A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations
type: Item
instance of: scholarly article
title: A well-balanced and exactly divergence-free staggered semi-implicit hybrid finite volume / finite element scheme for the incompressible MHD equations
arXiv ID: 2305.06497
author: Francesco Fambri
author: Enrico Zampa
author: Saray Busto
author: L. Río-Martín
author: Florian J. Hindenlang
author: Eric Sonnendrücker
author: Michael Dumbser
published in: Journal of Computational Physics
publication date: 2023-10-10T00:00:00Z
full work available at URL: https://arxiv.org/abs/2305.06497
Mathematics Subject Classification ID: 76Mxx
Mathematics Subject Classification ID: 65Mxx
Mathematics Subject Classification ID: 76Wxx
zbMATH DE Number: 7748072
zbMATH Keywords: well-balanced
zbMATH Keywords: divergence-free
zbMATH Keywords: semi-implicit hybrid finite volume/finite element scheme
zbMATH Keywords: staggered unstructured mixed-element meshes
zbMATH Keywords: incompressible viscous and resistive magnetohydrodynamics
MaRDI profile type: Publication
cites work: Hyperbolic systems of thermodynamically compatible conservation laws in continuum mechanics.
cites work: Implementation of the full viscoresistive magnetohydrodynamic equations in a nonlinear finite element code
cites work: Stabilized bi-cubic Hermite Bézier finite element method with application to gas-plasma interactions occurring during massive material injection in tokamaks
cites work: A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
cites work: Maintaining pressure positivity in magnetohydrodynamic simulations
cites work: Divergence-free adaptive mesh refinement for magnetohydrodynamics.
cites work: Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows
cites work: A solution-adaptive upwind scheme for ideal magnetohydrodynamics
cites work: Q5329330
cites work: Divergence correction techniques for Maxwell solvers based on a hyperbolic model
cites work: Hyperbolic divergence cleaning for the MHD equations
cites work: A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics
cites work: Ideal GLM-MHD: about the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations
cites work: An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. I: Theory and numerical verification
cites work: An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. II: Subcell finite volume shock capturing
cites work: An unsplit Godunov method for ideal MHD via constrained transport
cites work: An upwind differencing scheme for the equations of ideal magnetohydrodynamics
cites work: An HLLC-Type Approximate Riemann Solver for Ideal Magnetohydrodynamics
cites work: A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics
cites work: Non-uniform convergence of finite volume schemes for Riemann problems of ideal magnetohydrodynamics
cites work: High-order WENO schemes: Investigations on non-uniform convergence for MHD Riemann problems
cites work: An unstaggered constrained transport method for the 3D ideal magnetohydrodynamic equations
cites work: Splitting-Based Structure Preserving Discretizations for Magnetohydrodynamics
cites work: Locally divergence-free discontinuous Galerkin methods for MHD equations
cites work: Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations
cites work: New central and central discontinuous Galerkin schemes on overlapping cells of unstructured grids for solving ideal magnetohydrodynamic equations with globally divergence-free magnetic field
cites work: A discontinuous Galerkin method for the viscous MHD equations
cites work: Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes
cites work: Space-time adaptive ADER discontinuous Galerkin finite element schemes with \textit{a posteriori} sub-cell finite volume limiting
cites work: Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
cites work: A numerical method for solving incompressible viscous flow problems
cites work: Q3670748
cites work: A calculation procedure for heat, mass and momentum transfer in three- dimensional parabolic flows
cites work: A second-order projection method for the incompressible Navier-Stokes equations
cites work: A Second-Order Accurate Pressure-Correction Scheme for Viscous Incompressible Flow
cites work: Semi-implicit reduced magnetohydrodynamics
cites work: A positivity-preserving semi-implicit discontinuous Galerkin scheme for solving extended magnetohydrodynamics equations
cites work: A semi-implicit energy conserving finite element method for the dynamical incompressible magnetohydrodynamics equations
cites work: Analysis of a semi-implicit structure-preserving finite element method for the nonstationary incompressible magnetohydrodynamics equations
cites work: A Preconditioned Semi-Implicit Method for Magnetohydrodynamics Equations
cites work: A new semi-implicit method for MHD computations
cites work: Robust preconditioners for incompressible MHD models
cites work: Helicity-conservative finite element discretization for incompressible MHD systems
cites work: Stable finite element methods preserving \(\nabla \cdot \boldsymbol{B}=0\) exactly for MHD models
cites work: A finite element method for MHD that preserves energy, cross-helicity, magnetic helicity, incompressibility, and \(\operatorname{div} B = 0\)
cites work: Upwind methods for hyperbolic conservation laws with source terms
cites work: Well balanced finite volume methods for nearly hydrostatic flows
cites work: Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
cites work: A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
cites work: Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
cites work: High-order well-balanced finite volume WENO schemes for shallow water equation with moving water
cites work: A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms
cites work: On the well-balance property of Roe's method for nonconservative hyperbolic systems. applications to shallow-water systems
cites work: On Well‐Balanced Finite Volume Methods for Nonconservative Nonhomogeneous Hyperbolic Systems
cites work: Well-balanced schemes for the Euler equations with gravitation
cites work: A Second Order Well-Balanced Finite Volume Scheme for Euler Equations with Gravity

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cites work: The TOKAM3X code for edge turbulence fluid simulations of tokamak plasmas in versatile magnetic geometries

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cites work: A novel flexible field-aligned coordinate system for tokamak edge plasma simulation

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cites work: ADER schemes for three-dimensional non-linear hyperbolic systems

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DOI: 10.1016/J.JCP.2023.112493