High-order well-balanced finite volume schemes for the Euler equations with gravitation
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Publication:2314320
DOI10.1016/j.jcp.2018.11.018zbMath1416.65266arXiv1807.04074OpenAlexW2827482115MaRDI QIDQ2314320
Roger Käppeli, L. Grosheintz-Laval
Publication date: 22 July 2019
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.04074
Finite volume methods applied to problems in fluid mechanics (76M12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Euler equations (35Q31)
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Cites Work
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- Well-balanced schemes for the Euler equations with gravitation
- A well-balanced path-integral f-wave method for hyperbolic problems with source terms
- Well balanced finite volume methods for nearly hydrostatic flows
- The piecewise parabolic method (PPM) for gas-dynamical simulations
- High-order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres
- High resolution schemes for hyperbolic conservation laws
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
- The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. I: The scalar case
- Well-balanced discontinuous Galerkin methods with hydrostatic reconstruction for the Euler equations with gravitation
- Well-balanced schemes for the Euler equations with gravitation: conservative formulation using global fluxes
- Well-balanced finite difference weighted essentially non-oscillatory schemes for the Euler equations with static gravitational fields
- High order well-balanced WENO scheme for the gas dynamics equations under gravitational fields
- Well-balanced nodal discontinuous Galerkin method for Euler equations with gravity
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- High order finite volume WENO schemes for the Euler equations under gravitational fields
- Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
- Strong Stability-Preserving High-Order Time Discretization Methods
- Well-Balanced Unstaggered Central Schemes for the Euler Equations with Gravitation
- Stellar Structure and Evolution
- A Well-Balanced Scheme for the Euler Equation with a Gravitational Potential
- High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
- Computational Gasdynamics
- On the Choice of Wavespeeds for the HLLC Riemann Solver
- Compact Central WENO Schemes for Multidimensional Conservation Laws
- Arbitrary Order Finite Volume Well-Balanced Schemes for the Euler Equations with Gravity
- CWENO: Uniformly accurate reconstructions for balance laws
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
- Computing Qualitatively Correct Approximations of Balance Laws
- A Second Order Well-Balanced Finite Volume Scheme for Euler Equations with Gravity
- A Well-Balanced Scheme for the Euler Equations with Gravitation
