Provably Positive Central Discontinuous Galerkin Schemes via Geometric Quasilinearization for Ideal MHD Equations (Q5886232)

scientific article; zbMATH DE number 7670864

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English	Provably Positive Central Discontinuous Galerkin Schemes via Geometric Quasilinearization for Ideal MHD Equations	scientific article; zbMATH DE number 7670864

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instance of

scholarly article

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title

Provably Positive Central Discontinuous Galerkin Schemes via Geometric Quasilinearization for Ideal MHD Equations (English)

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SIAM Journal on Numerical Analysis

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publication date

31 March 2023

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full work available at URL

https://arxiv.org/abs/2203.14853

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zbMATH Keywords

positivity preserving

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geometric quasilinearization

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compressible magnetohydrodynamics

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divergence free

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central discontinuous Galerkin

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hyperbolic conservation laws

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MaRDI profile type

MaRDI publication profile

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cites work

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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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

0 references

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

0 references

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

0 references

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

0 references

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

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

0 references

A simple finite difference scheme for multidimensional magnetohydrodynamical equations

0 references

Hyperbolic divergence cleaning for the MHD equations

0 references

Globally divergence-free discontinuous Galerkin methods for ideal magnetohydrodynamic equations

0 references

Strong Stability-Preserving High-Order Time Discretization Methods

0 references

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

0 references

Non-linear wave propagation with applications to physics and magnetohydrodynamics

0 references

A high-order WENO finite difference scheme for the equations of ideal magnetohydrodynamics

0 references

Relaxation solvers for ideal MHD equations-a review

0 references

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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A positivity-preserving well-balanced central discontinuous Galerkin method for the nonlinear shallow water equations

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Maximum-Principle-Satisfying and Positivity-Preserving High Order Central Discontinuous Galerkin Methods for Hyperbolic Conservation Laws

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A new locally divergence-free WLS-ENO scheme based on the positivity-preserving finite volume method for ideal MHD equations

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Central schemes on overlapping cells

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Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction

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

0 references

<i>L</i><sup>2</sup>stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods

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A multi-state HLL approximate Riemann solver for ideal magnetohydrodynamics

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Non-oscillatory central differencing for hyperbolic conservation laws

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Operator bounds and time step conditions for the DG and central DG methods

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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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Minimum Principle on Specific Entropy and High-Order Accurate Invariant-Region-Preserving Numerical Methods for Relativistic Hydrodynamics

0 references

A Provably Positive Discontinuous Galerkin Method for Multidimensional Ideal Magnetohydrodynamics

0 references

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

0 references

Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations

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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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Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness

0 references

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

0 references

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

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New central and central discontinuous Galerkin schemes on overlapping cells of unstructured grids for solving ideal magnetohydrodynamic equations with globally divergence-free magnetic field

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Stability analysis and error estimates of an exactly divergence-free method for the magnetic induction equations

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

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On maximum-principle-satisfying high order schemes for scalar conservation laws

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

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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 with WENO limiter for the special relativistic hydrodynamics

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A positivity-preserving Lagrangian discontinuous Galerkin method for ideal magnetohydrodynamics equations in one-dimension

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Identifiers

DOI

10.1137/22M1486996

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5886232