中文摘要：

针对基于自由能模型的格子Boltzmann方法，推导D3Q15格子模型对应的平衡态分布函数；采用该模型模拟双气泡的融合过程。结果表明，气泡的融合不仅与它们之间的初始间距有关，还与表面张力有关。表面张力越大，气泡融合的临界距离也越大。此外，研究气泡融合速度与初始间距、表面张力及粘性系数的关系。

英文摘要：

Equilibrium distribution functions for lattice model D3Q15 are proposed in the framework of lattice Boltzmann method in free energy model. Bubble merging process is studied. It shows that bubble merging not only depends on initial bubble distance, but also depends on surface tension. The greater the surface tension is, the greater the critical distance for bubble merging. Furthermore, influence of initial bubble distance, surface tension and viscosity on merging velocity are investigated.