Decoupled, linear, unconditionally energy stable and charge-conservative finite element method for an inductionless magnetohydrodynamic phase-field model
From MaRDI portal
Publication:6089641
DOI10.1016/j.matcom.2023.08.039arXiv2201.13167MaRDI QIDQ6089641
Publication date: 13 November 2023
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.13167
mixed finite element methodCahn-Hilliard equationsenergy stableinductionless MHD equationscharge-conservativedecouple scheme
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A consistent and conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. III: On a staggered mesh
- Level set method for two-phase incompressible flows under magnetic fields
- Energy law preserving \(C^0\) finite element schemes for phase field models in two-phase flow computations
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Block recursive LU preconditioners for the thermally coupled incompressible inductionless MHD problem
- Three-dimensional, fully adaptive simulations of phase-field fluid models
- A stable finite element for the Stokes equations
- Magnetohydrodynamics. Transl. from the French by A. F. Wright, typeset by C. Philippe
- A stabilized finite element method for the incompressible magnetohydrodynamic equations
- Two-dimensional Kelvin-Helmholtz instabilities of multi-component fluids
- A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
- Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term
- An \(L^ \infty\) bound for solutions of the Cahn-Hilliard equation
- Direct numerical simulations of incompressible multiphase magnetohydrodynamics with phase change
- Second-order energy stable schemes for the new model of the Cahn-Hilliard-MHD equations
- Cahn-Hilliard-Brinkman systems for tumour growth
- Highly efficient and energy stable schemes for the 2D/3D diffuse interface model of two-phase magnetohydrodynamics
- A decoupled, unconditionally energy stable and charge-conservative finite element method for inductionless magnetohydrodynamic equations
- A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows
- A numerical algorithm for MHD of free surface flows at low magnetic Reynolds numbers
- Diffuse interface model for incompressible two-phase flows with large density ratios
- A current density conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. I: On a rectangular collocated grid system
- A level set approach to simulate magnetohydrodynamic instabilities in aluminum reduction cells
- Tracking entropy wave in ideal MHD equations by weighted ghost fluid method
- Unconditional stability and optimal error estimates of first order semi-implicit stabilized finite element method for two phase magnetohydrodynamic diffuse interface model
- Energy stable schemes with second order temporal accuracy and decoupled structure for diffuse interface model of two-phase magnetohydrodynamics
- An Introduction to Magnetohydrodynamics
- 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
- An Energetic Variational Formulation with Phase Field Methods for Interfacial Dynamics of Complex Fluids: Advantages and Challenges
- Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
- Phase-Field Models for Multi-Component Fluid Flows
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- Hydrodynamic Stability
- Finite Element Methods for Maxwell's Equations
- New development in freefem++
- An Energy-Stable Finite Element Method for Incompressible Magnetohydrodynamic-Cahn-Hilliard Coupled Model
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- A Charge-Conservative Finite Element Method for Inductionless MHD Equations. Part I: Convergence
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
- Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method
- An Efficient Two-Grid Scheme for the Cahn-Hilliard Equation
This page was built for publication: Decoupled, linear, unconditionally energy stable and charge-conservative finite element method for an inductionless magnetohydrodynamic phase-field model
