Abstract
A second‐order time stepping scheme is developed for the binary fluid‐surfactant phase‐field model coupled with hydrodynamics by using the scalar auxiliary variable approach and pressure correction method. The free energy contains a double‐well potential, a nonlinear coupling entropy, and a Flory–Huggins potential. By introducing one scalar auxiliary variable, the system is transformed into an equivalent form so that the nonlinear terms can be treated semi‐explicitly. The scheme is linear and decoupled, and thus, they can be solved efficiently. We further prove that the semidiscretized scheme in time is unconditionally energy stable. Numerical experiments are performed to validate the accuracy and energy stability of the proposed scheme.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.