An energy-stable method for a phase-field surfactant model

Zhijun Tan, Yuan Tian, Junxiang Yang, Yanyao Wu, Junseok Kim

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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.

Original languageEnglish
Article number107648
JournalInternational Journal of Mechanical Sciences
Publication statusPublished - 2022 Nov 1


  • Efficient algorithm
  • Energy dissipation
  • Novel SAV approach
  • Phase-field surfactant

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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