中文摘要：

应用格子Boltzmann两相流方程，结合水平集界面重构技术，提出两相流的数值模型。采用五阶WENO格式和三阶TVD Runge-Kutta格式来求解水平集函数的输运方程。在不计重力的条件下，对液滴平动进行了数值模拟，在计算了800个时间步后，平动的液滴仍然保持原来的形状。在考虑重力的条件下，对液滴在空气中自由下落、液滴冲击液面的全过程进行了数值模拟，精细地刻画了液滴和液面界面的变化过程。数值模拟结果与物理现象一致。

英文摘要：

The Lattice Bohzmann method is combined with the level set interface reconstruction method to establish a model for two-phase flow. The fifth-order WENO scheme and the third-order TVD RungeKutta scheme are adopted to solve the adveetion equation of the level set function. It is found that under the condition of without gravitation the droplet maintains its original shape after 800 time steps. This situation is changed when gravitation exist. The whole process of the droplet free falling and the impact of droplet on liquid surface are simulated. The calculated result accords with the physical mechanism.