Traveling wave solution of phase field model for multi-grain systems

The system of governing equations was developed in order to descibe the transformation of multiple crystals for the case of rapid solidification. The model represents itself the extention of a phase field model of multi-grain crystallization by Moelans et.al. The traveling wave solution of phase field model were developed and the description of the dynamics of the moving interface is analysed. © 2019 Author(s)