| Abstract: |
| We design an efficient and unconditionally energy stable method for simulating the dynamics of the multi-phase flow based on the the Cahn-Hilliard-Navier-Stokes phase field model with variable density and viscosity. An improved SAV type scheme is developed. We introduce some nonlocal auxiliary variables and associated ordinary differential equations to decouple the nonlinear terms. The resulting scheme is completely decoupled and unconditionally energy stable. The accuracy and stability of the algorithm are verified by numerical simulation. |
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