Phase-Filed Model

Abstract

The phase-field models for solidification, and their governing equations and parameters are briefly introduced. The difference in the sharp interface limit and thin interface limit models are qualitatively explained. The numerical examples of the phase-field simulations on coarsening process, solidification of multi-component alloy and multi-phase alloy, microstructure evolution during rapid solidification and dendrite growth of a faceted crystal are demonstrated with their theoretical backgrounds.