| Abstract: | In this paper, we propose a mathematical model and present numericalsimulations 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 thecrystal growth model and introduce a new melting term. The numerical solutionalgorithm is a hybrid method which uses both the analytic and numerical solutions.We perform various computational experiments. The computational results confirmthe accuracy and efficiency of the proposed method for ice melting. |
