Numerical Prediction of Flow around a Square Cylinder and Radiated Aerodynamic Sound by Using the Lattice Boltzmann Method

Abstract

In this paper, numerical results of flow around a square cylinder and of cavity flow by using Lattice Boltzman Method (LBM) are reported. The calculation is performed with a two models of D3Q15 and D3Q19 under Reynolds number of 140 for the square cylinder flow and of 800, 1600, 3200 and 1.0 x 104 for the cavity flow. In the case of the square cylinder flow calculation, the results of LBM with the D3Q15 are compared to that of the calculation by finite element method based on Navier-Stokes’ equation (NS-FEM) for incompressible flow in the laminar flow field. In the case of the cavity flow calculation, the results of LBM with the D3Q15 and D3Q19 are compared to that of the calculation of the NS-FEM and the measurement by Parasad and Koseff in the laminar and the turbulent flow field.