A novel linear, unconditional energy stable scheme for the incompressible Cahn-Hilliard-Navier-Stokes phase-field model

摘要

In this paper, we propose a linear, unconditional energy stable time discretization scheme for Cahn-Hilliard-Navier-Stokes model, which is a phase-field model for two-phase incompressible flow. Based on a Lagrange multiplier approach, our proposed scheme is linearized by using implicit-explicit treatments, and the computation of the velocity field u, the pressure p, the phase function phi are decoupled. Using the mathematical induction, the bound parallel to phi(n)parallel to(L infinity) is obtained. Rigorous error analysis for the variable u, p and phi are carried out in semi-discrete form. Finally, some numerical experiments are done to demonstrate the effectiveness for the proposed method. (C) 2020 Elsevier Ltd. All rights reserved.