Numerical schemes for a three component Cahn-Hilliard model
From MaRDI portal
Publication:2839131
DOI10.1051/m2an/2010072zbMath1267.76127OpenAlexW2103674414MaRDI QIDQ2839131
Franck Boyer, Sebastian Minjeaud
Publication date: 4 July 2013
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2010072
Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Three or more component flows (76T30)
Related Items
Fully-discrete finite element numerical scheme with decoupling structure and energy stability for the Cahn–Hilliard phase-field model of two-phase incompressible flow system with variable density and viscosity ⋮ Efficient and energy stable scheme for the hydrodynamically coupled three components Cahn-Hilliard phase-field model using the stabilized-invariant energy quadratization (S-IEQ) approach ⋮ A practical numerical scheme for the ternary Cahn-Hilliard system with a logarithmic free energy ⋮ A conservative level set method for \(N\)-phase flows with a free-energy-based surface tension model ⋮ A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters ⋮ An energy stable linear numerical method for thermodynamically consistent modeling of two-phase incompressible flow in porous media ⋮ Decoupled energy stable schemes for phase-field vesicle membrane model ⋮ Unconditionally energy stable time stepping scheme for Cahn-Morral equation: application to multi-component spinodal decomposition and optimal space tiling ⋮ A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids ⋮ Improving the accuracy of convexity splitting methods for gradient flow equations ⋮ Efficient numerical solution of discrete multi-component Cahn-Hilliard systems ⋮ Finite-volume method for the Cahn-Hilliard equation with dynamic boundary conditions ⋮ Numerical methods for solving the Cahn-Hilliard equation and its applicability to related energy-based models ⋮ Optimal rate convergence analysis of a numerical scheme for the ternary Cahn-Hilliard system with a Flory-Huggins-deGennes energy potential ⋮ An efficient algorithm for incompressible \(N\)-phase flows ⋮ 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 ⋮ Nonlocal operator method for the Cahn-Hilliard phase field model ⋮ Hierarchy of consistent n-component Cahn–Hilliard systems ⋮ Unconditionally energy stable large time stepping method for the \(L^2\)-gradient flow based ternary phase-field model with precise nonlocal volume conservation ⋮ Multi-component chemo-mechanics based on transport relations for the chemical potential ⋮ On some practical issues concerning the implementation of Cahn-Hilliard-Navier-Stokes type models ⋮ Error analysis of a decoupled, linear stabilization scheme for the Cahn-Hilliard model of two-phase incompressible flows ⋮ Gradient Flows for Coupling Order Parameters and Mechanics ⋮ Efficient and accurate numerical schemes for a hydro-dynamically coupled phase field diblock copolymer model ⋮ An efficient and physically consistent numerical method for the Maxwell–Stefan–Darcy model of two‐phase flow in porous media ⋮ A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system ⋮ Thermodynamically consistent hydrodynamic phase-field computational modeling for fluid-structure interaction with moving contact lines ⋮ High-order supplementary variable methods for thermodynamically consistent partial differential equations ⋮ 2D/3D fully decoupled, unconditionally energy stable rotational velocity projection method for incompressible MHD system ⋮ Fully discrete, decoupled and energy-stable Fourier-spectral numerical scheme for the nonlocal Cahn-Hilliard equation coupled with Navier-Stokes/Darcy flow regime of two-phase incompressible flows ⋮ A decoupled finite element scheme for simulating the dynamics of red blood cells in an L-shaped cavity ⋮ Wall-bounded multiphase flows of \(N\) immiscible incompressible fluids: consistency and contact-angle boundary condition ⋮ Multiphase Allen-Cahn and Cahn-Hilliard models and their discretizations with the effect of pairwise surface tensions ⋮ Stability and error estimates of Strang splitting method for the nonlocal ternary conservative Allen-Cahn model ⋮ A Physics-Informed Structure-Preserving Numerical Scheme for the Phase-Field Hydrodynamic Model of Ternary Fluid Flows ⋮ Efficient linear schemes for the nonlocal Cahn-Hilliard equation of phase field models ⋮ A BDF2 energy‐stable scheme for the binary fluid‐surfactant hydrodynamic model ⋮ A linear, second-order, energy stable, fully adaptive finite element method for phase-field modelling of wetting phenomena ⋮ Energy dissipation and maximum bound principle preserving scheme for solving a nonlocal ternary Allen-Cahn model ⋮ A Componentwise Convex Splitting Scheme for Diffuse Interface Models with Van der Waals and Peng--Robinson Equations of State ⋮ A new phase field method for the simulation of wetting on rough surfaces ⋮ Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method ⋮ Remarks on continuum theory of mixtures: editorial to special issue on mixture theory ⋮ A finite volume/discontinuous Galerkin method for the advective Cahn-Hilliard equation with degenerate mobility on porous domains stemming from micro-CT imaging ⋮ The Cahn-Hilliard equation with logarithmic potentials ⋮ 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 ⋮ Decoupled, non-iterative, and unconditionally energy stable large time stepping method for the three-phase Cahn-Hilliard phase-field model ⋮ Simulation of the phase field Cahn-Hilliard and tumor growth models via a numerical scheme: element-free Galerkin method ⋮ An unconditionally stable uncoupled scheme for a triphasic Cahn–Hilliard/Navier–Stokes model ⋮ Numerical Approximations for Allen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines ⋮ A discontinuous Galerkin approximation for a wall-bounded consistent three-component Cahn-Hilliard flow model ⋮ New efficient time-stepping schemes for the Navier-Stokes-Cahn-Hilliard equations ⋮ Fully Decoupled, Linear and Unconditionally Energy Stable Schemes for the Binary Fluid-Surfactant Model ⋮ Efficient, second-order in time, and energy stable scheme for a new hydrodynamically coupled three components volume-conserved Allen–Cahn phase-field model ⋮ Comparison between two meshless methods based on collocation technique for the numerical solution of four-species tumor growth model ⋮ Modeling and simulation of dynamics of three-component flows on solid surface ⋮ 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 ⋮ Linear energy stable and maximum principle preserving semi-implicit scheme for Allen-Cahn equation with double well potential ⋮ An efficient numerical method for simulating multiphase flows using a diffuse interface model ⋮ An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels ⋮ Long time \(\mathcal{H}_\alpha^s\) stability of a classical scheme for Cahn-Hilliard equation with polynomial nonlinearity ⋮ Generalized SAV approaches for gradient systems ⋮ Simulation of sharp interface multi-material flows involving an arbitrary number of components through an extended five-equation model ⋮ Buoyancy-driven mixing of multi-component fluids in two-dimensional tilted channels ⋮ Physical formulation and numerical algorithm for simulating \(N\) immiscible incompressible fluids involving general order parameters ⋮ Diffuse interface simulation of ternary fluids in contact with solid ⋮ Stabilized energy factorization approach for Allen-Cahn equation with logarithmic Flory-Huggins potential ⋮ Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the magneto-hydrodynamic equations ⋮ Numerical study of the ternary Cahn-Hilliard fluids by using an efficient modified scalar auxiliary variable approach ⋮ Unconditionally stable, second-order accurate schemes for solid state phase transformations driven by mechano-chemical spinodal decomposition ⋮ 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 ⋮ Efficient energy-stable schemes for the hydrodynamics coupled phase-field model ⋮ Modeling and Simulation of a Ternary System for Macromolecular Microsphere Composite Hydrogels ⋮ A fully-discrete decoupled finite element method for the conserved Allen-Cahn type phase-field model of three-phase fluid flow system ⋮ Mathematical modeling and computational simulation of phase separation in ternary mixtures ⋮ Error analysis of a decoupled, linear and stable finite element method for Cahn-Hilliard-Navier-Stokes equations ⋮ The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems ⋮ Efficient linear, fully-decoupled and energy stable numerical scheme for a variable density and viscosity, volume-conserved, hydrodynamically coupled phase-field elastic bending energy model of lipid vesicles ⋮ Energy stable numerical schemes for ternary Cahn-Hilliard system ⋮ The Cahn-Hilliard equation and some of its variants ⋮ An efficient time-dependent auxiliary variable approach for the three-phase conservative Allen-Cahn fluids ⋮ Decoupled, Linear, and Unconditionally Energy Stable Fully Discrete Finite Element Numerical Scheme for a Two-Phase Ferrohydrodynamics Model ⋮ Highly efficient and unconditionally energy stable semi-discrete time-marching numerical scheme for the two-phase incompressible flow phase-field system with variable-density and viscosity ⋮ Decoupled energy stable schemes for a phase field model of three-phase incompressible viscous fluid flow