Numerical investigation to the effect of initial guess for phase-field models

Sungha Yoon; Jian Wang; Chaeyoung Lee; Junxiang Yang; Jintae Park; Hyundong Kim; Junseok Kim

doi:10.4208/EAJAM.200820.071220

Numerical investigation to the effect of initial guess for phase-field models

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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	618-646
Number of pages	29
Journal	East Asian Journal on Applied Mathematics
Volume	11
Issue number	3
DOIs	https://doi.org/10.4208/EAJAM.200820.071220
Publication status	Published - 2021 Aug

Keywords

Allen-Cahn equation
Cahn-Hilliard equation
Level set function
Phase-field model

ASJC Scopus subject areas

Applied Mathematics

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10.4208/EAJAM.200820.071220

Cite this

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title = "Numerical investigation to the effect of initial guess for phase-field models",

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, Level set function, Phase-field model",

author = "Sungha Yoon and Jian Wang and Chaeyoung Lee and Junxiang Yang and Jintae Park and Hyundong Kim and Junseok Kim",

note = "Funding Information: H. Kim and C. Lee were supported by the Basic Science Research Program of the National Research Foundation of Korea (NRF) funded by the Ministry of Education under Grants NRF-2020R1A6A3A13077105 and NRF-2019R1A6A3A13094308, respectively. The corresponding author (J. Kim) expresses thanks for the support from Korea University. Publisher Copyright: {\textcopyright} 2021 Global-Science Press.",

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doi = "10.4208/EAJAM.200820.071220",

language = "English",

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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 - Park, Jintae

AU - Kim, Hyundong

AU - Kim, Junseok

N1 - Funding Information: H. Kim and C. Lee were supported by the Basic Science Research Program of the National Research Foundation of Korea (NRF) funded by the Ministry of Education under Grants NRF-2020R1A6A3A13077105 and NRF-2019R1A6A3A13094308, respectively. The corresponding author (J. Kim) expresses thanks for the support from Korea University. Publisher Copyright: © 2021 Global-Science Press.

PY - 2021/8

Y1 - 2021/8

N2 - 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.

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.

KW - Allen-Cahn equation

KW - Cahn-Hilliard equation

KW - Level set function

KW - Phase-field model

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U2 - 10.4208/EAJAM.200820.071220

DO - 10.4208/EAJAM.200820.071220

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SN - 2079-7362

VL - 11

SP - 618

EP - 646

JO - East Asian Journal on Applied Mathematics

JF - East Asian Journal on Applied Mathematics

IS - 3

ER -

Numerical investigation to the effect of initial guess for phase-field models

Abstract

Keywords

ASJC Scopus subject areas

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