Phase–field model of isothermal solidification with multiple grain growth

This paper develops a new phase–field model for equiaxed dendrite growth of multiple grains in multicomponent alloys based on the Ginzberg–Landau theory and phase–field model of a single grain. Taking Al–Cu and Al–Cu–Mg alloys for example, it couples the concentration field and simulates the dendrite growth process of multiple grains during isothermal solidification. The result of the simulation shows dendrite competitive growth of multiple grains, and is reapplied to the process of dendrite growth in practical solidification