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

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

Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics

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