Fully-decoupled and second-order time-accurate scheme for the Cahn-Hilliard Ohta-Kawaski phase-field model of diblock copolymer melt confined in Hele-Shaw cell
From MaRDI portal
Publication:6617379
DOI10.1007/s40304-022-00298-3MaRDI QIDQ6617379
Xiao-Feng Yang, Junying Cao, Jun Zhang
Publication date: 10 October 2024
Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Applications to the sciences (65Z05)
Cites Work
- A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
- Some mathematical aspects of the micro-phase separation in diblock copolymers
- On the derivation of a density functional theory for microphase separation of diblock copolymers
- On efficient second order stabilized semi-implicit schemes for the Cahn-Hilliard phase-field equation
- A second order in time, decoupled, unconditionally stable numerical scheme for the Cahn-Hilliard-Darcy system
- Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
- Numerical approximations for a phase-field moving contact line model with variable densities and viscosities
- Efficient and accurate numerical schemes for a hydro-dynamically coupled phase field diblock copolymer model
- The scalar auxiliary variable (SAV) approach for gradient flows
- Efficient linear, stabilized, second-order time marching schemes for an anisotropic phase field dendritic crystal growth model
- A novel fully-decoupled, second-order and energy stable numerical scheme of the conserved Allen-Cahn type flow-coupled binary surfactant model
- A new efficient fully-decoupled and second-order time-accurate scheme for Cahn-Hilliard phase-field model of three-phase incompressible flow
- Numerical approximations of the Navier-Stokes equation coupled with volume-conserved multi-phase-field vesicles system: fully-decoupled, linear, unconditionally energy stable and second-order time-accurate numerical scheme
- A fully-discrete decoupled finite element method for the conserved Allen-Cahn type phase-field model of three-phase fluid flow system
- A novel fully-decoupled, second-order time-accurate, unconditionally energy stable scheme for a flow-coupled volume-conserved phase-field elastic bending energy model
- A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations
- 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
- Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable
- Efficient numerical scheme for a dendritic solidification phase field model with melt convection
- An unconditionally energy-stable scheme based on an implicit auxiliary energy variable for incompressible two-phase flows with different densities involving only precomputable coefficient matrices
- Isogeometric analysis of the Cahn-Hilliard phase-field model
- Decoupled energy-law preserving numerical schemes for the Cahn-Hilliard-Darcy system
- Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
- Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows
- The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
- Thermodynamically consistent time-stepping algorithms for non-linear thermomechanical systems
- Low viscosity contrast fingering in a rotating Hele-Shaw cell
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- On the Phase Diagram for Microphase Separation of Diblock Copolymers: An Approach via a Nonlocal Cahn–Hilliard Functional
- Numerical Analysis of a Continuum Model of Phase Transition
- Analytical solutions describing the phase separation driven by a free energy functional containing a long-range interaction term
- Efficient Second Order Unconditionally Stable Schemes for a Phase Field Moving Contact Line Model Using an Invariant Energy Quadratization Approach
- Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
- The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems
- Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations
- An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
- Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation<sup>†</sup>
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
- Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method
- Efficient numerical scheme for a new hydrodynamically-coupled conserved Allen-Cahn type Ohta-Kawaski phase-field model for diblock copolymer melt
- A novel fully decoupled scheme with second-order time accuracy and unconditional energy stability for the Navier-Stokes equations coupled with mass-conserved Allen-Cahn phase-field model of two-phase incompressible flow
This page was built for publication: Fully-decoupled and second-order time-accurate scheme for the Cahn-Hilliard Ohta-Kawaski phase-field model of diblock copolymer melt confined in Hele-Shaw cell