Phase-field modeling and numerical simulation for ice melting

Jian Wang, Chaeyoung Lee, Hyun Geun Lee, Qimeng Zhang, Junxiang Yang, Sungha Yoon, Jintae Park, Junseok Kim

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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 languageEnglish
Pages (from-to)540-558
Number of pages19
JournalNumerical Mathematics
Issue number2
Publication statusPublished - 2021 May


  • Allen-Cahn equation
  • Ice melting
  • Phase-field model

ASJC Scopus subject areas

  • Modelling and Simulation
  • Control and Optimization
  • Computational Mathematics
  • Applied Mathematics


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