Numerical Investigation to the Effect of Initial Guess for Phase-Field Models

  • Yoon, Sungha
  • Wang, Jian
  • Lee, Chaeyoung
  • Yang, Junxiang
  • Park, Jintae
  • ... Kim, Junseok
  • 외 1명
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초록

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.

키워드

Allen-Cahn equationCahn-Hilliard equationphase-field modellevel set functionELASTIC BENDING ENERGYCAHN-HILLIARD EQUATIONTIME-STEPPING STRATEGYRUNGE-KUTTA METHODSALLEN-CAHNSPINODAL DECOMPOSITIONSTABLE SCHEMESSIMULATIONEFFICIENTACCURATE
제목
Numerical Investigation to the Effect of Initial Guess for Phase-Field Models
저자
Yoon, SunghaWang, JianLee, ChaeyoungYang, JunxiangPark, JintaeKim, HyundongKim, Junseok
DOI
10.4208/eajam.200820.071220
발행일
2021
유형
Article
저널명
East Asian Journal on Applied Mathematics
11
3
페이지
618 ~ 646