An Efficient Implementation of the Divergence Free Constraint in a Discontinuous Galerkin Method for Magnetohydrodynamics on Unstructured Meshes (Q5158733): Difference between revisions

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scientific article; zbMATH DE number 7413979

Language	Label	Description	Also known as
English	An Efficient Implementation of the Divergence Free Constraint in a Discontinuous Galerkin Method for Magnetohydrodynamics on Unstructured Meshes	scientific article; zbMATH DE number 7413979

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instance of

scholarly article

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title

An Efficient Implementation of the Divergence Free Constraint in a Discontinuous Galerkin Method for Magnetohydrodynamics on Unstructured Meshes (English)

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published in

Communications in Computational Physics

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publication date

26 October 2021

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full work available at URL

https://semanticscholar.org/paper/2915af96b3c7515c0d633a749743b475e79abdc5

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zbMATH Keywords

ideal magnetohydrodynamics equations

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discontinuous Galerkin method

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divergence free constraint

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locally divergence free projection

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divergence free cleaning technique

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MaRDI profile type

Publication

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cites work

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

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

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A multiwave approximate Riemann solver for ideal MHD based on relaxation. II: Numerical implementation with 3 and 5 waves

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

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Two families of mixed finite elements for second order elliptic problems

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Positivity-preserving DG and central DG methods for ideal MHD equations

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Locally divergence-free discontinuous Galerkin methods for the Maxwell equations.

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TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework

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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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The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case

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The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws

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The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems

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Runge--Kutta discontinuous Galerkin methods for convection-dominated problems

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Hyperbolic divergence cleaning for the MHD equations

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Strong stability-preserving high-order time discretization methods

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Sub-optimal convergence of non-symmetric discontinuous Galerkin methods for odd polynomial approximations

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Q5756148

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Locally divergence-free discontinuous Galerkin methods for MHD equations

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Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations

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Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field

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A new family of mixed finite elements in ${\mathbb{R}}^ 3$

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A discontinuous $hp$ finite element method for diffusion problems

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Q4335316

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TVB Uniformly High-Order Schemes for Conservation Laws

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Efficient implementation of essentially nonoscillatory shock-capturing schemes

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On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes

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

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A robust numerical scheme for highly compressible magnetohydrodynamics: nonlinear stability, implementation and tests

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Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes

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Identifiers

zbMATH Open document ID

1488.65427

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Mathematics Subject Classification ID

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10.4208/CICP.180515.230616A

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Sitelinks

Mathematics(1 entry)

mardi Publication:5158733

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