@Article{CiCP-15-76,
author = {Guang Lin, Jie Bao, Zhijie Xu, Alexandre M. Tartakovsky and Charles H. Henager Jr.},
title = {A Phase-Field Model Coupled with Lattice Kinetics Solver for Modeling Crystal Growth in Furnaces},
journal = {Communications in Computational Physics},
year = {2014},
volume = {15},
number = {1},
pages = {76--92},
abstract = {<p style="text-align: justify;">In this study, we present a new numerical model for crystal growth in a
vertical solidification system. This model takes into account the buoyancy induced
convective flow and its effect on the crystal growth process. The evolution of the crystal growth interface is simulated using the phase-field method. A semi-implicit lattice
kinetics solver based on the Boltzmann equation is employed to model the unsteady
incompressible flow. This model is used to investigate the effect of furnace operational
conditions on crystal growth interface profiles and growth velocities. For a simple
case of macroscopic radial growth, the phase-field model is validated against an analytical solution. The numerical simulations reveal that for a certain set of temperature
boundary conditions, the heat transport in the melt near the phase interface is diffusion
dominant and advection is suppressed.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.300612.210313a},
url = {http://global-sci.org/intro/article_detail/cicp/7088.html}
}