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 - <p style="text-align: justify;">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.</p>