A Provably Positive Discontinuous Galerkin Method for Multidimensional Ideal Magnetohydrodynamics (Q4691171)

scientific article; zbMATH DE number 6958603

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English	A Provably Positive Discontinuous Galerkin Method for Multidimensional Ideal Magnetohydrodynamics	scientific article; zbMATH DE number 6958603

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instance of

scholarly article

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title

A Provably Positive Discontinuous Galerkin Method for Multidimensional Ideal Magnetohydrodynamics (English)

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SIAM Journal on Scientific Computing

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publication date

19 October 2018

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full work available at URL

https://arxiv.org/abs/1807.00246

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zbMATH Keywords

positivity-preserving

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discontinuous Galerkin method

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magnetohydrodynamics

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high-order accuracy

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locally divergence-free

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hyperbolic conservation laws

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MaRDI profile type

MaRDI publication profile

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cites work

Nonoscillatory Central Schemes for One- and Two-Dimensional Magnetohydrodynamics Equations. II: High-Order SemiDiscrete Schemes

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Maintaining pressure positivity in magnetohydrodynamic simulations

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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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Q4247284

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Q3425089

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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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A Runge-Kutta discontinuous Galerkin scheme for the ideal magnetohydrodynamical model

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

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

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A high-order positivity-preserving single-stage single-step method for the ideal magnetohydrodynamic equations

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Positivity-Preserving Finite Difference Weighted ENO Schemes with Constrained Transport for Ideal Magnetohydrodynamic Equations

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Finite difference weighted essentially non-oscillatory schemes with constrained transport for ideal magnetohydrodynamics

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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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A simple finite difference scheme for multidimensional magnetohydrodynamical equations

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Hyperbolic divergence cleaning for the MHD equations

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A note on magnetic monopoles and the one-dimensional MHD Riemann problem.

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An unsplit Godunov method for ideal MHD via constrained transport

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High order strong stability preserving time discretizations

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Positivity-preserving method for high-order conservative schemes solving compressible Euler equations

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A positive conservative method for magnetohydrodynamics based on HLL and Roe methods

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Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws.

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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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Parametrized maximum principle preserving flux limiters for high order schemes solving multi-dimensional scalar hyperbolic conservation laws

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Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes

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Q4335316

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Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters

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An Unstaggered, High‐Resolution Constrained Transport Method for Magnetohydrodynamic Flows

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Locally Divergence-preserving Upwind Finite Volume Schemes for Magnetohydrodynamic Equations

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

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A positive MUSCL-Hancock scheme for ideal magnetohydrodynamics

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

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Positivity-Preserving Analysis of Numerical Schemes for Ideal Magnetohydrodynamics

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High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics

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Admissible states and physical-constraints-preserving schemes for relativistic magnetohydrodynamic equations

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Parametrized positivity preserving flux limiters for the high order finite difference WENO scheme solving compressible Euler equations

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Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem

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Bound-Preserving High-Order Schemes

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On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations

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

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Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments

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Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms

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Runge-Kutta discontinuous Galerkin methods for the special relativistic magnetohydrodynamics

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Identifiers

zbMATH Open document ID

1404.65184

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DOI

10.1137/18M1168042

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4691171