Abstract
In the thesis, simulation of droplet state on micro-structured partial wetting surfaces is investigated by using a three-dimensional lattice Boltzmann two-phase model with large liquid-gas density ratio. This is based on the partial wetting boundary method of Briant et al. [12] integrating into the large density ratio model of Zheng et al. [26] This paper reports a way of implementing the partial wetting boundary condition from flat surface to microstructure through different treatments to the the gradient and Laplacien of the order parameter by Ju [55]. We apply this method to deal with the high density ratio two phase flow problems such as the behaviors of the droplet on the microstructure and improve the symmetry of the structure. In addition, we simulate the state of the droplet on micro-structure according to the conditions of experiment, and then we define a dimensionless factor D to connect the size of the droplet and structure. Also, in the present parallel implementation, the single program multiple data (SPMD) environment is employed. Message-Passing-Interface (MPI) is adopted for communication between the processors.