Scattering of long waves by cylindrical obstacles and gratings using matched asymptotic expansions

DOI10.1017/S0022112088000801zbMath0651.76036MaRDI QIDQ3796909

Robert A. Dalrymple, Paul A. Martin

Publication date: 1988

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

zbMATH Keywords

method of matched asymptotic expansionsscattering of acoustic wavesscattering of water wavesgrating of cylinderslong-wave problems

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hydro- and aero-acoustics (76Q05)

Related Items (6)

Uniform flow past a periodic array of cylinders ⋮ A model for the scattering of long waves by slotted breakwaters in the presence of currents ⋮ Tidal diffraction by a small island or cape, and tidal power from a coastal barrier ⋮ Geometry-Fitted Fourier-Mellin Transform Pairs ⋮ Scattering of water waves by axisymmetric bodies in a channel ⋮ Frictional slip lengths and blockage coefficients

Cites Work

• On the T-matrix for water-wave scattering problems
• Propagation of obliquely incident water waves over a trench
• Surface-wave diffraction by a periodic row of submerged ducts
• Irregular frequencies and the motion of floating bodies
• On surface-wave diffraction by a trench
• On the virtual-mass and damping coefficients for long waves in water of finite depth
• Lateral motion of a slender body between two parallel walls
• Scattering of surface waves by rectangular obstacles in waters of finite depth
• Transmission of water waves through small apertures

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