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Numerical Investigation to the Effect of Initial Guess for Phase-Field Models

Numerical Investigation to the Effect of Initial Guess for Phase-Field Models
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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.

Author Details

Sungha Yoon

Jian Wang

Chaeyoung Lee

Junxiang Yang

Hyundong Kim

Junseok Kim

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