Note on Bragg scattering of water waves by parallel bars on the seabed

DOI10.1017/S0022112088000084zbMath0643.76009MaRDI QIDQ3786094

Tetsu Hara, Mamoun Naciri, Chiang C. Mei

Publication date: 1988

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

zbMATH Keywords

breakwatersBragg scattering of surface wavessingle massive breakwatersinusoidal sandbarsstrip of infinitely long bars

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)

Related Items (23)

Trapped modes in two-dimensional waveguides ⋮ Effects of distributed roughness on crossflow instability through generalized resonance mechanisms ⋮ Interaction of surface gravity waves on a nonuniformly periodic seabed ⋮ Reflection of water waves by a weak rapidly varying shearing current ⋮ Nonlinear Bragg scattering of surface waves over a two-dimensional periodic structure ⋮ Bragg scattering of nonlinear surface waves by sinusoidal sandbars ⋮ Shore protection by oblique seabed bars ⋮ The interaction of flexural-gravity waves with periodic geometries ⋮ Gravity wave propagation in inhomogeneous media: wave scattering and interference process ⋮ Bragg scattering of sound by surface waves in shallow water ⋮ Phase downshift or upshift of Bragg resonance for water wave reflection by an array of cycloidal bars or trenches ⋮ The propagation of long waves over an undulating bed ⋮ Oblique sub- and super-harmonic Bragg resonance of surface waves by bottom ripples ⋮ A complementary mild-slope equation derived using higher-order depth function for waves obliquely propagating on sloping bottom ⋮ Weakly nonlinear theory for a gate-type curved array in waves ⋮ Resonant reflection of surface gravity waves by one-dimensional doubly sinusoidal beds ⋮ Equilibrium states with finite amplitudes at exactly and nearly class-I Bragg resonances ⋮ A note on Bragg scattering of surface waves by sinusoidal bars ⋮ On higher order Bragg resonance of water waves by bottom corrugations ⋮ Scattering of surface gravity waves over a pair of trenches ⋮ Water waves over arrays of horizontal cylinders: band gaps and Bragg resonance ⋮ Effect of Bragg scattering due to bottom undulation on a floating dock ⋮ Scattering of internal tides by irregular bathymetry of large extent

Cites Work

• Resonant reflection of surface water waves by periodic sandbars

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