In this study, we present a novel phase-field model without artificial curvature effect for the crystal growth simulation. Most phase-field models for dendritic growth are based on the anisotropic Allen- Cahn (AC) equation which models anti-phase domain coarsening in a binary alloy. However, the AC equation intrinsically contains the motion by mean curvature term, i.e., curvature flow, which may have effect on the phases transition. In this work, we remove the artificial curvature effect and propose a novel phase-field model without artificial curvature effect for the dendritic growth simulation. Both two-and three-dimensional numerical tests show that, in the case of the new phase-field model, dendritic growth develops faster than the conventional phase-field model because of the absence of artificial motion by mean curvature effect. In addition, we show that the proposed model has applicability to polycrystal growth.(c) 2023 Elsevier Ltd. All rights reserved.
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Amirkabir Univ Technol, Tehran Polytech, Fac Math & Comp Sci, Dept Appl Math, Tehran, IranAmirkabir Univ Technol, Tehran Polytech, Fac Math & Comp Sci, Dept Appl Math, Tehran, Iran
Masoumzadeh, Reza
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Abbaszadeh, Mostafa
Dehghan, Mehdi
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Amirkabir Univ Technol, Tehran Polytech, Fac Math & Comp Sci, Dept Appl Math, Tehran, IranAmirkabir Univ Technol, Tehran Polytech, Fac Math & Comp Sci, Dept Appl Math, Tehran, Iran
机构:
Tohoku Univ, Grad Sch Environm Studies, Aoba Ku, 6-6-01 Aoba, Sendai, Miyagi 9808579, JapanTohoku Univ, Grad Sch Environm Studies, Aoba Ku, 6-6-01 Aoba, Sendai, Miyagi 9808579, Japan
Kawada, T.
Terada, K.
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Tohoku Univ, Int Res Inst Disaster Sci, Aoba Ku, 468-1-S403-404 Aoba, Sendai, Miyagi 9800845, JapanTohoku Univ, Grad Sch Environm Studies, Aoba Ku, 6-6-01 Aoba, Sendai, Miyagi 9808579, Japan
机构:
Guizhou Univ Finance & Econ, Computat Math Res Ctr, Guiyang 550025, Guizhou, Peoples R ChinaGuizhou Univ Finance & Econ, Computat Math Res Ctr, Guiyang 550025, Guizhou, Peoples R China
Zhang, Jun
Chen, Chuanjun
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Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Peoples R ChinaGuizhou Univ Finance & Econ, Computat Math Res Ctr, Guiyang 550025, Guizhou, Peoples R China
Chen, Chuanjun
Yang, Xiaofeng
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Univ South Carolina, Dept Math, Columbia, SC 29208 USAGuizhou Univ Finance & Econ, Computat Math Res Ctr, Guiyang 550025, Guizhou, Peoples R China