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本文开发了一种基于边界保角变换技术的有限元方法来研究熔体法石榴石晶体生长过程中界面动力学的影响。建立了一个可导致界面上小面形成的动力学模型，该模型可处理界面上粗糙面区域和光滑面区域共存的复杂情况。模型中小面区域的动力学系数与界面上的过冷度及取向角均有关。计算结果显示了小面的形成和界面上各向异性的过冷度分布。
In this paper, a finite element method based on the boundary conformal mapping technique has been developed to study the influence of interface kinetics on the growth of garnet crystals by melt method. A kinetic model that leads to the formation of facets on the interface is established. The model deals with the complexities of coexistence of rough and smooth faces on the interface. The kinetic coefficients of the facet region in the model are related to the undercooling and orientation angle at the interface. The calculated results show the formation of facets and the anisotropic subcooling distribution at the interface.