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 -

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.