本研究利用兩晶格波茲曼方法提供了三維液滴碰撞的數值研究。密度和粘度比設置為100和10。採用的邊界條件為周期性邊界。為驗證數值模擬結果，結果與實驗研究文獻進行相比較。由於求解Cahn-Hilliard方程時，會造成液滴非物理性的收縮結果，此現象可透過降低遷移率來減緩。 數值模擬結果還討論了液滴碰撞系統中的能量演化。為了加速計算，該程序在多GPU群集上實現。

The two-phase field lattice Boltzmann method provided the numerical investigation of three-dimensional droplet collision in this study. The density and viscosity ratio is set as 100 and 10. The periodic boundary is adopted. The validation test of the simulation method is compared with experimental research. Because of the droplet's unphysical shrinkage when solving the Cahn-Hilliard equation, the mobility effect is also discussed. The simulation results are also discussed the energy evolution in droplet collision system. For accelerating the computation, the program is implemented on the multi-GPU cluster.

摘要
目次
第一章---------------2
第二章---------------9
第三章---------------23
第四章---------------34

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