格子气和格子Boltzmann方法的迅速发展提供了一类求解流体力学问题的新方法。格子Boltzmann方法在保留了格子气模型优点的同时，克服了它的不足之处。本文讨论了一种三迭加HPP十三点模型，通过选择适当的平衡分布及参数，并用Chapman-Enskog展开和多尺度技术导出了Navier-Stokes方程。在微机上模拟了空腔流的流动问题，并与传统方法的计算结果进行了比较，结果表明该模型能较好的模拟复杂流动现象，并具有较好的工程应用背景。
The recent development of lattice gas automata (LGA) and lattice Boltzmann method (LBM) have provided new computational models for solving a class of mathematical physic problems. LBM maintain some advantage of LGA model, and overcome the main shortcoming of the LGA. In this paper, a HPP 13-bit model is introduced here. Choosing the parameters of the functions of the equilibrium distribution appropriately and using Chapman-Enskog expansion and muti-scale technique can derive Navier-Stokes equation. Cavity flow is simulated with this model and the numerical result is compared with the result, which was computed by using the traditional method. The results show that LBM is effective to simulate the behavior of complex fluid and valuable engineering.
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