Study on forcing schemes in the thermal lattice Boltzmann method for simulation of natural convection flow problems

Heat Transfer ◽  
2021 ◽  
Author(s):  
Eslam Ezzatneshan ◽  
Ashkan Salehi ◽  
Hamed Vaseghnia
Keyword(s):  
Natural Convection ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Flow Problems ◽  
Boltzmann Method ◽  
Thermal Lattice Boltzmann

scholarly journals A dynamically adaptive lattice Boltzmann method for thermal convection problems

2016 ◽  
Vol 26 (4) ◽  
pp. 735-747
Author(s):  
Kai Feldhusen ◽  
Ralf Deiterding ◽  
Claus Wagner
Keyword(s):  
Natural Convection ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Adaptive Mesh Refinement ◽  
Large Scale ◽  
Adaptive Mesh ◽  
Convection Flow ◽  
Double Population ◽  
Boltzmann Method ◽  
Rayleigh Numbers

Abstract Utilizing the Boussinesq approximation, a double-population incompressible thermal lattice Boltzmann method (LBM) for forced and natural convection in two and three space dimensions is developed and validated. A block-structured dynamic adaptive mesh refinement (AMR) procedure tailored for the LBM is applied to enable computationally efficient simulations of moderate to high Rayleigh number flows which are characterized by a large scale disparity in boundary layers and free stream flow. As test cases, the analytically accessible problem of a two-dimensional (2D) forced convection flow through two porous plates and the non-Cartesian configuration of a heated rotating cylinder are considered. The objective of the latter is to advance the boundary conditions for an accurate treatment of curved boundaries and to demonstrate the effect on the solution. The effectiveness of the overall approach is demonstrated for the natural convection benchmark of a 2D cavity with differentially heated walls at Rayleigh numbers from 103 up to 108. To demonstrate the benefit of the employed AMR procedure for three-dimensional (3D) problems, results from the natural convection in a cubic cavity at Rayleigh numbers from 103 up to 105 are compared with benchmark results.

Simulation of natural convection under high magnetic field by means of the thermal lattice Boltzmann method

2009 ◽  
Vol 18 (10) ◽  
pp. 4083-4093 ◽  
Author(s):  
Zhong Cheng-Wen ◽  
Xie Jian-Fei ◽  
Zhuo Cong-Shan ◽  
Xiong Sheng-Wei ◽  
Yin Da-Chuan
Keyword(s):  
Magnetic Field ◽  
Natural Convection ◽  
Lattice Boltzmann Method ◽  
High Magnetic Field ◽  
Lattice Boltzmann ◽  
Boltzmann Method ◽  
Thermal Lattice Boltzmann
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