Abstract
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.
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Smrutiranjan Mohapatra received his PhD from the Indian Institute of Technology, Guwahati, India in 2009. He also worked as a post doctoral fellow at the Indian Institute of Science, Bangalore, India, prior to accepting his present position of Assistant Professor in the Department of Mathematics, Institute of Chemical Technology Mumbai, India. His main areas of interest are water wave scattering problems. He has 10 research publications to his credit and is involved in number of sponsored projects.
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Mohapatra, S. Scattering of surface waves by the edge of a small undulation on a porous bed in an ocean with ice-cover. J. Marine. Sci. Appl. 13, 167–172 (2014). https://doi.org/10.1007/s11804-014-1241-2
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DOI: https://doi.org/10.1007/s11804-014-1241-2