Fully non-linear two-layer flow over arbitrary topography

DOI10.1007/BF00128764zbMath0793.76106OpenAlexW1975562136MaRDI QIDQ1321017

Shaun R. Belward, Lawrence K. Forbes

Publication date: 8 May 1994

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00128764

zbMATH Keywords

integro-differential equationsNewton's methodlinear theoryboundary integral formulationnonlinear theoryinterfacial surface

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Reaction effects in flows (76V05) Incompressible inviscid fluids (76B99)

Related Items (12)

Interfacial waves and hydraulic falls: Some applications to atmospheric flows in the lee of mountains ⋮ Potential flow over a submerged rectangular obstacle: Consequences for initiation of boulder motion ⋮ Interfacial flow over a step ⋮ Nonlinear steady two-layer interfacial flow about a submerged point vortex ⋮ Retrieval of the shape of the bottom surface of a channel when the free surface profile is given ⋮ The influence of surface tension upon trapped waves and hydraulic falls ⋮ Two-layer hydraulic falls over an obstacle ⋮ Internal capillary-gravity waves of a two-layer fluid with free surface over an obstruction—Forced extended KdV equation ⋮ Finite-amplitude effects on steady lee-wave patterns in subcritical stratified flow over topography ⋮ Use of an extremal functional in solving for an unknown bottom surface given a free surface profile ⋮ Free surface flows over a successive obstacles with surface tension and gravity effects ⋮ THREE-LAYER FLUID FLOW OVER A SMALL OBSTRUCTION ON THE BOTTOM OF A CHANNEL

Cites Work

• Two-layer critical flow over a semi-circular obstruction
• Disturbed critical surface waves in a channel of arbitrary cross section
• On the wave resistance of a submerged semi-elliptical body
• Nonlinear, drag-free flow over a submerged semi-elliptical body
• FREE-SURFACE FLOW OF A STREAM OBSTRUCTED BY AN ARBITRARY BED TOPOGRAPHY
• Free-surface flow over a semicircular obstruction
• Large amplitude progressive interfacial waves
• Forced solitary waves and hydraulic falls in two-layer flows
• Atmospheric interfacial waves
• Resonant flow of a stratified fluid over topography
• Open channel flows with submerged obstructions

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