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.
|International Journal of Heat and Mass Transfer
|Published - 2023 Apr
Bibliographical noteFunding Information:
This work is supported by National Natural Science Foundation of China (No. 12271430 ). The corresponding author (J.S. Kim) expresses thanks for the support from the BK21 FOUR program. The authors appreciate the reviewers for their constructive comments, which have improved the quality of this paper.
© 2023 Elsevier Ltd
- Artificial curvature effect
- Cell-centered finite difference method
- Crystal growth
- Phase-field model
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanical Engineering
- Fluid Flow and Transfer Processes