三维十五点格子Boltzmann模型仿真

THREE DIMENSION 15-SPEED LATTICE BOLTZMANN MODEL SIMULATION

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。本文讨论了一种三维十五点格子Ｂｏｌｔｚｍａｎｎ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．在微机上模拟了工程中比较常见的管排绕流问题，并与实验观察到的结果进行了比较，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。

Developing from lattice gas automata, lattice Boltzmann method provides a new sort of method to solve fluid mechanics problems. A 3-D 15-speed model was discussed in this treatise,by selecting an opportune equilibrium distribution function and other parameters, and with the Chapman- Enskog expansion, N-S equation can be derived from this model;Comparing the simulation results and the experimental results on the flow around rows of tubes,it indicates that this model can effectively simulate intricate flow,and has a promising value in engineering application.