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 GibbsThomson 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:

 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Publication Date:
 Research Org.:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
 Sponsoring Org.:
 USDOE Office of Science (SC); USDOE Office of Energy Efficiency and Renewable Energy (EERE)
 OSTI Identifier:
 1531246
 Alternate Identifier(s):
 OSTI ID: 1530458
 Grant/Contract Number:
 AC0500OR22725
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Computational Materials Science
 Additional Journal Information:
 Journal Volume: 169; Journal Issue: C; Journal ID: ISSN 09270256
 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. https://www.osti.gov/servlets/purl/1531246.
@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 GibbsThomson 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}
}
Web of Science