A New Discretely Divergence-Free Positivity-Preserving High-Order Finite Volume Method for Ideal MHD Equations (Q6177444)

scientific article; zbMATH DE number 7790226

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English	A New Discretely Divergence-Free Positivity-Preserving High-Order Finite Volume Method for Ideal MHD Equations	scientific article; zbMATH DE number 7790226

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instance of

scholarly article

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title

A New Discretely Divergence-Free Positivity-Preserving High-Order Finite Volume Method for Ideal MHD Equations (English)

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SIAM Journal on Scientific Computing

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publication date

17 January 2024

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full work available at URL

https://arxiv.org/abs/2305.14820

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zbMATH Keywords

compressible MHD

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hyperbolic conservation laws

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positivity-preserving

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divergence-free

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finite volume method

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high-order accuracy

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MaRDI profile type

MaRDI publication profile

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cites work

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

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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

0 references

An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws

0 references

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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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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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.

0 references

Flux-corrected transport techniques for multidimensional compressible magnetohydrodynamics

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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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High order strong stability preserving time discretizations

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An unstaggered constrained transport method for the 3D ideal magnetohydrodynamic equations

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A High-Order Unstaggered Constrained-Transport Method for the Three-Dimensional Ideal Magnetohydrodynamic Equations Based on the Method of Lines

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

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

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Relaxation solvers for ideal MHD equations-a review

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Bound-preserving flux limiting for high-order explicit Runge-Kutta time discretizations of 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 new locally divergence-free WLS-ENO scheme based on the positivity-preserving finite volume method for ideal MHD equations

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On the divergence-free condition in Godunov-type schemes for ideal magnetohydrodynamics: the upwind constrained transport method.

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Constraint preserving schemes using potential-based fluxes. III. Genuinely multi-dimensional schemes for MHD equations

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Q4335316

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

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A technique of treating negative weights in WENO schemes

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Q4247279

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

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Positivity Preserving Limiters for Time-Implicit Higher Order Accurate Discontinuous Galerkin Discretizations

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

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

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Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes

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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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Divergence-Free WENO Reconstruction-Based Finite Volume Scheme for Solving Ideal MHD Equations on Triangular Meshes

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

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Identifiers

arXiv ID

2305.14820

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6177444