@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} }