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

Chuanjun Chen, Xi Li, Jun Zhang and Xiaofeng Yang

Applied Mathematics and Computation, 2021, vol. 388, issue C

Abstract: We establish a ternary Cahn-Hilliard type Nakazawa-Ohta phase-field model for the triblock copolymer, and study its numerical approximation. The model is a highly coupled nonlinear system, consisting of two Cahn-Hilliard equations and two nonlocal equations. We solve the model by constructing a second-order accurate, time-marching scheme via the Scalar Auxiliary Variable (SAV) approach combined with the stabilization technique. At every time step, the scheme is composed of several decoupled type bi-Laplace equations, which makes it the first linear and fully-decoupled scheme. We further prove the unconditional energy stability rigorously and perform numerous numerical simulations in 2D and 3D to illustrate it numerically.

Keywords: Phase-field; SAV; Tri-block; Copolymer; Cahn-Hilliard; Unconditional energy stability (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:388:y:2021:i:c:s0096300320304239

DOI: 10.1016/j.amc.2020.125463

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