Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations (Q3303993)

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English	Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations	scientific article

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instance of

scholarly article

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title

Entropy Symmetrization and High-Order Accurate Entropy Stable Numerical Schemes for Relativistic MHD Equations (English)

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SIAM Journal on Scientific Computing

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publication date

5 August 2020

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full work available at URL

https://arxiv.org/abs/1907.07467

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zbMATH Keywords

relativistic magnetohydrodynamics

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symmetrizable

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entropy conservative

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entropy stable

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high-order accuracy

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MaRDI profile type

MaRDI publication profile

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Low dissipative entropy stable schemes using third order WENO and TVD reconstructions

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A MUSCL method satisfying all the numerical entropy inequalities

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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 Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces

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Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations

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

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Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws

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Monotone Difference Approximations for Scalar Conservation Laws

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Hyperbolic Conservation Laws in Continuum Physics

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Hyperbolic divergence cleaning for the MHD equations

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A novel high-order, entropy stable, 3D AMR MHD solver with guaranteed positive pressure

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

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High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics

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High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains

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Energy Preserving and Energy Stable Schemes for the Shallow Water Equations

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Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws

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ENO reconstruction and ENO interpolation are stable

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A sign preserving WENO reconstruction method

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Numerical hydrodynamics and magnetohydrodynamics in general relativity

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Symmetrizations of RMHD equations and stability of relativistic current–vortex sheets

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A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods

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A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations

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The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case

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The exact solution of the Riemann problem in relativistic magnetohydrodynamics

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On finite-difference approximations and entropy conditions for shocks

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An adaptive moving mesh method for two-dimensional relativistic magnetohydrodynamics

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Entropy stable essentially nonoscillatory methods based on RBF reconstruction

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Entropy stable shock capturing space-time discontinuous Galerkin schemes for systems of conservation laws

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Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks

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Fully Discrete, Entropy Conservative Schemes of ArbitraryOrder

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Locally divergence-free discontinuous Galerkin methods for 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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Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes

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Riemann Solvers, the Entropy Condition, and Difference

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On the Convergence of Difference Approximations to Scalar Conservation Laws

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Q4335316

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Comparison of some entropy conservative numerical fluxes for the Euler equations

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The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I

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Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems

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ENTROPY STABLE APPROXIMATIONS OF NAVIER–STOKES EQUATIONS WITH NO ARTIFICIAL NUMERICAL VISCOSITY

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

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A multidimensional grid-adaptive relativistic magnetofluid code

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Maxwell's equations in divergence form for general media with applications to MHD

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A Two-Dimensional Numerical Implementation of Magnetohydrodynamics in Divergence Form

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

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Positivity-Preserving Analysis of Numerical Schemes for Ideal Magnetohydrodynamics

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A Provably Positive Discontinuous Galerkin Method for Multidimensional Ideal Magnetohydrodynamics

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Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes

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

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Runge-Kutta discontinuous Galerkin methods for the special relativistic magnetohydrodynamics

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Identifiers

zbMATH Open document ID

1450.65089

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DOI

10.1137/19M1275590

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:3303993