Phase-field simulations of crystal growth in a two-dimensional cavity flow

Seunggyu Lee; Yibao Li; Jaemin Shin; Junseok Kim

doi:10.1016/j.cpc.2017.03.005

Phase-field simulations of crystal growth in a two-dimensional cavity flow

Seunggyu Lee, Yibao Li, Jaemin Shin, Junseok Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

In this paper, we consider a phase-field model for dendritic growth in a two-dimensional cavity flow and propose a computationally efficient numerical method for solving the model. The crystal is fixed in the space and cannot be convected in most of the previous studies, instead the supercooled melt flows around the crystal, which is hard to be realized in the real world experimental setting. Applying advection to the crystal equation, we have problems such as deformation of crystal shape and ambiguity of the crystal orientation for the anisotropy. To resolve these difficulties, we present a phase-field method by using a moving overset grid for the dendritic growth in a cavity flow. Numerical results show that the proposed method can predict the crystal growth under flow.

Original language	English
Pages (from-to)	84-94
Number of pages	11
Journal	Computer Physics Communications
Volume	216
DOIs	https://doi.org/10.1016/j.cpc.2017.03.005
Publication status	Published - 2017 Jul

Bibliographical note

Funding Information:
The corresponding author (J.S. Kim) was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (NRF-2014R1A2A2A01003683). The first author (S. Lee) was supported by the National Institute for Mathematical Sciences (NIMS) grant funded by the Korean government (No. A21300000). The author (Y.B. Li) is supported by Natural Science Basic Research Plan in Shaanxi Province of China (2016JQ1024) and by National Natural Science Foundation of China (Nos. 11601416, and 11631012). The author (J. Shin) is supported by Basic Science Research Program through the National Research Foundation of Korea (NRF), which is funded by the Ministry of Education (2009-0093827). The authors greatly appreciate the reviewers for their constructive comments and suggestions, which have improved the quality of this paper.

Publisher Copyright:
© 2017 Elsevier B.V.

Keywords

Cavity flow
Crystal growth
Moving overset grid
Phase-field method

ASJC Scopus subject areas

Hardware and Architecture
General Physics and Astronomy

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10.1016/j.cpc.2017.03.005

Cite this

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title = "Phase-field simulations of crystal growth in a two-dimensional cavity flow",

abstract = "In this paper, we consider a phase-field model for dendritic growth in a two-dimensional cavity flow and propose a computationally efficient numerical method for solving the model. The crystal is fixed in the space and cannot be convected in most of the previous studies, instead the supercooled melt flows around the crystal, which is hard to be realized in the real world experimental setting. Applying advection to the crystal equation, we have problems such as deformation of crystal shape and ambiguity of the crystal orientation for the anisotropy. To resolve these difficulties, we present a phase-field method by using a moving overset grid for the dendritic growth in a cavity flow. Numerical results show that the proposed method can predict the crystal growth under flow.",

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author = "Seunggyu Lee and Yibao Li and Jaemin Shin and Junseok Kim",

note = "Funding Information: The corresponding author (J.S. Kim) was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (NRF-2014R1A2A2A01003683). The first author (S. Lee) was supported by the National Institute for Mathematical Sciences (NIMS) grant funded by the Korean government (No. A21300000). The author (Y.B. Li) is supported by Natural Science Basic Research Plan in Shaanxi Province of China (2016JQ1024) and by National Natural Science Foundation of China (Nos. 11601416, and 11631012). The author (J. Shin) is supported by Basic Science Research Program through the National Research Foundation of Korea (NRF), which is funded by the Ministry of Education (2009-0093827). The authors greatly appreciate the reviewers for their constructive comments and suggestions, which have improved the quality of this paper. Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",

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AU - Lee, Seunggyu

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PY - 2017/7

Y1 - 2017/7

N2 - In this paper, we consider a phase-field model for dendritic growth in a two-dimensional cavity flow and propose a computationally efficient numerical method for solving the model. The crystal is fixed in the space and cannot be convected in most of the previous studies, instead the supercooled melt flows around the crystal, which is hard to be realized in the real world experimental setting. Applying advection to the crystal equation, we have problems such as deformation of crystal shape and ambiguity of the crystal orientation for the anisotropy. To resolve these difficulties, we present a phase-field method by using a moving overset grid for the dendritic growth in a cavity flow. Numerical results show that the proposed method can predict the crystal growth under flow.

AB - In this paper, we consider a phase-field model for dendritic growth in a two-dimensional cavity flow and propose a computationally efficient numerical method for solving the model. The crystal is fixed in the space and cannot be convected in most of the previous studies, instead the supercooled melt flows around the crystal, which is hard to be realized in the real world experimental setting. Applying advection to the crystal equation, we have problems such as deformation of crystal shape and ambiguity of the crystal orientation for the anisotropy. To resolve these difficulties, we present a phase-field method by using a moving overset grid for the dendritic growth in a cavity flow. Numerical results show that the proposed method can predict the crystal growth under flow.

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Phase-field simulations of crystal growth in a two-dimensional cavity flow

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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