采用格子Boltzmann方法(Lattice Boltzmann Method-LBM)对二维顶盖驱动方腔流动进行数值模拟。在计算中分别使用半步长反弹、非平衡反弹、以及非平衡外推三种边界处理格式,并得到了不同格式对应的流线分布,流函数最小值、涡心坐标、几何中心线速度分布等。通过将所得结果与基准解进行比较,就三种边界格式的计算效率,计算精度、以及计算稳定性等方面进行了讨论和分析,为LBM计算中边界格式的选择提供了有益的参考。
In this paper, two-dimensional lid-driven cavity flow is simulated by lattice Boltzmann method. Three boundary scheme of LBM are used to get distribution of stream lines, dimensionless velocities distribution, values of stream function, as well as location of vertex center, respectively. The simulation and benchmark results are compared, and efficiency, precision, as well as stability of computation for different scheme are discussed, which are expected to provide valuable reference to boundary scheme selecting in LBM simulation.