Modified shallow water equations which admit the propagation of discontinuous waves over a dry bed

DOI10.1007/S10808-007-0103-YzbMath1271.76046OpenAlexW2085997089MaRDI QIDQ364025

V. V. Ostapenko

Publication date: 5 September 2013

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10808-007-0103-y

zbMATH Keywords

shallow water equationsdam-break problemdiscontinuous wavesmodified total-momentum conservation law

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (6)

Open-channel waves generated by propagation of a discontinuous wave over a bottom step ⋮ Discontinuous solutions of the shallow water equations in a channel with an abrupt change in the cross sectional area ⋮ Wave flows induced by lifting of a rectangular beam partly immersed in shallow water ⋮ On the application of shallow water theory to modeling wave flows with hydraulic bores ⋮ Two-dimensional solutions of the shallow water equations in the neighbourhood of a shoreline ⋮ The problem of lifting a symmetric convex body from shallow water

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Propagation of discontinuouswaves along a dry bed
• Start-to-finish calculation of continuous waves in open channels
• Experimental verification of the gas-hydraulic analogy with reference to the dam-break problem
• A turbulent bore on a beach
• Turbulent bores and hydraulic jumps
• TVD schemes for open channel flow
• The initial stages of dam-break flow
• Central schemes for open-channel flow
• ANALYTICAL AND NUMERICAL SOLUTIONS OF THE SHALLOW WATER EQUATIONS FOR 2D ROTATIONAL FLOWS
• Systems of Conservation Equations with a Convex Extension
• Simple waves on shear flows: similarity solutions
• Some Properties of Long Nonlinear Waves
• Waves on a shallow sloping beach
• The effects of hydraulic resistance in the dam-break problem

This page was built for publication: Modified shallow water equations which admit the propagation of discontinuous waves over a dry bed