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Volume 11, Issue 3
Numerical Investigation to the Effect of Initial Guess for Phase-Field Models

Sungha Yoon, Jian Wang, Chaeyoung Lee, Junxiang Yang, Hyundong Kim & Junseok Kim

DOI: 10.4208/eajam.200820.071220

East Asian J. Appl. Math., 11 (2021), pp. 618-646.

Published online: 2021-05

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  • 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.

  • Keywords

Allen-Cahn equation, Cahn-Hilliard equation, phase-field model, level set function.

  • AMS Subject Headings

65M06, 68U10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-11-618, author = {Yoon , SunghaWang , JianLee , ChaeyoungYang , JunxiangKim , 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 = {http://global-sci.org/intro/article_detail/eajam/19145.html} }
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.

Yoon , SunghaWang , JianLee , ChaeyoungYang , JunxiangKim , Hyundong and Kim , Junseok. (2021). Numerical Investigation to the Effect of Initial Guess for Phase-Field Models. East Asian Journal on Applied Mathematics. 11 (3). 618-646. doi:10.4208/eajam.200820.071220
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