Convergence of the kinetic hydrostatic reconstruction scheme for the Saint Venant system with topography
DOI10.1090/mcom/3600zbMath1466.65091OpenAlexW2611883451MaRDI QIDQ5856738
Xavier Lhébrard, François Bouchut
Publication date: 29 March 2021
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://hal-upec-upem.archives-ouvertes.fr/hal-01515256v3/file/kin-hydrost_conv.pdf
convergenceentropy inequalitywell-balanced schemehydrostatic reconstructionkinetic functionSaint Venant system with topography
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Weak solutions to PDEs (35D30) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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Cites Work
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- Stringent error estimates for one-dimensional, space-dependent \(2\times 2\) relaxation systems
- A robust well-balanced scheme for multi-layer shallow water equations
- Convergence of approximate solutions to conservation laws
- Entropy satisfying flux vector splittings and kinetic BGK models
- Convergence of flux vector splitting schemes with single entropy inequality for hyperbolic systems of conservation laws
- A well-balanced positivity preserving ``second-order scheme for shallow water flows on unstructured meshes
- A kinetic scheme for the Saint-Venant system with a source term
- A multi well-balanced scheme for the shallow water MHD system with topography
- Well-posedness of scalar conservation laws with singular sources
- Relaxation to isentropic gas dynamics for a BGK system with single kinetic entropy
- Transient \(L^1\) error estimates for well-balanced schemes on non-resonant scalar balance laws
- Convergence of relaxation schemes to the equations of elastodynamics
- A fully well-balanced, positive and entropy-satisfying Godunov-type method for the shallow-water equations
- Well-balanced schemes to capture non-explicit steady states: Ripa model
- A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation
- A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows
- A Positive Preserving High Order VFRoe Scheme for Shallow Water Equations: A Class of Relaxation Schemes
- WELL-BALANCED NUMERICAL SCHEMES BASED ON A GENERALIZED HYDROSTATIC RECONSTRUCTION TECHNIQUE
- A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
- Performance of numerical methods on the non‐unique solution to the Riemann problem for the shallow water equations
- On the Solution to The Riemann Problem for the Compressible Duct Flow
- FINITE DIFFERENCE SCHEMES WITH CROSS DERIVATIVES CORRECTORS FOR MULTIDIMENSIONAL PARABOLIC SYSTEMS
- Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
- A robust and entropy-satisfying numerical scheme for fluid flows in discontinuous nozzles
- Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system
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