@article{8bb504559a5d4666aa4ed64d9e053070,
title = "Phase-field modeling and numerical simulation for ice melting",
abstract = "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.",
keywords = "Allen-Cahn equation, Ice melting, Phase-field model",
author = "Jian Wang and Chaeyoung Lee and Lee, {Hyun Geun} and Qimeng Zhang and Junxiang Yang and Sungha Yoon and Jintae Park and Junseok Kim",
note = "Funding Information: The first author (Jian Wang) was supported by the China Scholarship Council (201808260026). The author (H. G. Lee) was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2019R1C1C1011112). The corresponding author (J.S. Kim) was supported by Basic Science Research Program through the National Research Founda- tion of Korea (NRF) funded by the Ministry of Education (NRF-2019R1A2C1003053). The authors would like to thank the reviewers for their constructive and helpful comments on the revision of this article. Publisher Copyright: {\textcopyright}2021 Global-Science Press",
year = "2021",
month = may,
doi = "10.4208/NMTMA.OA-2020-0023",
language = "English",
volume = "14",
pages = "540--558",
journal = "Numerical Mathematics",
issn = "1004-8979",
publisher = "Global Science Press",
number = "2",
}