Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows
From MaRDI portal
Publication:606381
DOI10.1007/s11401-010-0599-yzbMath1400.65049OpenAlexW2012778860MaRDI QIDQ606381
Publication date: 17 November 2010
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11401-010-0599-y
Nonlinear parabolic equations (35K55) Navier-Stokes equations for incompressible viscous fluids (76D05) Stefan problems, phase changes, etc. (80A22) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items
Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes/Cahn-Hilliard system ⋮ Positive and free energy satisfying schemes for diffusion with interaction potentials ⋮ Simulating two-phase flows with thermodynamically consistent energy stable Cahn-Hilliard Navier-Stokes equations on parallel adaptive octree based meshes ⋮ Strong solutions for the stochastic Cahn-Hilliard-Navier-Stokes system ⋮ Stabilized semi-implicit numerical schemes for the Cahn-Hilliard-like equation with variable interfacial parameter ⋮ Cahn-Hilliard-Navier-Stokes systems with moving contact lines ⋮ Convergence analysis of an unconditionally energy stable projection scheme for magneto-hydrodynamic equations ⋮ Decoupled energy stable schemes for phase-field vesicle membrane model ⋮ An entropy-stable p-adaptive nodal discontinuous Galerkin for the coupled Navier-Stokes/Cahn-Hilliard system ⋮ Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method ⋮ Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation ⋮ A decoupled unconditionally stable numerical scheme for the Cahn-Hilliard-Hele-Shaw system ⋮ High-order discontinuous Galerkin approximation for a three-phase incompressible Navier-Stokes/Cahn-Hilliard model ⋮ Unconditionally energy stable second-order numerical scheme for the Allen-Cahn equation with a high-order polynomial free energy ⋮ A linear unconditionally stable scheme for the incompressible Cahn-Hilliard-Navier-Stokes phase-field model ⋮ Error estimates for time discretizations of Cahn-Hilliard and Allen-Cahn phase-field models for two-phase incompressible flows ⋮ A second order linear energy stable numerical method for the Cahn-Hilliard-Hele-Shaw system ⋮ A time-stepping scheme involving constant coefficient matrices for phase-field simulations of two-phase incompressible flows with large density ratios ⋮ Fully discrete energy stable scheme for a phase-field moving contact line model with variable densities and viscosities ⋮ Unconditional stability and optimal error estimates of first order semi-implicit stabilized finite element method for two phase magnetohydrodynamic diffuse interface model ⋮ A phase field model for mass transport with semi-permeable interfaces ⋮ Fully decoupled pressure projection scheme for the numerical solution of diffuse interface model of two-phase flow ⋮ Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method ⋮ Numerical approximations for a phase-field moving contact line model with variable densities and viscosities ⋮ An outflow boundary condition and algorithm for incompressible two-phase flows with phase field approach ⋮ Error analysis of a decoupled, linear stabilization scheme for the Cahn-Hilliard model of two-phase incompressible flows ⋮ A fully-coupled framework for solving Cahn-Hilliard Navier-Stokes equations: second-order, energy-stable numerical methods on adaptive octree based meshes ⋮ Efficient and accurate numerical schemes for a hydro-dynamically coupled phase field diblock copolymer model ⋮ Gauge-Uzawa-based, highly efficient decoupled schemes for the diffuse interface model of two-phase magnetohydrodynamic ⋮ Global and trajectory attractors for a nonlocal Cahn-Hilliard-Navier-Stokes system ⋮ Efficient interior penalty discontinuous Galerkin projection method with unconditional energy stability and second-order temporal accuracy for the incompressible magneto-hydrodynamic system ⋮ Optimal error estimates of a SAV-FEM for the Cahn-Hilliard-Navier-Stokes model ⋮ A high-accuracy framework for phase-field fracture interface reconstructions with application to Stokes fluid-filled fracture surrounded by an elastic medium ⋮ A decoupled finite element scheme for simulating the dynamics of red blood cells in an L-shaped cavity ⋮ A projection-based, semi-implicit time-stepping approach for the Cahn-Hilliard Navier-Stokes equations on adaptive octree meshes ⋮ Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility ⋮ A splitting discontinuous Galerkin projection method for the magneto-hydrodynamic equations ⋮ Stability analysis of several time discrete schemes for Allen-Cahn and Cahn-Hilliard equations ⋮ Analysis of a linearized energy stable numerical scheme for a modified incompressible Cahn-Hilliard-Navier-Stokes system ⋮ Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn--Hilliard--Navier--Stokes--Darcy Phase Field Model ⋮ Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method ⋮ Global existence of weak solutions to a nonlocal Cahn-Hilliard-Navier-Stokes system ⋮ A novel linear, unconditional energy stable scheme for the incompressible Cahn-Hilliard-Navier-Stokes phase-field model ⋮ Hessian recovery based finite element methods for the Cahn-Hilliard equation ⋮ The Cahn-Hilliard equation with logarithmic potentials ⋮ Efficient, non-iterative, and decoupled numerical scheme for a new modified binary phase-field surfactant system ⋮ Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids ⋮ 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 ⋮ An energy stable \(C^0\) finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density ⋮ A non-iterative and unconditionally energy stable method for the Swift-Hohenberg equation with quadratic-cubic nonlinearity ⋮ Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows ⋮ On imposing dynamic contact-angle boundary conditions for wall-bounded liquid-gas flows ⋮ An unconditionally stable second-order linear scheme for the Cahn-Hilliard-Hele-Shaw system ⋮ Numerical approximations for the Cahn-Hilliard phase field model of the binary fluid-surfactant system ⋮ On the stability and accuracy of partially and fully implicit schemes for phase field modeling ⋮ A Comparison of Fourier Spectral Iterative Perturbation Method and Finite Element Method in Solving Phase-Field Equilibrium Equations ⋮ A discontinuous Galerkin approximation for a wall-bounded consistent three-component Cahn-Hilliard flow model ⋮ On Linear and Unconditionally Energy Stable Algorithms for Variable Mobility Cahn-Hilliard Type Equation with Logarithmic Flory-Huggins Potential ⋮ Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows ⋮ Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation<sup>†</sup> ⋮ A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters ⋮ A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations ⋮ A comprehensive SPH model for three-dimensional multiphase interface simulation ⋮ On the longtime behavior of a 2D hydrodynamic model for chemically reacting binary fluid mixtures ⋮ Analysis of the energy stability for stabilized semi-implicit schemes of the functionalized Cahn-Hilliard mass-conserving gradient flow equation ⋮ The stabilized penalty-projection finite element method for the Navier-Stokes-Cahn-Hilliard-Oono system ⋮ Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows ⋮ A two phase field model for tracking vesicle-vesicle adhesion ⋮ Efficient energy stable numerical schemes for a phase field moving contact line model ⋮ Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models ⋮ Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density ⋮ Splitting-up scheme for the stochastic Cahn–Hilliard Navier–Stokes model ⋮ Energy Decaying Phase-Field Model for Fluid-Particle Interaction in Two-Phase Flow ⋮ A diffuse interface model for two-phase ferrofluid flows ⋮ Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model ⋮ Numerical approximations to a new phase field model for two phase flows of complex fluids ⋮ Highly efficient and energy stable schemes for the 2D/3D diffuse interface model of two-phase magnetohydrodynamics ⋮ Uniqueness and Regularity for the Navier--Stokes--Cahn--Hilliard System ⋮ On the Cahn-Hilliard-Oono-Navier-Stokes equations with singular potentials ⋮ Global attractor of the Cahn-Hilliard-Navier-Stokes system with moving contact lines ⋮ A thermodynamically consistent model for two-phase incompressible flows with different densities. Derivation and efficient energy-stable numerical schemes ⋮ The Cahn-Hilliard equation and some of its variants ⋮ Semi-implicit, unconditionally energy stable, stabilized finite element method based on multiscale enrichment for the Cahn-Hilliard-Navier-Stokes phase-field model ⋮ Decoupled, Linear, and Unconditionally Energy Stable Fully Discrete Finite Element Numerical Scheme for a Two-Phase Ferrohydrodynamics Model ⋮ A DIFFUSE INTERFACE MODEL FOR ELECTROWETTING WITH MOVING CONTACT LINES ⋮ Decoupled energy stable schemes for a phase field model of three-phase incompressible viscous fluid flow
Cites Work
- Unnamed Item
- Unnamed Item
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Gauge-Uzawa methods for incompressible flows with variable density
- A splitting method for incompressible flows with variable density based on a pressure Poisson equation
- Calculation of two-phase Navier-Stokes flows using phase-field modeling
- A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
- An \(L^ \infty\) bound for solutions of the Cahn-Hilliard equation
- An overview of projection methods for incompressible flows
- An energy law preserving \(C^0\) finite element scheme for simulating the kinematic effects in liquid crystal dynamics
- Compactness Properties of the DG and CG Time Stepping Schemes for Parabolic Equations
- Spectral approximation of pattern-forming nonlinear evolution equations with double-well potentials of quadratic growth
- A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities
- Finite Element Approximations of the Ericksen–Leslie Model for Nematic Liquid Crystal Flow
- Analysis of finite element approximations of a phase field model for two-phase fluids
- Quasi–incompressible Cahn–Hilliard fluids and topological transitions
- Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
- A diffuse-interface method for simulating two-phase flows of complex fluids
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
- TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
- A posteriorierror control for the Allen–Cahn problem: circumventing Gronwall's inequality
- The Gauge--Uzawa Finite Element Method. Part I: The Navier--Stokes Equations
- A projection FEM for variable-density incompressible flows