The Riemann problem for the shallow water equations with discontinuous topography: the wet-dry case

DOI10.1016/J.JCP.2018.11.019zbMath1416.76025OpenAlexW2900763600WikidataQ128939763 ScholiaQ128939763MaRDI QIDQ2314321

Ernesto Pimentel, C. Parés-Madroñal

Publication date: 22 July 2019

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2018.11.019

zbMATH Keywords

finite volume methodshigh-order methodsshallow water modelapproximate Riemann solverswell-balanced methods

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (9)

The exact Riemann solver for the shallow water equations with a discontinuous bottom ⋮ Steady states and well-balanced schemes for shallow water moment equations with topography ⋮ Waves Induced by the Appearance of Single-Point Heat Source in Constant Flow ⋮ Well-balanced numerical resolution of the two-layer shallow water equations under rigid-lid with wet-dry fronts ⋮ Riemann problem for constant flow with single-point heating source ⋮ A well-balanced finite volume scheme based on planar Riemann solutions for 2D shallow water equations with bathymetry ⋮ Path-conservative positivity-preserving well-balanced finite volume WENO method for porous shallow water equations ⋮ A new second-order modified hydrostatic reconstruction for the shallow water flows with a discontinuous topography ⋮ Exact solution for Riemann problems of the shear shallow water model

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