Numerical modeling of faceted crystal growth using a lattice Boltzmann-phase field model with a new interfacial energy function

Abstract

A lattice Boltzmann-phase field model is proposed to study faceted crystal growth in a supersaturated solution, taking into account a new anisotropic interfacial energy function to reproduce the facet characteristics. In this model, a flow field solver and a concentration field solver are coupled with the phase field equation to study faceted crystal growth with fluid convection and solute transfer. Qualitative and quantitative comparisons are carried out with the experimental observation and theoretical analysis of snowflakes to demonstrate the validity and accuracy of the present numerical method. Then crystallization of sodium chloride in a supersaturated solution is investigated in a 3D space at a constant temperature. The results show that the initial supersaturation, solute depletion rate, and solution flow can greatly change the faceted crystal growth by affecting solute transport and distribution. The mechanism of the formation of morphologies and interface velocity evolution is studied and concluded, which shows that the present model has instructional significance for studying and understanding the regulation mechanism of faceted crystal growth.