Numerical Simulation of Dendritic Growth Using Phase-Field Method

By a simple phase-field model,a series of numerical simulations for dendritic growth into undercooled melt is performed to show the formation of various dendritic patterns.Qualitative analysis of the influence of the strength of anisotropy,dimensionless latent heat,and noise factor on the shape of crystal growth is given.The results show that the velocity of principal branch growth increases as strength of anisotropy increases and the branch structure is very strongly dependent on strength of anisotropy;as dimensionless latent heat increases,dendritic structures become obvious during grain growth;competition of branches growth becomes strong as noise factor increases.