TY - JOUR
T1 - Numerical Investigation to the Effect of Initial Guess for Phase-Field Models
AU - Yoon , Sungha
AU - Wang , Jian
AU - Lee , Chaeyoung
AU - Yang , Junxiang
AU - Kim , Hyundong
AU - Kim , Junseok
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 618
EP - 646
PY - 2021
DA - 2021/05
SN - 11
DO - http://doi.org/10.4208/eajam.200820.071220
UR - https://global-sci.org/intro/article_detail/eajam/19145.html
KW - Allen-Cahn equation, Cahn-Hilliard equation, phase-field model, level set function.
AB - <p style="text-align: justify;">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.</p>