Modeling of crystal growth with density change induced flows by the anisotropic lattice Boltzmann scheme

The density change in solidification can evoke a kind of melt flow and affect the final crystal patterns. A novel model fitting into the anisotropic lattice Boltzmann scheme was developed to describe density change induced flows, in which the flow was straightly depicted by introducing a density gradient raised body force in the lattice Boltzmann equation. The effects of density ratios on crystal growth were numerically studied. The results show that the density change induced flows can significantly affect morphological transitions and there exists a competition between latent heat release and heat transport with mediation of the density change caused flows.