A second order numerical scheme of the Cahn-Hilliard-Navier-Stokes system with Flory-Huggins potential
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Publication:6585901
DOI10.4208/cicp.oa-2023-0038MaRDI QIDQ6585901
Jianyu Jing, Wenbin Chen, Qian-qian Liu, Cheng Wang, Xiaoming Wang
Publication date: 12 August 2024
Published in: Communications in Computational Physics (Search for Journal in Brave)
positivity preservingCahn-Hilliard-Navier-Stokes systemCrank-Nicolson approximationFlory-Huggins energy potentialsecond order accurate numerical scheme
Cites Work
- An \(H^2\) convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn-Hilliard equation
- A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
- A linear iteration algorithm for a second-order energy stable scheme for a thin film model without slope selection
- Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system
- Energy stable numerical schemes for ternary Cahn-Hilliard system
- Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy
- Conservative multigrid methods for Cahn--Hilliard fluids.
- Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system
- Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms
- A second order energy stable scheme for the Cahn-Hilliard-Hele-Shaw equations
- A uniquely solvable, energy stable numerical scheme for the functionalized Cahn-Hilliard equation and its convergence analysis
- A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
- Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers' equation
- An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels
- An iteration solver for the Poisson-Nernst-Planck system and its convergence analysis
- A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance
- Second-order decoupled energy-stable schemes for Cahn-Hilliard-Navier-Stokes equations
- A positivity preserving, energy stable finite difference scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system
- An improved error analysis for a second-order numerical scheme for the Cahn-Hilliard equation
- A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy
- A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids
- An overview of projection methods for incompressible flows
- A second-order, weakly energy-stable pseudo-spectral scheme for the Cahn-Hilliard equation and its solution by the homogeneous linear iteration method
- Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density
- A general framework to derive linear, decoupled and energy-stable schemes for reversible-irreversible thermodynamically consistent models
- Projection method III: Spatial discretization on the staggered grid
- Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation
- Long Time Stability of High Order MultiStep Numerical Schemes for Two-Dimensional Incompressible Navier--Stokes Equations
- Soft Matter Physics
- Analysis of a Darcy--Cahn--Hilliard Diffuse Interface Model for the Hele-Shaw Flow and Its Fully Discrete Finite Element Approximation
- Two-Phase Fluid Simulation Using a Diffuse Interface Model with Peng--Robinson Equation of State
- Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows
- A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities
- Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
- Fully Discrete Finite Element Approximations of the Navier--Stokes--Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows
- Efficient Numerical Solution of Cahn–Hilliard–Navier–Stokes Fluids in 2D
- On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes
- Quasi–incompressible Cahn–Hilliard fluids and topological transitions
- An Efficient, Energy Stable Scheme for the Cahn-Hilliard-Brinkman System
- Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation
- The Cahn–Hilliard equation with a concentration dependent mobility: motion by minus the Laplacian of the mean curvature
- Projection Method I: Convergence and Numerical Boundary Layers
- On the Cahn–Hilliard Equation with Degenerate Mobility
- On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
- Projection Method II: Godunov–Ryabenki Analysis
- Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model
- A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system
- A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model
- Optimal error estimates of a Crank–Nicolson finite element projection method for magnetohydrodynamic equations
- Error estimate of a decoupled numerical scheme for the Cahn–Hilliard–Stokes–Darcy system
- A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters
- Nonlinear elliptic boundary value problems
- ON A „MONOTONICITY” METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES
- A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation
- Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential
Related Items (6)
Convergence analysis of a second order numerical scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system ⋮ Energy-stable auxiliary variable viscosity splitting (AVVS) method for the incompressible Navier-Stokes equations and turbidity current system ⋮ Efficient finite element schemes for a phase field model of two-phase incompressible flows with different densities ⋮ Error estimates of time discretizations for a Cahn-Hilliard phase-field model for the two-phase magnetohydrodynamic flows ⋮ An efficient unconditional energy-stable finite element method for the electro-hydrodynamic equations ⋮ Dynamically regularized Lagrange multiplier schemes with energy dissipation for the incompressible Navier-Stokes equations
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