Phase-field modeling and numerical simulation for ice melting

Jian Wang; Chaeyoung Lee; Hyun Geun Lee; Qimeng Zhang; Junxiang Yang; Sungha Yoon; Jintae Park; Junseok Kim

doi:10.4208/NMTMA.OA-2020-0023

Phase-field modeling and numerical simulation for ice melting

Jian Wang, Chaeyoung Lee, Hyun Geun Lee, Qimeng Zhang, Junxiang Yang, Sungha Yoon, Jintae Park, Junseok Kim

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

6 Citations (Scopus)

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.

Original language	English
Pages (from-to)	540-558
Number of pages	19
Journal	Numerical Mathematics
Volume	14
Issue number	2
DOIs	https://doi.org/10.4208/NMTMA.OA-2020-0023
Publication status	Published - 2021 May

Bibliographical 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:
©2021 Global-Science Press

Keywords

Allen-Cahn equation
Ice melting
Phase-field model

ASJC Scopus subject areas

Modelling and Simulation
Control and Optimization
Computational Mathematics
Applied Mathematics

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10.4208/NMTMA.OA-2020-0023

Cite this

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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.",

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doi = "10.4208/NMTMA.OA-2020-0023",

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AU - Wang, Jian

AU - Lee, Chaeyoung

AU - Lee, Hyun Geun

AU - Zhang, Qimeng

AU - Yang, Junxiang

AU - Yoon, Sungha

AU - Park, Jintae

AU - Kim, Junseok

N1 - 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: ©2021 Global-Science Press

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N2 - 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.

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Phase-field modeling and numerical simulation for ice melting

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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