Year: 2021
Author: Jian Wang, Hyun Geun Lee, Chaeyoung Lee, Qimeng Zhang, Hyun Geun Lee, Junxiang Yang, Sungha Yoon, Qimeng Zhang, Junxiang Yang, Jintae Park, Sungha Yoon, Junseok Kim, Jintae Park, Junseok Kim
Numerical Mathematics: Theory, Methods and Applications, Vol. 14 (2021), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.OA-2020-0023
Numerical Mathematics: Theory, Methods and Applications, Vol. 14 (2021), Iss. 2 : pp. 540–558
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Allen-Cahn equation phase-field model ice melting.