A unified framework of the SAV-ZEC method for a mass-conserved Allen-Cahn type two-phase ferrofluid flow model

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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)

Cites Work

Unnamed Item
Unnamed Item
Steady state solutions of ferrofluid flow models
Level set method for two-phase incompressible flows under magnetic fields
Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows
A conservative phase field method for solving incompressible two-phase flows
Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method
Finite element approximation of a Cahn-Hilliard-Navier-Stokes system
Strong solutions to the equations of a ferrofluid flow model
Global weak solutions to equations of motion for magnetic fluids
A conservative Allen-Cahn equation with a space-time dependent Lagrange multiplier
Conservative Allen-Cahn-Navier-Stokes system for incompressible two-phase fluid flows
The scalar auxiliary variable (SAV) approach for gradient flows
A novel fully-decoupled, second-order and energy stable numerical scheme of the conserved Allen-Cahn type flow-coupled binary surfactant model
A fully-discrete decoupled finite element method for the conserved Allen-Cahn type phase-field model of three-phase fluid flow system
A novel fully-decoupled, second-order time-accurate, unconditionally energy stable scheme for a flow-coupled volume-conserved phase-field elastic bending energy model
A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations
Numerical approximations of flow coupled binary phase field crystal system: fully discrete finite element scheme with second-order temporal accuracy and decoupling structure
Deformation and coalescence of ferrodroplets in Rosensweig model using the phase field and modified level set approaches under uniform magnetic fields
Well-posedness of axisymmetric nonlinear surface waves on a ferrofluid jet
Convergence analysis for the invariant energy quadratization (IEQ) schemes for solving the Cahn-Hilliard and Allen-Cahn equations with general nonlinear potential
A diffuse interface model for two-phase ferrofluid flows
An overview of projection methods for incompressible flows
On the global well-posedness of a class of 2D solutions for the Rosensweig system of ferrofluids
A simplified phase-field lattice Boltzmann method with a self-corrected magnetic field for the evolution of spike structures in ferrofluids
Compressible Navier-Stokes Equations
Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows
Deformation of a hydrophobic ferrofluid droplet suspended in a viscous medium under uniform magnetic fields
Bifurcating Instability of the Free Surface of a Ferrofluid
The surface topography of a magnetic fluid: a quantitative comparison between experiment and numerical simulation
Analysis of finite element approximations of a phase field model for two-phase fluids
Nonlocal reaction—diffusion equations and nucleation
Efficient Energy Stable Schemes with Spectral Discretization in Space for Anisotropic Cahn-Hilliard Systems
Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
Dynamics of ferrofluid drop deformations under spatially uniform magnetic fields
On a Novel Fully Decoupled, Second-Order Accurate Energy Stable Numerical Scheme for a Binary Fluid-Surfactant Phase-Field Model
A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
On the Dynamics of Ferrofluids: Global Weak Solutions to the Rosensweig System and Rigorous Convergence to Equilibrium
Decoupled Energy Stable Schemes for Phase-Field Models of Two-Phase Complex Fluids
The Mathematical Theory of Finite Element Methods
The interfacial stability of a ferromagnetic fluid
Decoupled, Linear, and Unconditionally Energy Stable Fully Discrete Finite Element Numerical Scheme for a Two-Phase Ferrohydrodynamics Model
Reformulated Weak Formulation and Efficient Fully Discrete Finite Element Method for a Two-Phase Ferrohydrodynamics Shliomis Model

This page was built for publication: A unified framework of the SAV-ZEC method for a mass-conserved Allen-Cahn type two-phase ferrofluid flow model