Phase-Field Modeling and Numerical Simulation for Ice Melting

被引：7

作者：

Wang, Jian ^{[1
]}

Lee, Chaeyoung ^{[2
]}

Lee, Hyun Geun ^{[3
]}

Zhang, Qimeng ^{[4
]}

Yang, Junxiang ^{[2
]}

Yoon, Sungha ^{[2
]}

Park, Jintae ^{[2
]}

Kim, Junseok ^{[2
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Peoples R China

[2] Korea Univ, Dept Math, Seoul 02841, South Korea

[3] Kwangwoon Univ, Dept Math, Seoul 01897, South Korea

[4] Korea Univ, Interdisciplinary Program Visual Informat Proc, Seoul 02841, South Korea

来源：

NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS | 2021年 / 14卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Allen-Cahn equation; phase-field model; ice melting; CAHN-HILLIARD EQUATION; GROWTH; WATER;

D O I：

10.4208/nmtma.OA-2020-0023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a mathematical model and present numerical simulations for ice melting phenomena. The model is based on the phase-field modeling for the crystal growth. To model ice melting, we ignore anisotropy in the crystal growth model and introduce a new melting term. The numerical solution algorithm is a hybrid method which uses both the analytic and numerical solutions. We perform various computational experiments. The computational results confirm the accuracy and efficiency of the proposed method for ice melting.

引用

页码：540 / 558

页数：19

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