The trapping of surface waves above a submerged, horizontal cylinder

DOI10.1017/S0022112085000945zbMath0556.76017MaRDI QIDQ3219946

P. McIver, David V. Evans

Publication date: 1984

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

zbMATH Keywords

dispersion relationsurface wavesinfinite determinantmild slope equationsubmerged horizontal cylinder

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Basic methods in fluid mechanics (76M99)

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Parametric resonance of a spherical bubble ⋮ Trapped modes in open channels ⋮ Elastic Waves Trapped above a Cylindrical Cavity ⋮ Existence and some properties of waves trapped by submerged cylinders ⋮ Excitation of waves trapped by submerged slender structures, and nonlinear resonance ⋮ Mathematical aspects of trapping modes in the theory of surface waves ⋮ On trapping of surface water waves by cylindrical bodies in a channel ⋮ On a bound for the frequency of surface waves trapped near a cylinder spanning a channel ⋮ Trapped modes in a two-layer fluid of finite depth bounded above by a rigid lid ⋮ Trapped modes in a linear problem of the theory of surface water waves ⋮ Trapped waves over symmetric thin bodies ⋮ Wave-free motions of isolated bodies and the existence of motion-trapped modes ⋮ Water waves trapped by thin submerged cylinders: exact solutions ⋮ Experimental study on water-wave trapped modes

Cites Work

• Scattering of surface waves by a conical island
• Edge waves: a long-wave theory for oceans of finite depth