A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations
From MaRDI portal
Publication:2134530
DOI10.1016/j.jcp.2021.110752OpenAlexW3206494080MaRDI QIDQ2134530
Xiao-Feng Yang, Xiaoming He, Guo-Dong Zhang
Publication date: 3 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110752
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Magnetohydrodynamics and electrohydrodynamics (76Wxx)
Related Items (29)
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 vector penalty-projection approach for the time-dependent incompressible magnetohydrodynamics flows ⋮ Optimal rate convergence analysis of a numerical scheme for the ternary Cahn-Hilliard system with a Flory-Huggins-deGennes energy potential ⋮ A decoupled and iterative finite element method for generalized Boussinesq equations ⋮ Convergence analysis of a temporally second-order accurate finite element scheme for the Cahn-Hilliard-magnetohydrodynamics system of equations ⋮ Decoupled second-order energy stable scheme for an electrohydrodynamic model with variable electrical conductivity ⋮ Efficient interior penalty discontinuous Galerkin projection method with unconditional energy stability and second-order temporal accuracy for the incompressible magneto-hydrodynamic system ⋮ A fully decoupled numerical method for Cahn-Hilliard-Navier-Stokes-Darcy equations based on auxiliary variable approaches ⋮ Unconditional stability and error analysis of an Euler IMEX-SAV scheme for the micropolar Navier-Stokes equations ⋮ 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 ⋮ 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 ⋮ A splitting discontinuous Galerkin projection method for the magneto-hydrodynamic equations ⋮ Stabilization in 3‐D FEM and solution of the MHD equations ⋮ Stability and error analysis of the SAV schemes for the inductionless MHD equations ⋮ Stability and temporal error estimate of scalar auxiliary variable schemes for the magnetohydrodynamics equations with variable density ⋮ A fully discrete decoupled finite element method for the thermally coupled incompressible magnetohydrodynamic problem ⋮ Linear, second-order, unconditionally energy stable scheme for an electrohydrodynamic model with variable density and conductivity ⋮ An efficient Hermite-Galerkin spectral scheme for three-dimensional incompressible Hall-magnetohydrodynamic system on infinite domain ⋮ Error analysis of vector penalty-projection method with second order accuracy for incompressible magnetohydrodynamic system ⋮ Unnamed Item ⋮ 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 ⋮ 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 ⋮ 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 ⋮ Filtered time-stepping method for incompressible Navier-Stokes equations with variable density ⋮ A decoupled, unconditionally energy stable and charge-conservative finite element method for inductionless magnetohydrodynamic equations
Cites Work
- Unnamed Item
- Efficient splitting schemes for magneto-hydrodynamic equations
- A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
- A linearity preserving nodal variation limiting algorithm for continuous Galerkin discretization of ideal MHD equations
- Mixed finite element methods for stationary incompressible magneto-hydrodynamics
- Convergence analysis of an unconditionally energy stable projection scheme for magneto-hydrodynamic equations
- Partitioned second order method for magnetohydrodynamics in Elsässer variables
- A robust solver for the finite element approximation of stationary incompressible MHD equations in 3D
- Decoupled, unconditionally stable, higher order discretizations for MHD flow simulation
- A partitioned finite element scheme based on Gauge-Uzawa method for time-dependent MHD equations
- A novel fully-decoupled, second-order and energy stable numerical scheme of the conserved Allen-Cahn type flow-coupled binary surfactant model
- 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
- 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 diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows
- Uniformly robust preconditioners for incompressible MHD system
- Deformation and coalescence of ferrodroplets in Rosensweig model using the phase field and modified level set approaches under uniform magnetic fields
- A decoupled, linear and unconditionally energy stable scheme with finite element discretizations for magneto-hydrodynamic equations
- Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the magneto-hydrodynamic equations
- Unconditional stability of a partitioned IMEX method for magnetohydrodynamic flows
- An overview of projection methods for incompressible flows
- Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods
- Block Preconditioners for Stable Mixed Nodal and Edge finite element Representations of Incompressible Resistive MHD
- A New Approximate Block Factorization Preconditioner for Two-Dimensional Incompressible (Reduced) Resistive MHD
- Island Coalescence Using Parallel First-Order System Least Squares on Incompressible Resistive Magnetohydrodynamics
- Numerical analysis of two partitioned methods for uncoupling evolutionary MHD flows
- Unconditionally stable operator splitting algorithms for the incompressible magnetohydrodynamics system discretized by a stabilized finite element formulation based on projections
- Positivity-Preserving Analysis of Numerical Schemes for Ideal Magnetohydrodynamics
- On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics
- Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
- Monolithic Multigrid Methods for Two-Dimensional Resistive Magnetohydrodynamics
- Iterative Methods by Space Decomposition and Subspace Correction
- A fully divergence-free finite element method for magnetohydrodynamic equations
- A partitioned second‐order method for magnetohydrodynamic flows at small magnetic reynolds numbers
- Finite Element Methods for Maxwell's Equations
- Projection Method I: Convergence and Numerical Boundary Layers
- On a Novel Fully Decoupled, Second-Order Accurate Energy Stable Numerical Scheme for a Binary Fluid-Surfactant Phase-Field Model
- A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs
- Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
- Decoupled schemes for unsteady MHD equations. I. time discretization
- Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces
- The initial-value problem for the Kelvin-Helmholtz instabilities of high-velocity and magnetized shear layers
- Decoupled, Linear, and Unconditionally Energy Stable Fully Discrete Finite Element Numerical Scheme for a Two-Phase Ferrohydrodynamics Model
- A finite element method for magnetohydrodynamics
This page was built for publication: A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations