Year: 2021
Author: Sungha Yoon, Jian Wang, Chaeyoung Lee, Junxiang Yang, Hyundong Kim, Junseok Kim
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.200820.071220
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 3 : pp. 618–646
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 29
Keywords: Allen-Cahn equation Cahn-Hilliard equation phase-field model level set function.