中文摘要：

具有介观特性的格子Boltzmann方法能够准确方便地捕捉相界面细节，在两相流动领域具有广泛的应用前景。本文在简要介绍格子Boltzmann方法的基础上，利用格子Boltzmann方法的颜色模型对四类经典两相流动问题进行了模拟：界面张力的Laplace定律验证、单液滴松弛过程、两个液滴融合过程、水平通道内不混溶液液两相流动。结果表明：液滴界面张力符合Laplace定律；黏性越大，液滴松弛过程越稳定；界面张力越大，液滴融合速度越快；格子Boltzmann方法能够有效描述液液两相流动的界面信息。研究工作为应用格子Boltzmann方法分析两相流动问题奠定了理论基础。

英文摘要：

The lattice Boltzmann method characteristic of mesoscopic property can accurately and easily capture the multi-phases interface details, and thus has wide potential applications in the field of two-phase flows. Based on a brief introduction to the lattice Boltzmann method, this paper applies the lattice Boltzmann color model to four classic two-phase flow problems, including the Laplace＇s law for interfacialtension, single droplet relaxation, two droplets＇ fusion and immiscible liquid-liquid two-phase flow in a horizontal pipe. Numerical results indicate that the calculated interracial tension of the droplet satisfies well with the Laplace＇s law; the droplet relaxes more stably as the increase of viscosity; the droplets fuse faster as the interfacial tension increases. The two-phase interface details can be captured well in those problems. This work lays a solid foundation for further analysis of two-phase flow using lattice Boltzmann method.