Current effects on resonant reflection of surface water waves by sand bars

DOI10.1017/S0022112088000242zbMath0643.76011OpenAlexW2137445372MaRDI QIDQ3786096

James T. Kirby

Publication date: 1988

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112088000242

zbMATH Keywords

evolution equationsoblique incidencemultiple-scale expansionbar fieldresonant reflection of surface waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Partial differential equations of mathematical physics and other areas of application (35Q99) Basic methods in fluid mechanics (76M99)

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A new Lagrangian drift mechanism due to current–bathymetry interactions: applications in coastal cross-shelf transport ⋮ Resonance of longshore currents under topographic forcing ⋮ Bragg scattering of nonlinear surface waves by sinusoidal sandbars ⋮ Upstream-propagating waves induced by steady current over a rippled bottom: theory and experimental observation ⋮ Measurement of wave scattering by topography in the presence of currents ⋮ Bragg scattering of sound by surface waves in shallow water ⋮ The propagation of long waves over an undulating bed ⋮ High-Reynolds shallow flow over an inclined sinusoidal bottom ⋮ Inviscid free-surface flow over a periodic wall ⋮ On Bragg resonances and wave triad interactions in two-layered shear flows

Cites Work

• Resonant reflection of surface water waves by periodic sandbars
• The mechanics of dunes and antidunes in erodible-bed channels