Lattice Boltzmann Numerical Simulation of a Circular Cylinder
FENG Shi-De1,2, ZHAO Ying1, GAO Xian-Lin2,3, JI Zhong-Zhen1
1State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029
2School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094
3Northchina Institute of Computing Technology, Ministry of Information Industry, Beijing 100083
Lattice Boltzmann Numerical Simulation of a Circular Cylinder
1State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029
2School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094
3Northchina Institute of Computing Technology, Ministry of Information Industry, Beijing 100083
Abstract: The lattice Boltzmann equation (LBE) model based on the Boltzmann equation is suitable for the numerical simulation of various flow fields. The fluid dynamics equation can be recovered from the LBE model. However, compared to the Navier-Stokes transport equation, the fluid dynamics equation derived from the LBE model is somewhat different in the viscosity transport term, which contains not only Navier-Stokes transport equation but also nonsteady pressure and momentum flux terms. The two nonsteady terms can produce the same function as the random stirring force term introduced in the direct numerical or large-eddy vortex simulation of turbulence. Through computation of a circular cylinder, it is verified that the influence of the two nonsteady terms on flow field stability can not be ignored, which is helpful for the study of turbulence.