【摘要】 为了将格子Boltzmann法应用于大雷诺数流动的模拟,本文将Smagorinsky亚格子模型和LBGK模型相结合,并对该亚格子LBM模型进行了研究。利用该亚格子LBM模型,对二维顶盖驱动流进行了模拟,得到了若干大雷诺数下流线图和方腔中心线上无量纲速度分布。计算结果与基准解进行比较,两者相互吻合。更多还原

【Abstract】 In recent years, the lattice Boltzmann method(LBM) has developed into an alternative and promising numerical scheme for simulating fluid flows and modeling physics in fluids. In order to proposing lattice Boltzmann method for high Reynolds number fluid flow applications, a subgrid turbulence modei for lattice Boltzmann method was proposed on the base of standard Smagorinsky subgrid modei and LBGK modei. Then the subgrid LBGK modei was used to simulate the two-dimensional driven cavity flow at some high Reynolds numbers. The simulation results including distribution of stream lines and dimensionless velocities distribution were compared with benchmark solution. Both simulation results and benchmark solution are agreed with each other.更多还原