A positivity preserving, energy stable finite difference scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system
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Publication:2149514
DOI10.1007/s10915-022-01872-1OpenAlexW4283072868MaRDI QIDQ2149514
Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang
Publication date: 29 June 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-022-01872-1
energy stabilitypositivity preservingnumerical accuracymonotonicity analysisCahn-Hilliard-Navier-Stokes systemFlory-Huggins energy potential
Variational inequalities (49J40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) 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) Numerical analysis (65-XX)
Related Items (4)
Optimal rate convergence analysis of a numerical scheme for the ternary Cahn-Hilliard system with a Flory-Huggins-deGennes energy potential ⋮ Convergence of a Decoupled Splitting Scheme for the Cahn–Hilliard–Navier–Stokes System ⋮ Energy dissipative and positivity preserving schemes for large-convection ion transport with steric and solvation effects ⋮ A maximum bound principle preserving iteration technique for a class of semilinear parabolic equations
Cites Work
- A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
- Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw 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
- 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 positive and energy stable numerical scheme for the Poisson-Nernst-Planck-Cahn-Hilliard equations with steric interactions
- A second-order accurate, energy stable numerical scheme for the one-dimensional porous medium equation by an energetic variational approach
- A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters
- 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 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 decoupled unconditionally stable numerical scheme for the Cahn-Hilliard-Hele-Shaw system
- A fourth-order numerical method for the planetary geostrophic equations with inviscid geostrophic balance
- 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
- Decoupled energy-law preserving numerical schemes for the Cahn-Hilliard-Darcy system
- Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation
- Soft Matter Physics
- Analysis of a Darcy--Cahn--Hilliard Diffuse Interface Model for the Hele-Shaw Flow and Its Fully Discrete Finite Element Approximation
- 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
- Stability of the Semi-Implicit Method for the Cahn-Hilliard Equation with Logarithmic Potentials
- 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
- Quasi–incompressible Cahn–Hilliard fluids and topological transitions
- Surface Pressure Poisson Equation Formulation of the Primitive Equations: Numerical Schemes
- Convergence of gauge method for incompressible flow
- A second‐order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection
- The Cahn–Hilliard equation with a concentration dependent mobility: motion by minus the Laplacian of the mean curvature
- On the Cahn–Hilliard Equation with Degenerate Mobility
- 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
- Error estimate of a decoupled numerical scheme for the Cahn–Hilliard–Stokes–Darcy system
- Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn–Hilliard equation
- Convergence Analysis of a Numerical Scheme for the Porous Medium Equation by an Energetic Variational Approach
- An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
- 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
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