TY - JOUR
T1 - Phase-field simulations of crystal growth in a two-dimensional cavity flow
AU - Lee, Seunggyu
AU - Li, Yibao
AU - Shin, Jaemin
AU - Kim, Junseok
N1 - 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.
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.
KW - Cavity flow
KW - Crystal growth
KW - Moving overset grid
KW - Phase-field method
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U2 - 10.1016/j.cpc.2017.03.005
DO - 10.1016/j.cpc.2017.03.005
M3 - Article
AN - SCOPUS:85016569605
VL - 216
SP - 84
EP - 94
JO - Computer Physics Communications
JF - Computer Physics Communications
SN - 0010-4655
ER -