用LBM方法模拟壁面驱动粘性不可压半圆形空腔流

基于格子Boltzmann方法(LBM)数值模拟壁面驱动的粘性不可压半圆形空腔流. 采用具有二阶精度的曲线边界处理方法, 得到了不同雷诺数下的流线图、 涡线图及速度分量沿半圆形中心线的分布. 在小雷诺数的条件下, 流动状态仅由一个涡组成； 随着雷诺数的增加, 出现一个二级涡, 涡的大小与雷诺数有关. 数值结果表明, 格子Boltzmann方法简单有效, 适合处理该问题.

Lattice Boltzmann Simulation of Wall-driven Incompressible Viscous Flow in a Semi-circular Cavity

Based on lattice Boltzmann method, a wall driven incompressible viscous flow was simulated in a semi-circular cavity. The treatment for curved boundary with second accurate was used to obtain the streamlinesand vorticity contours and the velocity component along the center line of semi-circular cavity of the steady states for different Reynolds numbers. When Reynolds number is small, the final steady state flow consistsof one vortex only. As Reynolds number increases, a secondary vortex arises. The size of the vortices is associated with Reynolds numbers too. The numerical results show that lattice Boltzmann method is simple, effective, and suitable to handling the case.