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相场法作为一种强大的计算模拟方法已广泛应用于模拟和预测材料介观形态及微观结构的演化。模型中采用一系列在界面处连续变化的保守及非保守场变量构造的自由能函数来描述材料的微观结构,场变量在时间和空间上的演化分别遵循Cahn-Hilliard的非线性扩散方程和Allen-Cahn弛豫方程。本文介绍了连续相场法及其应用,还有常用的两种不同动力学数值解法,以及几种常见的相场模型。
Phase-field method as a powerful computational simulation method has been widely used to simulate and predict the mesoscopic morphology and microstructure evolution of materials. The model uses a series of free energy functions constructed by continuous and non-conservative field variables that change continuously at the interface to describe the microstructure of the material. The evolution of the field variables in time and space follows the Cahn-Hilliard nonlinear diffusion equation and Allen -Cahn relaxation equation. This paper introduces the continuous phase field method and its application, as well as two commonly used numerical solutions of different dynamics and several common phase field models.