Constraint preserving discontinuous Galerkin method for ideal compressible MHD on 2-D Cartesian grids (Q2007022)

scientific article

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English	Constraint preserving discontinuous Galerkin method for ideal compressible MHD on 2-D Cartesian grids	scientific article

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instance of

scholarly article

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title

Constraint preserving discontinuous Galerkin method for ideal compressible MHD on 2-D Cartesian grids (English)

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author

Praveen Chandrashekar

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Rakesh Kumar

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published in

Journal of Scientific Computing

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publication date

12 October 2020

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full work available at URL

https://arxiv.org/abs/2007.13056

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zbMATH Keywords

divergence-free reconstruction step

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multi-dimensional Riemann solver

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Raviart-Thomas polynomial

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describes a project that uses

RIEMANN

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HLLE

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MaRDI profile type

MaRDI publication profile

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cites work

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Divergence-free reconstruction of magnetic fields and WENO schemes for magnetohydrodynamics

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Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows

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Multidimensional Riemann problem with self-similar internal structure. I: Application to hyperbolic conservation laws on structured meshes

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Von Neumann stability analysis of globally divergence-free RKDG schemes for the induction equation using multidimensional Riemann solvers

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A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations

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On the Choice of Wavespeeds for the HLLC Riemann Solver

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A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: Theoretical framework

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The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations

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Entropy Stable Finite Volume Scheme for Ideal Compressible MHD on 2-D Cartesian Meshes

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TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems

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Hyperbolic divergence cleaning for the MHD equations

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Ideal GLM-MHD: about the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations

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A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws

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Globally divergence-free discontinuous Galerkin methods for ideal magnetohydrodynamic equations

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An unsplit Godunov method for ideal MHD via constrained transport

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An HLLC-Type Approximate Riemann Solver for Ideal Magnetohydrodynamics

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On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws

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Globally constraint-preserving FR/DG scheme for Maxwell's equations at all orders

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Contractivity of Runge-Kutta methods

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Q4136469

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Efficient implementation of essentially nonoscillatory shock-capturing schemes

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The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes

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A simple two-dimensional extension of the HLL Riemann solver for hyperbolic systems of conservation laws

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Affordable, entropy conserving and entropy stable flux functions for the ideal MHD equations

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Identifiers

zbMATH Open document ID

1448.76121

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DOI

10.1007/s10915-020-01289-8

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2007022