat transfer in 2D participating media. In order to test the efficiency of the developed method, two configurations are examined: (i) free convection with radiation in a square cavity bounded by two horizontal insulating sides and two vertical isothermal walls and (ii) Rayleigh–Benard convection with and without radiative heat transfer. The obtained results are validated against available works in literature, and the proposed method is found to be efficient, accurate, and numerically stable.

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.

A FLUX-BASED CONSERVATION APPROACH FOR ACOUSTIC PROBLEMS

2008 ◽  
Vol 16 (01) ◽  
pp. 31-53
Author(s):  
NADIA MASSÉ ◽  
CHRISTIAN PRAX ◽  
EMMANUEL REDON
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Finite Elements ◽  
Control Volume ◽  
Dispersion Analysis ◽  
Two Dimensional ◽  
Field Behavior ◽  
Determination Process ◽  
Spatial Convergence ◽  
Control Volume Finite Element

In this paper a Control Volume Finite Element Method for harmonic acoustic problems is presented. A dispersion analysis for control volume constructed on Q1 finite elements is compared to Galerkin FEM. The spatial convergence is also given in an eigenfrequency determination process for a cavity. The application for exterior acoustic problems is also studied by dividing the whole field into inner and outer domains using a fictitious boundary. A control volume formulation is used to compute the inner field of the truncated problem, and several approaches are combined to describe the outer field behavior on the outside of the fictitious boundary. The task of coupling is easily implemented through the balance of local flux through polygonal volumes. A two-dimensional configuration with a circular interface demonstrates the validity of this approach.

Sign in / Sign up

Export Citation Format

Share Document