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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
