Fast and accurate adaptive finite difference method for dendritic growth

Darae Jeong, Junseok Kim

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


We propose a fast and accurate adaptive numerical method for solving a phase-field model for dendritic growth. The phase-field model for dendritic growth consists of two equations. One is for capturing the interface between solid and melt. The other is for the temperature distribution. For the phase-field equation, we apply a hybrid explicit method on a time-dependent narrow-band domain, which is defined using the phase-field function. For the temperature equation, we apply the explicit Euler method on the whole computational domain. The novelties of the proposed numerical algorithm are that it is very simple and that it does not require the conventional complex adaptive data structures. Our numerical simulation results are consistent with previous results. Furthermore, the computational time required (CPU time) is shorter.

Original languageEnglish
Pages (from-to)95-103
Number of pages9
JournalComputer Physics Communications
Publication statusPublished - 2019 Mar

Bibliographical note

Funding Information:
The authors thank the reviewers for their constructive and helpful comments on the revision of this article. The first author (D. Jeong) was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) ( NRF-2017R1E1A1A03070953 ). The corresponding author (J.S. Kim) was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education ( NRF-2016R1D1A1B03933243 ).

Publisher Copyright:
© 2018 Elsevier B.V.


  • Adaptive numerical method
  • Crystal morphology
  • Dendritic growth
  • Growth from melt
  • Phase-field model
  • Solidification

ASJC Scopus subject areas

  • Hardware and Architecture
  • Physics and Astronomy(all)


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