Edge waves over a shelf: full linear theory

DOI10.1017/S0022112084001002zbMath0565.76014MaRDI QIDQ3680467

David V. Evans, P. McIver

Publication date: 1984

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

zbMATH Keywords

Numerical solutioneigenfunction expansionedge waves over a shelffull linearized theory

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (12)

On semi-infinite spectral elements for Poisson problems with re-entrant boundary singularities ⋮ Trapped modes in open channels ⋮ Resonant frequencies in a container with a vertical baffle ⋮ Shallow-water edge waves above an inclined bottom slowly varied in along-shore direction. ⋮ Mathematical aspects of trapping modes in the theory of surface waves ⋮ A body traps as many water-wave modes in a symmetric channel as it wishes ⋮ Edge waves propagating in a two-layer fluid along a periodic coastline ⋮ Trapped waves over symmetric thin bodies ⋮ Amplitude variations of edge waves on a shelf slowly varying in the alongshore direction ⋮ The motion of a heavy liquid in a vessel with a horizontal baffle ⋮ Diffraction of water waves by a moored, horizontal, flat plate ⋮ Focusing of edge waves above a sloping beach

Cites Work

• The effect of a submerged barrier on the natural freqencies and radiation damping of a shallow basin connected to open water
• Edge waves: a long-wave theory for oceans of finite depth
• On the trapping of wave energy round islands
• Surface-wave scattering matrix for a shelf

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