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

Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness (Q5857621)

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scientific article; zbMATH DE number 7330824

Language	Label	Description	Also known as
English	Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness	scientific article; zbMATH DE number 7330824

Statements

scholarly article

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

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SIAM Journal on Scientific Computing

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publication date

1 April 2021

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full work available at URL

https://arxiv.org/abs/2005.07166

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zbMATH Keywords

discontinuous Galerkin method

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hyperbolic balance laws

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positivity-preserving

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well-balanced

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compressible Euler equations

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gravitational field

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows

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On the Choice of Wavespeeds for the HLLC Riemann Solver

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Upwind methods for hyperbolic conservation laws with source terms

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Well balanced finite volume methods for nearly hydrostatic flows

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A Second Order Well-Balanced Finite Volume Scheme for Euler Equations with Gravity

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Well-balanced nodal discontinuous Galerkin method for Euler equations with gravity

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Well-balanced schemes for the Euler equations with gravitation: conservative formulation using global fluxes

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

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Finite volume scheme with local high order discretization of the hydrostatic equilibrium for the Euler equations with external forces

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A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: equation sets and test cases

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Strong Stability-Preserving High-Order Time Discretization Methods

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A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations

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Numerical Methods for Ordinary Differential Equations

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High-order well-balanced finite volume schemes for the Euler equations with gravitation

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

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Well-balanced schemes for the Euler equations with gravitation

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Arbitrary Order Finite Volume Well-Balanced Schemes for the Euler Equations with Gravity

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A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system

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Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm

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High order finite volume WENO schemes for the Euler equations under gravitational fields

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Well-balanced discontinuous Galerkin methods for the Euler equations under gravitational fields

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Well-balanced discontinuous Galerkin methods with hydrostatic reconstruction for the Euler equations with gravitation

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Well-balanced finite difference weighted essentially non-oscillatory schemes for the Euler equations with static gravitational fields

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A Well-Balanced Symplecticity-Preserving Gas-Kinetic Scheme for Hydrodynamic Equations under Gravitational Field

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Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters

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Bound-preserving high-order schemes for hyperbolic equations: survey and recent developments

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A second-order, discretely well-balanced finite volume scheme for Euler equations with gravity

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Capturing Near-Equilibrium Solutions: A Comparison between High-Order Discontinuous Galerkin Methods and Well-Balanced Schemes

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Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations

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Positivity-Preserving Analysis of Numerical Schemes for Ideal Magnetohydrodynamics

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

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

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High order finite difference WENO schemes with the exact conservation property for the shallow water equations

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High order well-balanced WENO scheme for the gas dynamics equations under gravitational fields

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A Survey of High Order Schemes for the Shallow Water Equations

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Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes

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A well-balanced gas-kinetic scheme for the shallow-water equations with source terms

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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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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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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

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10.1137/20M133782X

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5857621

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