Efficient linear, decoupled, and unconditionally stable scheme for a ternary Cahn-Hilliard type Nakazawa-Ohta phase-field model for tri-block copolymers

作者:

Highlights:

• We propose a novel stabilized SAV approach for solving the phase field model for tri-block copolymers.

• The proposed schemes are second-order accurate, provably unconditionally energy stable, non-iterative.

• The added linear stabilization term is shown to be crucial enhance the stability while keeping the required accuracy.

• One only need to solve three decoupled linear equations at each time step.

• We further prove the unconditional energy stabilities rigorously and present numerious 2D and 3D simulations.

摘要

•We propose a novel stabilized SAV approach for solving the phase field model for tri-block copolymers.•The proposed schemes are second-order accurate, provably unconditionally energy stable, non-iterative.•The added linear stabilization term is shown to be crucial enhance the stability while keeping the required accuracy.•One only need to solve three decoupled linear equations at each time step.•We further prove the unconditional energy stabilities rigorously and present numerious 2D and 3D simulations.

论文关键词:Phase-field,SAV,Tri-block,Copolymer,Cahn-Hilliard,Unconditional energy stability

论文评审过程:Received 30 December 2019, Revised 6 May 2020, Accepted 8 June 2020, Available online 28 July 2020, Version of Record 28 July 2020.

论文官网地址:https://doi.org/10.1016/j.amc.2020.125463