Positivity-preserving well-balanced central discontinuous Galerkin schemes for the Euler equations under gravitational fields
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Publication:2671412
DOI10.1016/j.jcp.2022.111297OpenAlexW4280627761MaRDI QIDQ2671412
Kailiang Wu, Haili Jiang, Hua-Zhong Tang
Publication date: 3 June 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.09398
Euler equationsgravitational fieldwell-balanced schemespositivity-preserving propertycentral discontinuous Galerkin method
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Hyperbolic equations and hyperbolic systems (35Lxx)
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On high order positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation ⋮ Fifth-order well-balanced positivity-preserving finite difference AWENO scheme with hydrostatic reconstruction for hyperbolic chemotaxis models
Cites Work
- Well-balanced discontinuous Galerkin methods for the Euler equations under gravitational fields
- Finite volume scheme with local high order discretization of the hydrostatic equilibrium for the Euler equations with external forces
- Well-balanced schemes for the Euler equations with gravitation
- Positivity-preserving method for high-order conservative schemes solving compressible Euler equations
- Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations
- Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations
- Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes
- Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field
- Well balanced finite volume methods for nearly hydrostatic flows
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- A central discontinuous Galerkin method for Hamilton-Jacobi equations
- Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms
- A second-order, discretely well-balanced finite volume scheme for Euler equations with gravity
- Non-oscillatory central differencing for hyperbolic conservation laws
- On maximum-principle-satisfying high order schemes for scalar conservation laws
- Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Upwind methods for hyperbolic conservation laws with source terms
- A well-balanced gas-kinetic scheme for the shallow-water equations with source terms
- Well-balanced discontinuous Galerkin methods with hydrostatic reconstruction for the Euler equations with gravitation
- Runge-Kutta discontinuous Galerkin methods for the special relativistic magnetohydrodynamics
- Well-balanced schemes for the Euler equations with gravitation: conservative formulation using global fluxes
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier-Stokes equations
- Bound-preserving high-order schemes for hyperbolic equations: survey and recent developments
- Well-balanced finite difference weighted essentially non-oscillatory schemes for the Euler equations with static gravitational fields
- Resolution of high order WENO schemes for complicated flow structures.
- High order well-balanced WENO scheme for the gas dynamics equations under gravitational fields
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- A positivity-preserving well-balanced central discontinuous Galerkin method for the nonlinear shallow water equations
- Well-balanced nodal discontinuous Galerkin method for Euler equations with gravity
- Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations
- Positivity-preserving well-balanced arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the shallow water equations
- Well-balanced central schemes for the one and two-dimensional Euler systems with gravity
- Provably positive high-order schemes for ideal magnetohydrodynamics: analysis on general meshes
- High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics
- Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics
- High order finite volume WENO schemes for the Euler equations under gravitational fields
- A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: equation sets and test cases
- A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system
- Central schemes on overlapping cells
- High order finite difference WENO schemes with the exact conservation property for the shallow water equations
- Operator bounds and time step conditions for the DG and central DG methods
- Strong Stability-Preserving High-Order Time Discretization Methods
- Well-Balanced Unstaggered Central Schemes for the Euler Equations with Gravitation
- Maximum-Principle-Satisfying and Positivity-Preserving High Order Central Discontinuous Galerkin Methods for Hyperbolic Conservation Laws
- Bound-Preserving High-Order Schemes
- A Well-Balanced Symplecticity-Preserving Gas-Kinetic Scheme for Hydrodynamic Equations under Gravitational Field
- Positivity-Preserving Analysis of Numerical Schemes for Ideal Magnetohydrodynamics
- Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem
- L2stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
- The Bramble--Hilbert Lemma for Convex Domains
- A Provably Positive Discontinuous Galerkin Method for Multidimensional Ideal Magnetohydrodynamics
- A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
- Minimum Principle on Specific Entropy and High-Order Accurate Invariant-Region-Preserving Numerical Methods for Relativistic Hydrodynamics
- Runge-Kutta Central Discontinuous Galerkin Methods for the Special Relativistic Hydrodynamics
- Capturing Near-Equilibrium Solutions: A Comparison between High-Order Discontinuous Galerkin Methods and Well-Balanced Schemes
- High Order Discretely Well-Balanced Methods for Arbitrary Hydrostatic Atmospheres
- A Second Order Well-Balanced Finite Volume Scheme for Euler Equations with Gravity
- A Survey of High Order Schemes for the Shallow Water Equations
- Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction
- Admissible states and physical-constraints-preserving schemes for relativistic magnetohydrodynamic equations
- Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness
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