Journal ArticleDOI
Surface water waves involving a vertical barrier in the presence of an ice-cover
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TLDR
In this paper, a class of boundary value problems involving propagation of two-dimensional surface water waves, associated with deep water and a plane vertical rigid barrier is investigated under the assumption that the surface is covered by a thin sheet of ice.About:
This article is published in International Journal of Engineering Science.The article was published on 2003-06-01. It has received 19 citations till now. The article focuses on the topics: Mixed boundary condition & Boundary value problem.read more
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Of ocean waves and sea-ice revisited
TL;DR: In this article, Squire et al. distinguish between two major seaice types: continuous ice, such as is normally found in the central Arctic, and the ice of marginal neighbourhoods, i.e. near the open sea, where individual ice floes and cakes are present at typically lower levels of concentration.
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Interaction of hydro-elastic waves with a vertical wall
TL;DR: In this paper, a linear two-dimensional problem of hydroelastic waves reflected by a vertical wall is analyzed, where the fluid is of finite depth and is covered by an ice sheet.
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Flexural gravity wave over a floating ice sheet near a vertical wall
TL;DR: In this paper, the behavior of flexural gravity waves propagating over a semi-infinite floating ice sheet is studied under the assumptions of small amplitude linear wave theory, in which the vertical wall is either fixed or harmonically oscillating with constant horizontal displacement.
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Expansion formulae for wave structure interaction problems with applications in hydroelasticity
TL;DR: In this article, the Fourier sine transform is applied in the horizontal direction to convert the boundary value problem to a Sturm-Liouville type boundary value associated with nonhomogeneous ordinary differential equation (ODE) in the transformed variable.
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Scattering of Surface Water Waves by a Floating Elastic Plate in Two Dimensions
R. Gayen,B. N. Mandal +1 more
TL;DR: A new method to study the problem of water wave scattering by a thin elastic plate of arbitrary width floating in deep water assuming linear theory produces known results for the reflection coefficient.
References
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Journal ArticleDOI
On the Oblique Reflexion and Transmission of Ocean Waves at Shore Fast Sea Ice
Colin Fox,Vernon A. Squire +1 more
TL;DR: In this paper, a mathematical model describing the oblique reflexion and penetration of ocean waves into shore fast sea ice is presented, where all velocity potentials occurring in the open water region to be matched precisely to their counterparts in the ice covered region.
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The effect of a fixed vertical barrier on surface waves in deep water
F. Ursell,W. R. Dean +1 more
TL;DR: In this paper, it was shown that when the normal velocity is prescribed at each point of an infinite vertical plane extending from the surface, the motion on each side of the plane is completely determined.
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The theory of generalized functions
TL;DR: In this paper, the authors give an introductory account of the construction and properties of generalized functions f(x) of real variables x$\{1}$,x$\_{2}$,$\cdots $,x$ \_{n}$.
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The diffraction of plane gravitational waves by the edge of an ice cover
TL;DR: In this paper, the diffraction of plane surface gravitational waves by the edge of an ice cover lying on the surface of an incompressible fluid of infinitely great depth is considered.