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

doi:10.4208/cicp.300612.210313a

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 journal › Article › peer-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 language	English (US)
Pages (from-to)	76-92
Number of pages	17
Journal	Communications in Computational Physics
Volume	15
Issue number	1
DOIs	https://doi.org/10.4208/cicp.300612.210313a
State	Published - Jan 2014
Externally published	Yes

Keywords

Convection
Crystal growth
Diffusion
Lattice kinetics
Modeling
Phase-field

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.4208/cicp.300612.210313a

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

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.",

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AU - Lin, Guang

AU - Bao, Jie

AU - Xu, Zhijie

AU - Tartakovsky, Alexandre M.

AU - Henager, Charles H.

PY - 2014/1

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N2 - 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.

AB - 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.

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