A conservative Allen-Cahn equation with a curvature-dependent Lagrange multiplier
- Authors
- Kwak, Soobin; Yang, Junxiang; Kim, Junseok
- Issue Date
- 4월-2022
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- Conservative Allen-Cahn equation; Fourier-spectral method; Structure-preserving model
- Citation
- APPLIED MATHEMATICS LETTERS, v.126
- Indexed
- SCIE
SCOPUS
- Journal Title
- APPLIED MATHEMATICS LETTERS
- Volume
- 126
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/139325
- DOI
- 10.1016/j.aml.2021.107838
- ISSN
- 0893-9659
- Abstract
- In the present study, we propose a novel conservative Allen-Cahn (CAC) equation with a curvature-dependent Lagrange multiplier. The proposed CAC equation has a superior structure-preserving property. Unlike the conventional CAC equations which have motion by mean curvature with area or volume constraint, the proposed model has minimum dynamics of motion by mean curvature and only has smoothing property of interface transition layer. Therefore, it can be utilized as a building block equation for modeling conservative phase-field applications such as two-phase fluid flows. Several computational tests are conducted to confirm the superior performance of the proposed CAC equation in terms of structure-preserving property. (C) 2021 Elsevier Ltd. All rights reserved.
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Collections - College of Science > Department of Mathematics > 1. Journal Articles
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