Motion by Mean Curvature with Constraints Using a Modified Allen-Cahn Equation
- Authors
- Kwak, Soobin; Lee, Hyun Geun; Li, Yibao; Yang, Junxiang; Lee, Chaeyoung; Kim, Hyundong; Kang, Seungyoon; Kim, Junseok
- Issue Date
- 7월-2022
- Publisher
- SPRINGER/PLENUM PUBLISHERS
- Keywords
- Motion by mean curvature; Phase-field model; Fourier spectral method; Finite difference method
- Citation
- JOURNAL OF SCIENTIFIC COMPUTING, v.92, no.1
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF SCIENTIFIC COMPUTING
- Volume
- 92
- Number
- 1
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/142920
- DOI
- 10.1007/s10915-022-01862-3
- ISSN
- 0885-7474
- Abstract
- In this article, we present a simple and accurate computational scheme for motion by mean curvature with constraints using a modified Allen-Cahn (AC) equation. The modified AC equation contains a nonlinear source term which enforces the constraints such as volume and average mean curvature. We use a linear convex splitting-type method with Fourier spectral method to numerically solve the modified AC equation. We perform several characteristic computational tests to demonstrate the efficiency and accuracy of the proposed method. The computational results confirm the robust and high performance of the proposed algorithm.
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- Appears in
Collections - College of Science > Department of Mathematics > 1. Journal Articles
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