A shallow water model for the numerical simulation of overland flow on surfaces with ridges and furrows

DOI10.1016/j.euromechflu.2011.07.002zbMath1258.76029OpenAlexW2040235707MaRDI QIDQ1940579

Frédéric Darboux, Ulrich Razafison, Carine Lucas, Olivier Delestre, François James, Stephane Cordier

Publication date: 7 March 2013

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2011.07.002

zbMATH Keywords

frictionshallow water equationsoverland flowfurrows

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Finite volume methods applied to problems in fluid mechanics (76M12) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (1)

Shallow water equations with depth-dependent anisotropic porosity for subgrid-scale topography

Cites Work

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• A multilayer Saint-Venant model: derivation and numerical validation
• Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects
• AQ-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system
• Finite-Volume Solvers for a Multilayer Saint-Venant System
• 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
• A numerical method for simulating discontinuous shallow flow over an infiltrating surface
• A new two-dimensional Shallow Water model including pressure effects and slow varying bottom topography
• Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation

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