Abstract
In two-phase flow field, the present researches of the droplet behavior simulation on the different structured-surface and different material provide the helpful information for the material research and micro-fluidic channel design. In this thesis, the three dimensional lattice Boltzmann model based on Zheng et al., which is for high density ratio, with partial wetting boundary condition by Briant et al. is adopted. This method is used to simulate a droplet on a partial wetting surface with given contact angle, and the results are compared with the experiment by Yoshimitsu et al. to verify the accuracy. Three different strategies which focus on dealing with the complicated boundary conditions on edges and corners are implemented, and the most appropriate approach is found out by contrasting the apparent contact angles with the experimental values. On the other hand, in order to improve the computational efficiency, Allen-Cahn equation is also considered and implemented due to simpler diffusion term. The 3D lattice Boltzmann model based on Zheng et al. and Takada et al. cooperating with Allen-Cahn equation is implemented and scrutinized for applicability.