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

Yibao Li; Qian Yu; Seokjun Ham; Soobin Kwak; Chaeyoung Lee; Junseok Kim

doi:10.1016/j.ijheatmasstransfer.2023.123847

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

Yibao Li, Qian Yu, Seokjun Ham, Soobin Kwak, Chaeyoung Lee, Junseok Kim

Department of Mathematics

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

6 Citations (Scopus)

Abstract

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.

Original language	English
Article number	123847
Journal	International Journal of Heat and Mass Transfer
Volume	203
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2023.123847
Publication status	Published - 2023 Apr

Bibliographical note

Funding 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.

Publisher Copyright:
© 2023 Elsevier Ltd

Keywords

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

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10.1016/j.ijheatmasstransfer.2023.123847

Cite this

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title = "A phase-field model without artificial curvature effect for the crystal growth simulation",

abstract = "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.",

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author = "Yibao Li and Qian Yu and Seokjun Ham and Soobin Kwak and Chaeyoung Lee and Junseok Kim",

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AU - Li, Yibao

AU - Yu, Qian

AU - Ham, Seokjun

AU - Kwak, Soobin

AU - Lee, Chaeyoung

AU - Kim, Junseok

N1 - Funding 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. Publisher Copyright: © 2023 Elsevier Ltd

PY - 2023/4

Y1 - 2023/4

N2 - 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.

AB - 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.

KW - Artificial curvature effect

KW - Cell-centered finite difference method

KW - Crystal growth

KW - Phase-field model

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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