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Title: Modeling melt convection in phase-field simulations of solidification

Abstract

A novel diffuse interface model is presented for the direct numerical simulation of microstructure evolution in solidification processes involving convection in the liquid phase. The solidification front is treated as a moving interface in the diffuse approximation as known from phase-field theories. The no-slip condition between the melt and the solid is realized via a drag resistivity in the diffuse interface region. The model is shown to accurately reproduce the usual sharp interface conditions in the limit of a thin diffuse interface region. A first test of the model is provided for flow through regular arrays of cylinders with a stationary interface. Then, two examples are presented that involve solid/liquid phase-change: (1) coarsening of a mush of a binary alloy, where both the interface curvature and the flow permeability evolve with time, and (2) dendritic growth in the presence of melt convection with particular emphasis on the operating point of the tip.

Authors:
; ; ; ;
Publication Date:
Research Org.:
Univ. of Iowa, Iowa City, IA (US)
Sponsoring Org.:
National Science Foundation (NSF); National Aeronautics and Space Administration; USDOE
OSTI Identifier:
20000637
DOE Contract Number:  
FG02-92ER45471
Resource Type:
Journal Article
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 154; Journal Issue: 2; Other Information: PBD: 20 Sep 1999; Journal ID: ISSN 0021-9991
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 99 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; SOLIDIFICATION; MICROSTRUCTURE; MATHEMATICAL MODELS; CONVECTION; BINARY ALLOY SYSTEMS; DENDRITES; CRYSTAL GROWTH

Citation Formats

Beckermann, C., Diepers, H.J., Steinbach, I., Karma, A., and Tong, X. Modeling melt convection in phase-field simulations of solidification. United States: N. p., 1999. Web. doi:10.1006/jcph.1999.6323.
Beckermann, C., Diepers, H.J., Steinbach, I., Karma, A., & Tong, X. Modeling melt convection in phase-field simulations of solidification. United States. doi:10.1006/jcph.1999.6323.
Beckermann, C., Diepers, H.J., Steinbach, I., Karma, A., and Tong, X. Mon . "Modeling melt convection in phase-field simulations of solidification". United States. doi:10.1006/jcph.1999.6323.
@article{osti_20000637,
title = {Modeling melt convection in phase-field simulations of solidification},
author = {Beckermann, C. and Diepers, H.J. and Steinbach, I. and Karma, A. and Tong, X.},
abstractNote = {A novel diffuse interface model is presented for the direct numerical simulation of microstructure evolution in solidification processes involving convection in the liquid phase. The solidification front is treated as a moving interface in the diffuse approximation as known from phase-field theories. The no-slip condition between the melt and the solid is realized via a drag resistivity in the diffuse interface region. The model is shown to accurately reproduce the usual sharp interface conditions in the limit of a thin diffuse interface region. A first test of the model is provided for flow through regular arrays of cylinders with a stationary interface. Then, two examples are presented that involve solid/liquid phase-change: (1) coarsening of a mush of a binary alloy, where both the interface curvature and the flow permeability evolve with time, and (2) dendritic growth in the presence of melt convection with particular emphasis on the operating point of the tip.},
doi = {10.1006/jcph.1999.6323},
journal = {Journal of Computational Physics},
issn = {0021-9991},
number = 2,
volume = 154,
place = {United States},
year = {1999},
month = {9}
}