Numerical Simulation of Viscous Flow over a Square Cylinder Using Lattice Boltzmann Method

Abstract

This work is concerned with the lattice Boltzmann computation of two-dimensional incompressible viscous flow past a square cylinder confined in a channel. It is known that the nature of the flow past cylindrical obstacles is very complex. In the present work, computations are carried out both for steady and unsteady flows using lattice Boltzmann method. Effects of Reynolds number, blockage ratio, and channel length are studied in detail. As good care has been taken to include appropriate measures in the computational method, these results enjoy good credibility. To sum up, the present study reveals many interesting features of square cylinder problem and demonstrates the capability of the lattice Boltzmann method to capture these features.

Two-Dimensional Simulation of the Navier-Stokes Equations for Laminar and Turbulent Flow around a Heated Square Cylinder with Forced Convection

“…The immersed boundary method coupled with the virtual physical model was used to simulate incompressible two-dimensional flows around a heated square cylinder at constant temperature on its surface. In order to validate the code, the works [18] [19] and [20] were used. A good numerical convergence was obtained, being the margin of error, with respect to these works, less than 3%.…”

“…In Table 1 it is presented the results obtained for the mean value of the drag coefficients, for different Reynolds numbers, and compare them with the drag coefficients presented in [18] and [19], which were obtained by the Boltzmann method and finite volume discretizations. We observe here that, when the Reynolds number increases, the drag coefficient also increases, particularly for vortex spill flows.…”

Numerical Study of Gas Microflow within a Triangular Lid-driven Cavity

“…The method, therefore, ensures a relation between the macro and the microscopic descriptions of flow. Only a few studies that have investigated the effectiveness of this method and extend its ability to model hydrodynamic and rarefied flows [14][15][16][17][18][19][20]. However, the study of such flows requires a good choice and implementation of the boundary conditions (BC), which is a key step in the LBM simulation process.…”

Numerical Investigation of Incompressible Forced Convection in a Channel with a Rectangular Prism

“…Computational time and heat transfer accuracy compared with LBM code and commercial CFD code each other. Lattice Boltzmann Method examines the similar problem of forced convection in a rectangular obstacle channel [15][16][17]. Two studies [15,16] modelled just flow equation by LBM and one study [17] modelled flow equation by LBM and modelled energy equation by finite difference method.…”