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Title: A sharp interface model for deterministic simulation of dendrite growth

Abstract

A high order level set model is developed for deterministic simulation of dendritic growth in unstable solidifying systems. The model captures motion of the front implicitly on a structured finite difference grid, enables calculation of its geometric properties and also applies boundary conditions on the immersed interface. Interfacial capillary effect is incorporated in the model through the Gibbs-Thomson condition. Canonical problems for evaluating grid convergence of the numerical method and validation tests for stability of a growing nucleus in the presence of isotropic surface tension are presented. The growth morphology of solidifying nuclei in undercooled metallic melts is quantitatively analyzed. Effects of crystal anisotropy and melt undercooling on the front geometry, propagation speed and formation of branched dendritic structures are examined. In conclusion, the complex morphological changes, such as remelting of secondary perturbations under specific conditions of undercooling, are also captured during the quantitative analysis.

Authors:
ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE)
OSTI Identifier:
1531246
Alternate Identifier(s):
OSTI ID: 1530458
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Computational Materials Science
Additional Journal Information:
Journal Volume: 169; Journal Issue: C; Journal ID: ISSN 0927-0256
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 97 MATHEMATICS AND COMPUTING; Level set; Solidification; Dendrite growth; Immersed boundary

Citation Formats

Ramanuj, Vimal A., Sankaran, Ramanan, and Radhakrishnan, Balasubramaniam. A sharp interface model for deterministic simulation of dendrite growth. United States: N. p., 2019. Web. doi:10.1016/j.commatsci.2019.109097.
Ramanuj, Vimal A., Sankaran, Ramanan, & Radhakrishnan, Balasubramaniam. A sharp interface model for deterministic simulation of dendrite growth. United States. doi:10.1016/j.commatsci.2019.109097.
Ramanuj, Vimal A., Sankaran, Ramanan, and Radhakrishnan, Balasubramaniam. Sat . "A sharp interface model for deterministic simulation of dendrite growth". United States. doi:10.1016/j.commatsci.2019.109097.
@article{osti_1531246,
title = {A sharp interface model for deterministic simulation of dendrite growth},
author = {Ramanuj, Vimal A. and Sankaran, Ramanan and Radhakrishnan, Balasubramaniam},
abstractNote = {A high order level set model is developed for deterministic simulation of dendritic growth in unstable solidifying systems. The model captures motion of the front implicitly on a structured finite difference grid, enables calculation of its geometric properties and also applies boundary conditions on the immersed interface. Interfacial capillary effect is incorporated in the model through the Gibbs-Thomson condition. Canonical problems for evaluating grid convergence of the numerical method and validation tests for stability of a growing nucleus in the presence of isotropic surface tension are presented. The growth morphology of solidifying nuclei in undercooled metallic melts is quantitatively analyzed. Effects of crystal anisotropy and melt undercooling on the front geometry, propagation speed and formation of branched dendritic structures are examined. In conclusion, the complex morphological changes, such as remelting of secondary perturbations under specific conditions of undercooling, are also captured during the quantitative analysis.},
doi = {10.1016/j.commatsci.2019.109097},
journal = {Computational Materials Science},
number = C,
volume = 169,
place = {United States},
year = {2019},
month = {6}
}

Journal Article:
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This content will become publicly available on June 29, 2020
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