Numerical investigation to the effect of initial guess for phase-field models

Sungha Yoon, Jian Wang, Chaeyoung Lee, Junxiang Yang, Jintae Park, Hyundong Kim, Junseok Kim

    Research output: Contribution to journalArticlepeer-review

    6 Citations (Scopus)

    Abstract

    The construction of relevant initial conditions in the phase-field models for interfacial problems is discussed. If the model is supposed to have a local equilibrium at the interface, it must be based on a local distance function. However, since for the Cartesian coordinates non-uniform boundaries occur, the initial conditions have to be corrected in order to match the actual phenomena. We discuss the volume correction method, image initialisation, non-overlapping multi component concentration, etc. The methods presented can be used in the initial guess constructions for various phase-field models.

    Original languageEnglish
    Pages (from-to)618-646
    Number of pages29
    JournalEast Asian Journal on Applied Mathematics
    Volume11
    Issue number3
    DOIs
    Publication statusPublished - 2021 Aug

    Bibliographical note

    Funding Information:
    H. Kim and C. Lee were supported by the Basic Science Research Program of the National Research Foundation of Korea (NRF) funded by the Ministry of Education under Grants NRF-2020R1A6A3A13077105 and NRF-2019R1A6A3A13094308, respectively. The corresponding author (J. Kim) expresses thanks for the support from Korea University.

    Publisher Copyright:
    © 2021 Global-Science Press.

    Keywords

    • Allen-Cahn equation
    • Cahn-Hilliard equation
    • Level set function
    • Phase-field model

    ASJC Scopus subject areas

    • Applied Mathematics

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