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采用自适应有限元方法求解相场模型,分别对界面能各向异性和界面动力学各向异性条件下自由枝晶生长过程进行了模拟.计算表明两种各向异性均显著影响枝晶的生长,随着各向异性的增大枝晶尖端生长速度增大,尖端半径降低.两种各向异性对自由枝晶生长有着不同形式的影响,在界面能各向异性条件下,枝晶生长稳定性系数与各向异性系数成幂函数关系;而在动力学各向异性条件下,稳定性系数与各向异性系数成线性关系.
An adaptive finite element method was used to solve the phase-field model, and the free-dendrite growth process under the interface anisotropy and interfacial dynamic anisotropy was simulated respectively. The results show that both anisotropies significantly affect the growth of dendrite , With the increase of anisotropy, the growth rate of dendritic tip increases and the tip radius decreases.The two anisotropies have different forms of free dendrite growth. Under interfacial anisotropy, the growth stability of dendrite Coefficient and anisotropy coefficient have a power function relationship; while in dynamic anisotropy condition, the stability coefficient and anisotropy coefficient have a linear relationship.