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Volume 14, Issue 2
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

Numer. Math. Theor. Meth. Appl., 14 (2021), pp. 540-558.

Published online: 2021-01

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  • 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, phase-field model, ice melting.

  • AMS Subject Headings

65M06, 65D17, 68U05, 68U07, 93A30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{NMTMA-14-540, author = {Wang , JianLee , ChaeyoungGeun Lee , HyunZhang , QimengYang , JunxiangYoon , SunghaPark , Jintae and Kim , Junseok}, title = {Phase-Field Modeling and Numerical Simulation for Ice Melting}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2021}, volume = {14}, number = {2}, pages = {540--558}, 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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.OA-2020-0023}, url = {http://global-sci.org/intro/article_detail/nmtma/18611.html} }
TY - JOUR T1 - Phase-Field Modeling and Numerical Simulation for Ice Melting AU - Wang , Jian AU - Lee , Chaeyoung AU - Geun Lee , Hyun AU - Zhang , Qimeng AU - Yang , Junxiang AU - Yoon , Sungha AU - Park , Jintae AU - Kim , Junseok JO - Numerical Mathematics: Theory, Methods and Applications VL - 2 SP - 540 EP - 558 PY - 2021 DA - 2021/01 SN - 14 DO - http://doi.org/10.4208/nmtma.OA-2020-0023 UR - https://global-sci.org/intro/article_detail/nmtma/18611.html KW - Allen-Cahn equation, phase-field model, ice melting. AB -

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.

Wang , JianLee , ChaeyoungGeun Lee , HyunZhang , QimengYang , JunxiangYoon , SunghaPark , Jintae and Kim , Junseok. (2021). Phase-Field Modeling and Numerical Simulation for Ice Melting. Numerical Mathematics: Theory, Methods and Applications. 14 (2). 540-558. doi:10.4208/nmtma.OA-2020-0023
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