A phase-field model without artificial curvature effect for the crystal growth simulation

被引:13
作者
Li, Yibao [1 ]
Yu, Qian [1 ]
Ham, Seokjun [2 ]
Kwak, Soobin [2 ]
Lee, Chaeyoung [2 ]
Kim, Junseok [2 ]
机构
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
[2] Korea Univ, Dept Math, Seoul 02841, South Korea
基金
中国国家自然科学基金;
关键词
Artificial curvature effect; Crystal growth; Cell-centered finite difference method; Phase-field model; ALLEN-CAHN EQUATION; NUMERICAL SIMULATIONS; DENDRITIC GROWTH; LATTICE BOLTZMANN; SCHEME; EFFICIENT; PARALLEL; FLOW;
D O I
10.1016/j.ijheatmasstransfer.2023.123847
中图分类号
O414.1 [热力学];
学科分类号
摘要
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.
引用
收藏
页数:11
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