Oblique flexural gravity-wave scattering due to changes in bottom topography

DOI10.1007/s10665-009-9297-8zbMath1273.76062OpenAlexW2014519450MaRDI QIDQ980700

J. Bhattacharjee, D. Karmakar, T. Sahoo

Publication date: 29 June 2010

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-009-9297-8

zbMATH Keywords

reflection and transmission coefficientsvariable bottom topographyshallow-water approximationflexural gravity waveswide-spacing approximation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Glaciology (86A40)

Related Items (13)

Hydroelastic interaction between water waves and thin elastic plate floating on three-layer fluid ⋮ Scattering of oblique waves by a semi-infinite floating elastic plate within the framework of wave blocking ⋮ Dynamics of flexural gravity waves: from sea ice to Hawking radiation and analogue gravity ⋮ Comments on a class of orthogonality relations relevant to fluid-structure interaction ⋮ Barrier and bottom topography effects on hydroelastic response of floating elastic plate in a two-layer fluid ⋮ Topographical and barrier influences on hydroelastic response of an elastic plate floating in a two-layer fluid ⋮ Acoustic scattering in a waveguide with a height discontinuity bridged by a membrane: a tailored Galerkin approach ⋮ Reduction of hydroelastic response of a flexible floating structure by an annular flexible permeable membrane ⋮ Wave interaction with a floating and submerged elastic plate system ⋮ Flexural gravity wave over a floating ice sheet near a vertical wall ⋮ Effect of bottom undulation for mitigating wave-induced forces on a floating bridge ⋮ Propagation of oblique flexural gravity waves over finite number of steps ⋮ Oblique wave diffraction by a flexible floating structure in the presence of a submerged flexible structure

Cites Work

• Expansion formulae for wave structure interaction problems with applications in hydroelasticity
• Scattering of flexural waves by multiple narrow cracks in ice sheets floating on water
• The effect of submergence on wave scattering across a transition between two floating flexible plates
• Transformation of flexural gravity waves by heterogeneous boundaries
• Parametric excitation of flexural-gravity edge waves in the fluid beneath an elastic ice sheet with a crack
• Oblique scattering of plane flexural–gravity waves by heterogeneities in sea–ice
• Waves due to a steadily moving source on a floating ice plate. Part 2
• Scattering of flexural–gravity waves at the boundaries between three floating sheets with applications
• A multi-mode approximation to wave scattering by ice sheets of varying thickness
• Expansion formulae in wave structure interaction problems
• On the oblique reflexion and transmission of ocean waves at shore fast sea ice
• Approximations to wave scattering by an ice sheet of variable thickness over undulating bed topography

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