Scattering of surface waves by the edge of a small undulation on a porous bed in an ocean of finite depth, where the free surface has an ice-cover being modelled as an elastic plate of very small thickness, is investi...Scattering of surface waves by the edge of a small undulation on a porous bed in an ocean of finite depth, where the free surface has an ice-cover being modelled as an elastic plate of very small thickness, is investigated within the framework of linearized water wave theory. The effect of surface tension at the surface below the ice-cover is neglected. There exists only one wave number propagating at just below the ice-cover. A perturbation analysis is employed to solve the boundary value problem governed by Laplace＇s equation by a method based on Green＇s integral theorem with the introduction of appropriate Green＇s function and thereby evaluating the reflection and transmission coefficients approximately up to first order. A patch of sinusoidal ripples is considered as an example and the related coefficients are determined.展开更多
Assuming linear theory, the two-dimensional problem of water wave scattering by a horizontal nearly circular cylinder submerged in infinitely deep water with an ice cover modeled as a thin-elastic plate floating on wa...Assuming linear theory, the two-dimensional problem of water wave scattering by a horizontal nearly circular cylinder submerged in infinitely deep water with an ice cover modeled as a thin-elastic plate floating on water, is investigated here. The cross-section of the nearly circular cylinder is taken as r=a（1＋δC（θ））, where a is the radius of the corresponding circular cross-section of the cylinder, δ is a measure of small departure of the cross-section of the cylinder from its circularity and C（θ） is the shape function. Using a simplified perturbation technique the problem is reduced to two independent boundary value problems up to first order in δ. The first one corresponds to water wave scattering by a circular cylinder submerged in water with an ice-cover, while the second problem describes wave radiation by a submerged circular cylinder and involves first order correction to the reflection and transmission coefficients. The corrections are obtained in terms of integrals involving the shape function. Assuming a general Fourier expansion of the shape function, these corrections are evaluated approximately. It is well known that normally incident wave trains experience no reflection by a circular cylinder submerged in infinitely deep water with an ice cover. It is shown here that the reflection coefficient also vanishes up to first order for some particular choice of the shape function representing a nearly circular cylinder. For these cases, full transmission occurs, only change is in its phase which is depicted graphically against the wave number in a number of figures and appropriate conclusions are drawn.展开更多
Space borne radar scatterometers are primarily designed to measure the wind vector over the world ocean; yet they also provide useful information on sea ice type and extent. In this paper, it is shown how the SeaWinds...Space borne radar scatterometers are primarily designed to measure the wind vector over the world ocean; yet they also provide useful information on sea ice type and extent. In this paper, it is shown how the SeaWinds scatterometer can be used to detect new sea ice at the very beginning of its growth. Taking advantage of the very good coverage of the East Greenland Sea by SeaWinds on board the QuikSCAT satellite it has been possible to detect the early stage of formation of the sea ice peninsula, named the Odden, and to monitor its evolution during March 2001. The early sea ice detection has been validated by using RADARSAT Synthetic Aperture Radar scenes. It is also shown that microwave radiometers, such as the Special Sensor Microwave Imager (SSM/I), which are used as standard sensors for sea ice monitoring, do not detect the very early stage of sea ice growth and lag behind new sea ice occurrence by about twelve to twenty four hours.展开更多
文摘Scattering of surface waves by the edge of a small undulation on a porous bed in an ocean of finite depth, where the free surface has an ice-cover being modelled as an elastic plate of very small thickness, is investigated within the framework of linearized water wave theory. The effect of surface tension at the surface below the ice-cover is neglected. There exists only one wave number propagating at just below the ice-cover. A perturbation analysis is employed to solve the boundary value problem governed by Laplace＇s equation by a method based on Green＇s integral theorem with the introduction of appropriate Green＇s function and thereby evaluating the reflection and transmission coefficients approximately up to first order. A patch of sinusoidal ripples is considered as an example and the related coefficients are determined.
基金the financial support from CTS Visitors Program, Indian Institute of Technology, Kharagpur during the tenure of which the revision of the paper has been made
文摘Assuming linear theory, the two-dimensional problem of water wave scattering by a horizontal nearly circular cylinder submerged in infinitely deep water with an ice cover modeled as a thin-elastic plate floating on water, is investigated here. The cross-section of the nearly circular cylinder is taken as r=a（1＋δC（θ））, where a is the radius of the corresponding circular cross-section of the cylinder, δ is a measure of small departure of the cross-section of the cylinder from its circularity and C（θ） is the shape function. Using a simplified perturbation technique the problem is reduced to two independent boundary value problems up to first order in δ. The first one corresponds to water wave scattering by a circular cylinder submerged in water with an ice-cover, while the second problem describes wave radiation by a submerged circular cylinder and involves first order correction to the reflection and transmission coefficients. The corrections are obtained in terms of integrals involving the shape function. Assuming a general Fourier expansion of the shape function, these corrections are evaluated approximately. It is well known that normally incident wave trains experience no reflection by a circular cylinder submerged in infinitely deep water with an ice cover. It is shown here that the reflection coefficient also vanishes up to first order for some particular choice of the shape function representing a nearly circular cylinder. For these cases, full transmission occurs, only change is in its phase which is depicted graphically against the wave number in a number of figures and appropriate conclusions are drawn.
基金This work is partially supported by the Fifth Framework Program of the European Commission,CONVECTION project,Contract N°EVK2-2000 00058.
文摘Space borne radar scatterometers are primarily designed to measure the wind vector over the world ocean; yet they also provide useful information on sea ice type and extent. In this paper, it is shown how the SeaWinds scatterometer can be used to detect new sea ice at the very beginning of its growth. Taking advantage of the very good coverage of the East Greenland Sea by SeaWinds on board the QuikSCAT satellite it has been possible to detect the early stage of formation of the sea ice peninsula, named the Odden, and to monitor its evolution during March 2001. The early sea ice detection has been validated by using RADARSAT Synthetic Aperture Radar scenes. It is also shown that microwave radiometers, such as the Special Sensor Microwave Imager (SSM/I), which are used as standard sensors for sea ice monitoring, do not detect the very early stage of sea ice growth and lag behind new sea ice occurrence by about twelve to twenty four hours.
