基于格子Boltzmann方法模拟方腔顶盖驱动流

格子Boltzmann方法是使用时间和空间完全离散的细观模型来模拟流体宏观行为的一种新方法，模型的平均行为符合宏观的Navier-Stokes方程。给出了格子Boltzmann方法详细的求解过程，提出了一种简化的固壁边界条件处理方法。用格子Boltzmann方法对方腔顶盖驱动流进行了数值模拟，并对模拟结果进行了分析和讨论。通过与前人已有的试验及数值研究结果对比，验证了格子Boltzmann方法的正确性。

Simulation of Lid Driven Flow in Closed Square Cavity Based on Lattice Boltzmann Method

The lattice Boltzmann method, which can simulate the macroscopic behavior of fluid flow, is a relatively new approach that utilizes mesoscopic model in which space, time, and particle velocities are all discrete. The average behaviors of mesoscopic model conform to macroscopic Navier-Stokes equation. In this paper, a detailed analysis of the lattice Boltzmann method was presented, and a new boundary condition was proposed based on the standard bounce-back scheme. Finally, the lid driven flow in closed square cavity is simulated by lattice Boltzmann method, and the simulation results are analyzed and discussed. It shows that the lattice Boltzmann method is correct through comparisons with the corresponding experiments and numerical solutions for the lid driven cavity flow.