scholarly journals Multiplicity of steady solutions in two-dimensional lid-driven cavity flows by Lattice Boltzmann Method

2011 ◽  
Vol 61 (12) ◽  
pp. 3711-3721 ◽  
Author(s):  
D. Arumuga Perumal ◽  
Anoop K. Dass
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Cavity Flows ◽  
Two Dimensional ◽  
Driven Cavity ◽  
Steady Solutions ◽  
Boltzmann Method

scholarly journals Lattice Boltzmann Method for Two-Dimensional Unsteady Incompressible Flow

2016 ◽  
Vol 12 (2) ◽  
pp. 122-127
Author(s):  
Juraj Mužík
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Collision Operator ◽  
Reynolds Numbers ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Navier Stokes Equation ◽  
Driven Cavity ◽  
Boltzmann Method ◽  
Incompressible Navier Stokes Equation

Abstract A Lattice Boltzmann method is used to analyse incompressible fluid flow in a two-dimensional cavity and flow in the channel past cylindrical obstacle. The method solves the Boltzmann’s transport equation using simple computational grid - lattice. With the proper choice of the collision operator, the Boltzmann’s equation can be converted into incompressible Navier-Stokes equation. Lid-driven cavity benchmark case for various Reynolds numbers and flow past cylinder is presented in the article. The method produces stable solutions with results comparable to those in literature and is very easy to implement.

ICCM2016: The Implementation of Two-Dimensional Multi-Block Lattice Boltzmann Method on GPU

2019 ◽  
Vol 16 (05) ◽  
pp. 1840002 ◽  
Author(s):  
Ya Zhang ◽  
Guang Pan ◽  
Qiaogao Huang
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Graphics Processing Unit ◽  
Processing Unit ◽  
Computational Domain ◽  
Two Dimensional ◽  
Driven Cavity ◽  
Boltzmann Method ◽  
Graphics Processing ◽  
Block Lattice

A straightforward implementation of the Multi-Block Lattice Boltzmann Method (MB-LBM) on a Graphics Processing Unit (GPU) is presented to accelerate the simulation of fluid flows in two-dimensional geometries. The algorithm is measured in terms of both accuracy and efficiency with the benchmark cases of the lid-driven cavity flow and the flow past a circular cylinder, and satisfactory results are obtained. The results show that the performance on GPU becomes even better with the amount of data increasing. Moreover, the arrangement of the computational domain has a significant effect on the efficiency. These results demonstrate the great potential of GPU on the MB-LBM, especially when dealing with massive data.

Numerical Simulation of High Reynolds Number Flow Structure in a Lid-Driven Cavity Using MRT-LES

2014 ◽  
Vol 554 ◽  
pp. 665-669
Author(s):  
Leila Jahanshaloo ◽  
Nor Azwadi Che Sidik
Keyword(s):  
Reynolds Number ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Numerical Technique ◽  
Lattice Boltzmann Model ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Driven Cavity ◽  
Reynolds Number Flow ◽  
Boltzmann Method

The Lattice Boltzmann Method (LBM) is a potent numerical technique based on kinetic theory, which has been effectively employed in various complicated physical, chemical and fluid mechanics problems. In this paper multi-relaxation lattice Boltzmann model (MRT) coupled with a Large Eddy Simulation (LES) and the equation are applied for driven cavity flow at different Reynolds number (1000-10000) and the results are compared with the previous published papers which solve the Navier stokes equation directly. The comparisons between the simulated results show that the lattice Boltzmann method has the capacity to solve the complex flows with reasonable accuracy and reliability. Keywords: Two-dimensional flows, Lattice Boltzmann method, Turbulent flow, MRT, LES.

scholarly journals Lid-Driven Cavity For Mantle Convection Modelling Using Lattice Boltzmann Method

2021 ◽  
Vol 32 (1) ◽  
pp. 21-28
Author(s):  
Umar Fauzi
Keyword(s):  
Natural Convection ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Mantle Convection ◽  
Dimensional System ◽  
Kinetic Theory Of Gases ◽  
Driven Cavity ◽  
Two Dimensional System ◽  
Boltzmann Method ◽  
Simulation Systems

The Lattice Boltzmann Method is one of the computational fluid dynamics methods that can be applied to simulate fluid based on the microscopic and kinetic theory of gases. In this study, earth mantle convection is simulated by combining the concept of lid-driven cavity simulation and natural convection using the Lattice Boltzmann method in a two-dimensional system (D2Q9). The results of the lid-driven cavity and natural convection simulation are comparable to previous works. This study shows that at a certain lid velocity, the direction of the moving plume is changed. This earth mantle convection simulation will give better and more reliable results by considering more complicated boundary conditions and adequate simulation systems.

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