@Article{EAJAM-11-3, author = {Yoon, Sungha and Wang, Jian and Lee, Chaeyoung and Yang, Junxiang and Kim, Hyundong and Kim, Junseok}, title = {Numerical Investigation to the Effect of Initial Guess for Phase-Field Models}, journal = {East Asian Journal on Applied Mathematics}, year = {2021}, volume = {11}, number = {3}, pages = {618--646}, 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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.200820.071220}, url = {https://global-sci.com/article/82530/numerical-investigation-to-the-effect-of-initial-guess-for-phase-field-models} }