We consider in this paper numerical approximations of a Cahn-Hilliard binary phase-field fluid-surfactant model. By adding a quartic form of the gradient potential, we first modify the commonly used total free energy into a form which is bounded from below and establish the energy law for the new system. Then we develop a stabilized-SAV scheme that combines the SAV approach with the stabilization technique, where a crucial linear stabilization term is added to enhance the stability thus allowing large time steps. With many desired properties such as a second-order in time, totally decoupled, linear, and non-iterative, this scheme is unconditionally energy stable and requires solving only four decoupled and linear biharmonic equations with constant coefficients at each time step. We further prove the energy stability and present numerous 2D and 3D numerical simulations to demonstrate the accuracy and stability of the developed scheme

我们在本文中考虑了Cahn-Hilliard二元相场流体表面活性剂模型的数值近似。通过添加梯度势的四次形式，我们首先将常用的总自由能修改为从下限界定的形式，并建立新系统的能量定律。然后，我们开发了一种结合了SAV方法和稳定技术的稳定SAV方案，其中添加了关键的线性稳定项以增强稳定性，从而允许较长的时间步长。具有许多期望的特性，例如时间上的二阶，完全解耦，线性和非迭代，此方案无条件地保持能量稳定，并且在每个时间步仅需要求解四个具有恒定系数的解耦和线性双谐波方程。