@Article{CiCP-28-4,
author = {Yuzhe, Qin and Zhen, Xu and Zhang, Hui and Zhengru, Zhang},
title = {Fully Decoupled, Linear and Unconditionally Energy Stable Schemes for the Binary Fluid-Surfactant Model},
journal = {Communications in Computational Physics},
year = {2020},
volume = {28},
number = {4},
pages = {1389--1414},
abstract = {<p style="text-align: justify;">Here, we develop a first and a second order time stepping schemes for a binary fluid-surfactant phase field model by using the scalar auxiliary variable approach.
The free energy contains a double-well potential, a nonlinear coupling entropy and a
Flory-Huggins potential. The resulting coupled system consists of a Cahn-Hilliard
type equation and a Wasserstein type equation which leads to a degenerate problem.
By introducing only one scalar auxiliary variable, the system is transformed into an
equivalent form so that the nonlinear terms can be treated semi-explicitly. Both the
schemes are linear and decoupled, thus they can be solved efficiently. We further prove
that these semi-discretized schemes in time are unconditionally energy stable. Some
numerical experiments are performed to validate the accuracy and energy stability of
the proposed schemes.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2019-0175},
url = {https://global-sci.com/article/79726/fully-decoupled-linear-and-unconditionally-energy-stable-schemes-for-the-binary-fluid-surfactant-model}
}