An energy-stable method for a phase-field surfactant model
- Authors
- Tan, Zhijun; Tian, Yuan; Yang, Junxiang; Wu, Yanyao; Kim, Junseok
- Issue Date
- 1-11월-2022
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- Novel SAV approach; Efficient algorithm; Phase-field surfactant; Energy dissipation
- Citation
- INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, v.233
- Indexed
- SCIE
SCOPUS
- Journal Title
- INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
- Volume
- 233
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/145635
- DOI
- 10.1016/j.ijmecsci.2022.107648
- ISSN
- 0020-7403
- Abstract
- Two-phase systems with surfactants have extensive applications in scientific and industrial fields. In this paper, we consider a second-order time-accurate, highly efficient, and energy-stable scheme for a phase -field surfactant equation satisfying the energy boundedness. Because of the nonlinear and coupling terms in phase-field surfactant systems, it is not trivial to develop a totally decoupled and energy dissipation -preserving computational scheme. To address this challenge, we use an efficient variant of the scalar auxiliary variable (SAV) approach. The present method has the following merits: (i) The time-marching scheme is completely decoupled and the numerical implementation is efficient; (ii) the energy stability can be estimated in a straightforward manner; and (iii) various surfactant-laden dynamics can be well simulated. Various computational tests are conducted to validate the desired temporal accuracy, energy stability, and capability.
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Collections - College of Science > Department of Mathematics > 1. Journal Articles
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