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格子Ｂｏｌｔｚｍａｎｎ方法是细胞自动机在某些学科中的具体化和应用．它根据微观运动过程的某些基本特征建立简化的、时间和空间完全离散的动力学模型．这种模型的平均行为符合宏观的微分方程．从微观入手的Ｂｏｌｔｚｍａｎｎ方法建立起来的模型源于分子运动论，因而它保持了分子动力学的一些优点，如物理图像清晰、边界容易处理、完全并行等．主要讨论了格子Ｂｏｌｔｚｍａｎｎ方法对二维介质正方形网格下的地震波场进行模拟，并对模拟结果进行了初步的分析和讨论．
Lattice Boltzmann method is the materialization and application of cellular automata in some disciplines. It builds simplified, time and space completely discrete dynamic models based on some basic features of the microscopic motion process. The average behavior of this model fits the macro differential equation. The model built from the microscopic Boltzmann method originates from molecular kinematics and thus retains some of the advantages of molecular dynamics such as clear physical images, easy border processing, and complete parallelism. The lattice Boltzmann method is mainly used to simulate the seismic wavefield under the square grid of two-dimensional media. The simulation results are primarily analyzed and discussed.