A Godunov method for the computation of erosional shallow water transients

DOI10.1002/fld.475zbMath1028.76028OpenAlexW2043554958MaRDI QIDQ4422598

Hervé Capart, Yves Zech, Luigi Fraccarollo

Publication date: 20 August 2003

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.475

zbMATH Keywords

Godunov methodshallow-water equationssecond-order accuracyStrang splittingRiemann solutionsopen-channel flowsMUSCL extrapolationerosional dam-break wavesfinite volume numerical solverHarten-Lax-Van Leer schememorphodynamic bottom profilerapid bed erosionsediment transport layerwater free-surface

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12)

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Uses Software

• HE-E1GODF

Cites Work

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• Formation of a jump by the dam-break wave over a granular bed
• Riemann wave description of erosional dam-break flows