A phase-field model coupled with lattice kinetics solver for modeling crystal growth in furnaces

Guang Lin, Jie Bao, Zhijie Xu, Alexandre M. Tartakovsky, Charles H. Henager

Research output: Contribution to journalArticlepeer-review

Abstract

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 themelt near the phase interface is diffusion dominant and advection is suppressed.

Original languageEnglish (US)
Pages (from-to)76-92
Number of pages17
JournalCommunications in Computational Physics
Volume15
Issue number1
DOIs
StatePublished - Jan 2014
Externally publishedYes

Keywords

  • Convection
  • Crystal growth
  • Diffusion
  • Lattice kinetics
  • Modeling
  • Phase-field

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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