在此論文中，我們利用三維的晶格波茲曼兩相流模型來模擬並探討高密度比的液滴在微結構表面上的潤濕性。此模型是根據Briant et al.[12]之部分潤濕性邊界法並結合Zheng et al[26]之高密度比兩相流模型衍生而成。此論文提供了一個從平板到微結構上執行部分性潤濕邊界法的途徑。

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.

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