Numerical Investigation to the Effect of Initial Guess for Phase-Field Models
- Authors
- Yoon, Sungha; Wang, Jian; Lee, Chaeyoung; Yang, Junxiang; Park, Jintae; Kim, Hyundong; Kim, Junseok
- Issue Date
- 2021
- Publisher
- GLOBAL SCIENCE PRESS
- Keywords
- Allen-Cahn equation; Cahn-Hilliard equation; phase-field model; level set function
- Citation
- EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, v.11, no.3, pp.618 - 646
- Indexed
- SCIE
SCOPUS
- Journal Title
- EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
- Volume
- 11
- Number
- 3
- Start Page
- 618
- End Page
- 646
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/130118
- DOI
- 10.4208/eajam.200820.071220
- ISSN
- 2079-7362
- 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.
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Collections - College of Science > Department of Mathematics > 1. Journal Articles
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