DOI10.1137/140971154zbMath1327.65178OpenAlexW2078273688MaRDI QIDQ2946207
Xiao-Feng Yang, Jie Shen
Publication date: 16 September 2015
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/43245d0f127dbfd1447cce0a7433d609880fcc48
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 ⋮
A fully-decoupled discontinuous Galerkin approximation of the Cahn–Hilliard–Brinkman–Ohta–Kawasaki tumor growth model ⋮
Linearly Decoupled Energy-Stable Numerical Methods for Multicomponent Two-Phase Compressible Flow ⋮
On fully decoupled MSAV schemes for the Cahn–Hilliard–Navier–Stokes model of two-phase incompressible flows ⋮
Efficient Second Order Unconditionally Stable Schemes for a Phase Field Moving Contact Line Model Using an Invariant Energy Quadratization Approach ⋮
Diffuse-interface two-phase flow models with different densities: A new quasi-incompressible form and a linear energy-stable method ⋮
A decoupled and iterative finite element method for generalized Boussinesq equations ⋮
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 ⋮
Efficient numerical scheme for a new hydrodynamically-coupled conserved Allen-Cahn type Ohta-Kawaski phase-field model for diblock copolymer melt ⋮
Optimal \(\boldsymbol{{L^2}}\) Error Estimates of Unconditionally Stable Finite Element Schemes for the Cahn–Hilliard–Navier–Stokes System ⋮
A fully-coupled framework for solving Cahn-Hilliard Navier-Stokes equations: second-order, energy-stable numerical methods on adaptive octree based meshes ⋮
Fully decoupled energy-stable numerical schemes for two-phase coupled porous media and free flow with different densities and viscosities ⋮
Convergence analysis of a temporally second-order accurate finite element scheme for the Cahn-Hilliard-magnetohydrodynamics system of equations ⋮
Unconditionally energy-stable discontinuous Galerkin method for the chemo-repulsion-Navier-Stokes system ⋮
Conservative unconditionally stable decoupled numerical schemes for the <scp>Cahn–Hilliard–Navier–Stokes–Darcy–Boussinesq</scp> system ⋮
Convergence of a Decoupled Splitting Scheme for the Cahn–Hilliard–Navier–Stokes System ⋮
An efficient and physically consistent numerical method for the Maxwell–Stefan–Darcy model of two‐phase flow in porous media ⋮
A fully decoupled numerical method for Cahn-Hilliard-Navier-Stokes-Darcy equations based on auxiliary variable approaches ⋮
Thermodynamically consistent hydrodynamic phase-field computational modeling for fluid-structure interaction with moving contact lines ⋮
Decoupled, linear, unconditionally energy stable and charge-conservative finite element method for an inductionless magnetohydrodynamic phase-field model ⋮
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 ⋮
Reformulated Weak Formulation and Efficient Fully Discrete Finite Element Method for a Two-Phase Ferrohydrodynamics Shliomis Model ⋮
An energy stable immersed boundary method for deformable membrane problem with non-uniform density and viscosity ⋮
An efficient dimension splitting p-adaptive method for the binary fluid surfactant phase field model ⋮
A decoupled finite element scheme for simulating the dynamics of red blood cells in an L-shaped cavity ⋮
On a novel fully-decoupled, linear and second-order accurate numerical scheme for the Cahn-Hilliard-Darcy system of two-phase Hele-Shaw flow ⋮
Second Order, Linear, and Unconditionally Energy Stable Schemes for a Hydrodynamic Model of Smectic-A Liquid Crystals ⋮
A projection-based, semi-implicit time-stepping approach for the Cahn-Hilliard Navier-Stokes equations on adaptive octree meshes ⋮
Numerical simulation for the conserved Allen-Cahn phase field model of two-phase incompressible flows by an efficient dimension splitting method ⋮
Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the unsteady thermally coupled magnetohydrodynamic equations with variable density ⋮
Nonconforming mixed finite element method for the diffuse interface model of two-phase fluid flows ⋮
Derivation and simulation of a two-phase fluid deformable surface model ⋮
Convergent finite element based discretization of a stochastic two‐phase flow model ⋮
Decoupled, energy stable schemes for a phase-field surfactant model ⋮
Error analysis of fully discrete scheme for the Cahn-Hilliard-magneto-hydrodynamics problem ⋮
Efficient linear schemes for the nonlocal Cahn-Hilliard equation of phase field models ⋮
An adaptive discontinuous finite volume element method for the Allen-Cahn equation ⋮
Analysis of a linearized energy stable numerical scheme for a modified incompressible Cahn-Hilliard-Navier-Stokes system ⋮
A Hessian Recovery Based Linear Finite Element Method for Molecular Beam Epitaxy Growth Model with Slope Selection ⋮
The subdivision-based IGA-EIEQ numerical scheme for the Cahn-Hilliard-Darcy system of two-phase Hele-Shaw flow on complex curved surfaces ⋮
An improved phase-field algorithm for simulating the impact of a drop on a substrate in the presence of surfactants ⋮
Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn--Hilliard--Navier--Stokes--Darcy Phase Field Model ⋮
Efficient second-order, linear, decoupled and unconditionally energy stable schemes of the Cahn-Hilliard-Darcy equations for the Hele-Shaw flow ⋮
Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method ⋮
Unnamed Item ⋮
Second Order Fully Discrete Energy Stable Methods on Staggered Grids for Hydrodynamic Phase Field Models of Binary Viscous Fluids ⋮
Thermodynamically consistent phase-field modelling of contact angle hysteresis ⋮
Numerical Approximations for Allen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines ⋮
A Comparison of Fourier Spectral Iterative Perturbation Method and Finite Element Method in Solving Phase-Field Equilibrium Equations ⋮
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 ⋮
A New Multi-Component Diffuse Interface Model with Peng-Robinson Equation of State and its Scalar Auxiliary Variable (SAV) Approach ⋮
A Decoupled Energy Stable Adaptive Finite Element Method for Cahn–Hilliard–Navier–Stokes Equations ⋮
Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model ⋮
A Posteriori Error Estimation and Adaptivity for Nonlinear Parabolic Equations using IMEX-Galerkin Discretization of Primal and Dual Equations ⋮
A Novel Energy Factorization Approach for the Diffuse-Interface Model with Peng--Robinson Equation of State ⋮
Decoupled energy-law preserving numerical schemes for the Cahn-Hilliard-Darcy system ⋮
On a SAV-MAC scheme for the Cahn–Hilliard–Navier–Stokes phase-field model and its error analysis for the corresponding Cahn–Hilliard–Stokes case ⋮
Thermodynamically consistent modelling of two-phase flows with moving contact line and soluble surfactants ⋮
On a Novel Fully Decoupled, Second-Order Accurate Energy Stable Numerical Scheme for a Binary Fluid-Surfactant Phase-Field Model ⋮
The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems ⋮
Decoupled, Linear, and Unconditionally Energy Stable Fully Discrete Finite Element Numerical Scheme for a Two-Phase Ferrohydrodynamics Model ⋮
A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation ⋮
Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes/Cahn-Hilliard system ⋮
A novel second-order linear scheme for the Cahn-Hilliard-Navier-Stokes equations ⋮
Energy stable finite element method for an electrohydrodynamic model with variable density ⋮
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 ⋮
Consistent and conservative scheme for incompressible two-phase flows using the conservative Allen-Cahn model ⋮
A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow ⋮
A novel fully-decoupled, second-order time-accurate, unconditionally energy stable scheme for a flow-coupled volume-conserved phase-field elastic bending energy model ⋮
Linear and fully decoupled scheme for a hydrodynamics coupled phase-field surfactant system based on a multiple auxiliary variables approach ⋮
Unconditionally stable numerical methods for Cahn-Hilliard-Navier-Stokes-Darcy system with different densities and viscosities ⋮
A second-order time accurate and fully-decoupled numerical scheme of the Darcy-Newtonian-nematic model for two-phase complex fluids confined in the Hele-Shaw cell ⋮
An energy stable linear numerical method for thermodynamically consistent modeling of two-phase incompressible flow in porous media ⋮
A second order in time, decoupled, unconditionally stable numerical scheme for the Cahn-Hilliard-Darcy system ⋮
Convergence analysis of an unconditionally energy stable projection scheme for magneto-hydrodynamic equations ⋮
A new energy stable fractional time stepping scheme for the Navier-Stokes/Allen-Cahn diffuse interface model ⋮
Decoupled energy stable schemes for phase-field vesicle membrane model ⋮
Numerical approximations for a smectic-A liquid crystal flow model: first-order, linear, decoupled and energy stable schemes ⋮
Fully-decoupled, energy stable second-order time-accurate and finite element numerical scheme of the binary immiscible nematic-Newtonian model ⋮
Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method ⋮
A positivity preserving, energy stable finite difference scheme for the Flory-Huggins-Cahn-Hilliard-Navier-Stokes system ⋮
On novel linear schemes for the Cahn-Hilliard equation based on an improved invariant energy quadratization approach ⋮
A provably efficient monotonic-decreasing algorithm for shape optimization in Stokes flows by phase-field approaches ⋮
Numerical approximations of flow coupled binary phase field crystal system: fully discrete finite element scheme with second-order temporal accuracy and decoupling structure ⋮
A decoupled unconditionally stable numerical scheme for the Cahn-Hilliard-Hele-Shaw system ⋮
An unconditionally energy-stable linear Crank-Nicolson scheme for the Swift-Hohenberg equation ⋮
Efficient, second oder accurate, and unconditionally energy stable numerical scheme for a new hydrodynamics coupled binary phase-field surfactant system ⋮
A linear unconditionally stable scheme for the incompressible Cahn-Hilliard-Navier-Stokes phase-field model ⋮
Uniquely solvable and energy stable decoupled numerical schemes for the Cahn-Hilliard-Stokes-Darcy system for two-phase flows in karstic geometry ⋮
Error estimates for the scalar auxiliary variable (SAV) schemes to the viscous Cahn-Hilliard equation with hyperbolic relaxation ⋮
A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows ⋮
Unconditionally energy stable schemes for an electrohydrodynamic model of charge transport in dielectric liquids ⋮
Efficient fully decoupled and second-order time-accurate scheme for the Navier-Stokes coupled Cahn-Hilliard Ohta-Kawaski phase-field model of diblock copolymer melt ⋮
New efficient time-stepping schemes for the anisotropic phase-field dendritic crystal growth model ⋮
Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system ⋮
A parallel finite element method for 3D two-phase moving contact line problems in complex domains ⋮
Fully discrete energy stable scheme for a phase-field moving contact line model with variable densities and viscosities
This page was built for publication: Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows