Highly efficient and energy stable schemes for the 2D/3D diffuse interface model of two-phase magnetohydrodynamics
type: Item
instance of: scholarly article
title: Highly efficient and energy stable schemes for the 2D/3D diffuse interface model of two-phase magnetohydrodynamics
author: Haiyan Su
author: Guo-Dong Zhang
published in: Journal of Scientific Computing
publication date: 2022-01-10T00:00:00Z
Mathematics Subject Classification ID: 65Mxx
Mathematics Subject Classification ID: 76Mxx
Mathematics Subject Classification ID: 76Wxx
zbMATH DE Number: 7454946
zbMATH Keywords: two-phase MHD
zbMATH Keywords: decoupled schemes
zbMATH Keywords: energy stability
zbMATH Keywords: numerical simulations
MaRDI profile type: Publication
full work available at URL: s10915-021-01741-3
OpenAlex ID: W4200563932
cites work: Mixed finite element methods for stationary incompressible magneto-hydrodynamics
cites work: A two-level Newton, finite element algorithm for approximating electrically conducting incompressible fluid flows
cites work: A two-level discretization method for the stationary MHD equations
cites work: Stable discretization of magnetohydrodynamics in bounded domains
cites work: A robust solver for the finite element approximation of stationary incompressible MHD equations in 3D
cites work: Two-level coupled and decoupled parallel correction methods for stationary incompressible magnetohydrodynamics
cites work: Decoupled schemes for unsteady MHD equations. II: Finite element spatial discretization and numerical implementation
cites work: Decoupled schemes for unsteady MHD equations. I. time discretization
cites work: A decoupled, linear and unconditionally energy stable scheme with finite element discretizations for magneto-hydrodynamic equations
cites work: Iterative methods in penalty finite element discretization for the steady MHD equations
cites work: Two-level penalty Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics equations
cites work: Level set method for two-phase incompressible flows under magnetic fields
cites work: Translation of J. D. van der Waals' ``The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density''
cites work: DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
cites work: TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
cites work: Calculation of two-phase Navier-Stokes flows using phase-field modeling
cites work: A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
cites work: Quasi–incompressible Cahn–Hilliard fluids and topological transitions
cites work: A diffuse-interface method for simulating two-phase flows of complex fluids
cites work: A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows
cites work: Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
cites work: A semi-implicit energy conserving finite element method for the dynamical incompressible magnetohydrodynamics equations
cites work: A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
cites work: A mixed DG method for linearized incompressible magnetohydrodynamics
cites work: Efficient splitting schemes for magneto-hydrodynamic equations
cites work: Convergence analysis of an unconditionally energy stable projection scheme for magneto-hydrodynamic equations
cites work: An overview of projection methods for incompressible flows
cites work: Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows
cites work: Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
cites work: Error analysis of stabilized semi-implicit method of Allen-Cahn equation
cites work: Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
cites work: Efficient numerical scheme for a dendritic solidification phase field model with melt convection
cites work: Fast, provably unconditionally energy stable, and second-order accurate algorithms for the anisotropic Cahn-Hilliard model
cites work: Second Order, Linear, and Unconditionally Energy Stable Schemes for a Hydrodynamic Model of Smectic-A Liquid Crystals
cites work: Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
cites work: Efficient linear, stabilized, second-order time marching schemes for an anisotropic phase field dendritic crystal growth model
cites work: Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model
cites work: Efficient Second Order Unconditionally Stable Schemes for a Phase Field Moving Contact Line Model Using an Invariant Energy Quadratization Approach
cites work: Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method
cites work: Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method
cites work: Convergence analysis for the invariant energy quadratization (IEQ) schemes for solving the Cahn-Hilliard and Allen-Cahn equations with general nonlinear potential
cites work: Nonparabolic dissipative systems modeling the flow of liquid crystals
cites work: A diffuse interface model for two-phase ferrofluid flows
cites work: Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows
cites work: Navier-Stokes equations. Theory and numerical analysis. Repr. with corr
cites work: Finite element approximation of a Cahn-Hilliard-Navier-Stokes system
cites work: An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system
cites work: A theoretical and numerical model for the study of incompressible mixture flows
DOI: 10.1007/S10915-021-01741-3
description: scientific article; zbMATH DE number 7454946