A sharp interface model for deterministic simulation of dendrite growth

Ramanuj, Vimal A.; Sankaran, Ramanan; Radhakrishnan, Balasubramaniam

doi:10.1016/j.commatsci.2019.109097

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:

^[1];

^[1]

Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Publication Date:: Sat Jun 29 00:00:00 EDT 2019

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:: 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.

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                    Ramanuj, Vimal A., Sankaran, Ramanan, & Radhakrishnan, Balasubramaniam. A sharp interface model for deterministic simulation of dendrite growth.  United States.  https://doi.org/10.1016/j.commatsci.2019.109097

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                    Ramanuj, Vimal A., Sankaran, Ramanan, and Radhakrishnan, Balasubramaniam. Sat .  
"A sharp interface model for deterministic simulation of dendrite growth".  United States.  https://doi.org/10.1016/j.commatsci.2019.109097.  https://www.osti.gov/servlets/purl/1531246.

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@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         = {Sat Jun 29 00:00:00 EDT 2019},

  month        = {Sat Jun 29 00:00:00 EDT 2019}

}

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https://doi.org/10.1016/j.commatsci.2019.109097

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Cited by: 6 works

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Figures / Tables:

Figure 1: Schematic representation of a level set function. The function, φ_P, at a point, P, in space takes negative and positive values in solid and liquid domains respectively, with its magnitude representing shortest distance, d, from the interface. The contour corresponding to the zero level set implicitly captures themore »

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