DOI10.1016/j.cma.2020.113502zbMath1506.65173OpenAlexW3106398254MaRDI QIDQ2020815
Xiao-Feng Yang
Publication date: 26 April 2021
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2020.113502
A New Conservative Allen-Cahn Type Ohta-Kawaski Phase-Field Model for Diblock Copolymers and Its Numerical Approximations ⋮
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 novel second-order time accurate fully discrete finite element scheme with decoupling structure for the hydrodynamically-coupled phase field crystal model ⋮
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 ⋮
An efficiently linear and totally decoupled variant of SAV approach for the binary phase-field surfactant fluid 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 ⋮
A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations ⋮
A new energy stable fractional time stepping scheme for the Navier-Stokes/Allen-Cahn diffuse interface model ⋮
Unconditionally energy stable and bound-preserving schemes for phase-field surfactant model with moving contact lines ⋮
Fully-discrete, decoupled, second-order time-accurate and energy stable finite element numerical scheme of the Cahn-Hilliard binary surfactant model confined in the Hele-Shaw cell ⋮
Optimal rate convergence analysis of a numerical scheme for the ternary Cahn-Hilliard system with a Flory-Huggins-deGennes energy potential ⋮
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 ⋮
A general framework to derive linear, decoupled and energy-stable schemes for reversible-irreversible thermodynamically consistent models ⋮
A decoupled and iterative finite element method for generalized Boussinesq equations ⋮
A highly efficient variant of scalar auxiliary variable (SAV) approach for the phase-field fluid-surfactant model ⋮
Decoupled second-order energy stable scheme for an electrohydrodynamic model with variable electrical conductivity ⋮
Conservative unconditionally stable decoupled numerical schemes for the <scp>Cahn–Hilliard–Navier–Stokes–Darcy–Boussinesq</scp> system ⋮
A fully decoupled numerical method for Cahn-Hilliard-Navier-Stokes-Darcy equations based on auxiliary variable approaches ⋮
Three decoupled, second-order accurate, and energy stable schemes for the conserved Allen-Cahn-type block copolymer (BCP) model ⋮
Second order, unconditionally stable, linear ensemble algorithms for the magnetohydrodynamics equations ⋮
A new Lagrange multiplier method for the mass-conserved Allen-Cahn type square phase-field crystal model ⋮
On a novel fully-decoupled, linear and second-order accurate numerical scheme for the Cahn-Hilliard-Darcy system of two-phase Hele-Shaw flow ⋮
Efficient fully discrete spectral-Galerkin scheme for the volume-conserved multi-vesicular phase-field model of lipid vesicles with adhesion potential ⋮
Linearly implicit and high-order energy-preserving relaxation schemes for highly oscillatory Hamiltonian systems ⋮
A linear, second-order accurate, positivity-preserving and unconditionally energy stable scheme for the Navier-Stokes-Poisson-Nernst-Planck system ⋮
Numerical simulation for the conserved Allen-Cahn phase field model of two-phase incompressible flows by an efficient dimension splitting method ⋮
Stability and error analysis of the SAV schemes for the inductionless MHD equations ⋮
Surface phase-field surfactant fluid model and its practical closest point type finite difference computation ⋮
The subdivision-based IGA-EIEQ numerical scheme for the binary surfactant Cahn-Hilliard phase-field model on complex curved surfaces ⋮
A fully discrete decoupled finite element method for the thermally coupled incompressible magnetohydrodynamic problem ⋮
Phase-field modeling and consistent energy-stable simulation of binary creeping flows in contact with solid ⋮
Linear, second-order, unconditionally energy stable scheme for an electrohydrodynamic model with variable density and conductivity ⋮
An improved phase-field algorithm for simulating the impact of a drop on a substrate in the presence of surfactants ⋮
Highly efficient and stable numerical algorithm for a two-component phase-field crystal model for binary alloys ⋮
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Second order fully decoupled and unconditionally energy-stable finite element algorithm for the incompressible MHD equations ⋮
A linear second-order in time unconditionally energy stable finite element scheme for a Cahn-Hilliard phase-field model for two-phase incompressible flow of variable densities ⋮
Efficient, second-order in time, and energy stable scheme for a new hydrodynamically coupled three components volume-conserved Allen–Cahn phase-field model ⋮
A novel decoupled second-order time marching scheme for the two-phase incompressible Navier-Stokes/Darcy coupled nonlocal Allen-Cahn model ⋮
A new efficient fully-decoupled and second-order time-accurate scheme for Cahn-Hilliard phase-field model of three-phase incompressible flow ⋮
Second-order accurate and energy stable numerical scheme for an immiscible binary mixture of nematic liquid crystals and viscous fluids with strong anchoring potentials ⋮
Efficient decoupled second-order numerical scheme for the flow-coupled Cahn-Hilliard phase-field model of two-phase flows ⋮
Modeling and numerical simulation of surfactant systems with incompressible fluid flows on surfaces ⋮
A novel fully-decoupled, linear, and unconditionally energy-stable scheme of the conserved Allen-Cahn phase-field model of a two-phase incompressible flow system with variable density and viscosity ⋮
Fully-discrete Spectral-Galerkin scheme with second-order time-accuracy and unconditionally energy stability for the volume-conserved phase-field lipid vesicle model ⋮
Decoupled, second-order accurate in time and unconditionally energy stable scheme for a hydrodynamically coupled ternary Cahn-Hilliard phase-field model of triblock copolymer melts ⋮
Decoupled finite element scheme of the variable-density and viscosity phase-field model of a two-phase incompressible fluid flow system using the volume-conserved Allen-Cahn dynamics ⋮
Fully-discrete spectral-Galerkin numerical scheme with second-order time accuracy and unconditional energy stability for the anisotropic Cahn-Hilliard model ⋮
Fully discrete spectral-Galerkin scheme for a ternary Allen-Cahn type mass-conserved Nakazawa-Ohta phase-field model for triblock copolymers ⋮
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
- Unnamed Item
- Analysis of improved Lattice Boltzmann phase field method for soluble surfactants
- A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
- Simulating binary fluid-surfactant dynamics by a phase field model
- Phase-field modeling droplet dynamics with soluble surfactants
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
- Surfactants in foam stability: a phase-field model
- A splitting method for incompressible flows with variable density based on a pressure Poisson equation
- Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
- Numerical approximations for a phase-field moving contact line model with variable densities and viscosities
- The scalar auxiliary variable (SAV) approach for gradient flows
- Numerical approximations for the Cahn-Hilliard phase field model of the binary fluid-surfactant system
- Fast, provably unconditionally energy stable, and second-order accurate algorithms for the anisotropic Cahn-Hilliard model
- Efficient numerical scheme for a dendritic solidification phase field model with melt convection
- 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
- Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model
- An overview of projection methods for incompressible flows
- Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density
- Isogeometric analysis of the Cahn-Hilliard phase-field model
- Efficient, second oder accurate, and unconditionally energy stable numerical scheme for a new hydrodynamics coupled binary phase-field surfactant system
- Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
- 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
- Thermodynamically consistent time-stepping algorithms for non-linear thermomechanical systems
- Experimental investigation of the effects of copolymer surfactants on flow-induced coalescence of drops
- Drop deformation, breakup, and coalescence with compatibilizer
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- Numerical Analysis of a Continuum Model of Phase Transition
- Efficient Second Order Unconditionally Stable Schemes for a Phase Field Moving Contact Line Model Using an Invariant Energy Quadratization Approach
- On the error estimates for the rotational pressure-correction projection methods
- Projection Method I: Convergence and Numerical Boundary Layers
- An unconditionally stable uncoupled scheme for a triphasic Cahn–Hilliard/Navier–Stokes model
- Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method
- The Gauge--Uzawa Finite Element Method. Part I: The Navier--Stokes Equations
- A projection FEM for variable-density incompressible flows
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