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.
Original language | English |
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Pages (from-to) | 540-558 |
Number of pages | 19 |
Journal | Numerical Mathematics |
Volume | 14 |
Issue number | 2 |
DOIs | |
State | Published - May 2021 |
Keywords
- Allen-Cahn equation
- Ice melting
- Phase-field model