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Journal papers
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Shape transformation on curved surfaces using a phase-field model
Title
Shape transformation on curved surfaces using a phase-field model
Authors
Kim
;
Hyundong
;
Kang
;
Seungyoon
;
Lee
;
Gyeonggyu
;
Yoon
;
Sungha
;
Junseok
Ewha Authors
윤성하
SCOPUS Author ID
윤성하
Issue Date
2024
Journal Title
Communications in Nonlinear Science and Numerical Simulation
ISSN
1007-5704
Citation
Communications in Nonlinear Science and Numerical Simulation vol. 133
Keywords
Curved surfaces
;
Phase-field model
;
Shape transformation
;
Stable time-stepping scheme
Publisher
Elsevier B.V.
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
Shape transformation on evolving curved surfaces is essential for its diverse applications across various scientific disciplines and facilitates the deeper understanding of natural phenomena, the development of new materials, and engineering design optimization. In this study, we develop a phase-field model and its numerical methods for shape transformation on curved surfaces. A modified surface Allen–Cahn (AC) equation with a fidelity term is proposed to simulate shape transformation on curved surfaces. To numerically solve the modified surface AC equation on curved surfaces, we propose a fully explicit scheme and an unconditionally stable method. The proposed stable approach is not only simple and efficient to implement numerically but is also unconditionally stable and eliminates the restrictive temporal time step size constraints. Through numerical experiments using the proposed approach, we demonstrate that shape transformation on evolving curved surfaces can be implemented on both simple and complex curved surfaces. © 2024 Elsevier B.V.
DOI
10.1016/j.cnsns.2024.107956
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