A reliable second-order hydrostatic reconstruction for shallow water flows with the friction term and the bed source term

DOI10.1016/J.CAM.2020.112871zbMath1433.76106OpenAlexW3012868706MaRDI QIDQ1987464

Dingfang Li, Jian Dong

Publication date: 15 April 2020

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2020.112871

zbMATH Keywords

positivity preservingwell-balancingfriction source termSaint-Venant systemnew hydrostatic reconstruction

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65)

Related Items (3)

A new second-order modified hydrostatic reconstruction for the shallow water flows with a discontinuous topography ⋮ A robust second-order surface reconstruction for shallow water flows with a discontinuous topography and a Manning friction ⋮ Surface reconstruction schemes for shallow water equations with a nonconservative product source term

Uses Software

• HLLE

Cites Work

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• A well-balanced reconstruction of wet/dry fronts for the shallow water equations
• A limitation of the hydrostatic reconstruction technique for shallow water equations
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Upwind methods for hyperbolic conservation laws with source terms
• A modified central discontinuous Galerkin method with positivity-preserving and well-balanced properties for the one-dimensional nonlinear shallow water equations
• Well-balanced central schemes for systems of shallow water equations with wet and dry states
• Well-balanced positivity preserving central-upwind scheme with a novel wet/dry reconstruction on triangular grids for the Saint-Venant system
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system
• High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms
• Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• On the Artificial Compression Method for Second-Order Nonoscillatory Central Difference Schemes for Systems of Conservation Laws
• Numerical solutions of the shallow water equations with discontinuous bed topography
• 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
• Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds
• A New Hydrostatic Reconstruction Scheme Based on Subcell Reconstructions
• Two Interface-Type Numerical Methods for Computing Hyperbolic Systems with Geometrical Source Terms Having Concentrations

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