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

DOI10.1016/j.amc.2020.125463OpenAlexW3045682917MaRDI QIDQ2660325

Xi Li, Xiao-Feng Yang, Chuanjun Chen, Jun Zhang

Publication date: 30 March 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2020.125463

zbMATH Keywords

phase-fieldCahn-Hilliardunconditional energy stabilitycopolymerSAVtri-block

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in statistical mechanics (82M20)

Related Items (8)

An efficient linear and unconditionally stable numerical scheme for the phase field sintering model ⋮ A linear convex splitting scheme for the Cahn–Hilliard equation with a high‐order polynomial free energy ⋮ A fully-decoupled discontinuous Galerkin method for the nematic liquid crystal flows with SAV approach ⋮ An adaptive BDF2 implicit time-stepping method for the no-slope-selection epitaxial thin film model ⋮ Thermodynamically consistent algorithms for models of incompressible multiphase polymer solutions with a variable mobility ⋮ Thermodynamically consistent algorithms for models of diblock copolymer solutions interacting with electric and magnetic fields ⋮ Decoupled, second-order accurate in time and unconditionally energy stable scheme for a hydrodynamically coupled ternary Cahn-Hilliard phase-field model of triblock copolymer melts ⋮ Second-order stabilized semi-implicit energy stable schemes for bubble assemblies in binary and ternary systems

Cites Work

• Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
• On the derivation of a density functional theory for microphase separation of diblock copolymers
• Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
• Efficient and accurate numerical schemes for a hydro-dynamically coupled phase field diblock copolymer model
• The scalar auxiliary variable (SAV) approach for gradient flows
• Fast, provably unconditionally energy stable, and second-order accurate algorithms for the anisotropic Cahn-Hilliard model
• Unconditionally energy stable large time stepping method for the \(L^2\)-gradient flow based ternary phase-field model with precise nonlocal volume conservation
• Efficient numerical scheme for a dendritic solidification phase field model with melt convection
• Decoupled, non-iterative, and unconditionally energy stable large time stepping method for the three-phase Cahn-Hilliard phase-field model
• A novel decoupled and stable scheme for an anisotropic phase-field dendritic crystal growth model
• Bubble assemblies in ternary systems with long range interaction
• Energy stable semi-implicit schemes for Allen-Cahn-Ohta-Kawasaki model in binary system
• Efficient second order unconditionally stable time marching numerical scheme for a modified phase-field crystal model with a strong nonlinear vacancy potential
• Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model

This page was built for publication: Efficient linear, decoupled, and unconditionally stable scheme for a ternary Cahn-Hilliard type Nakazawa-Ohta phase-field model for tri-block copolymers