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Citation:
　Sandip Paul and Soumen De.Wave Scattering by Porous Bottom Undulationin a Two Layered Channel[J].Journal of Marine Science and Application,2014,(4):355-361.[doi:10.1007/s11804-014-1276-4]
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Wave Scattering by Porous Bottom Undulationin a Two Layered Channel

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Title:
Wave Scattering by Porous Bottom Undulationin a Two Layered Channel
Author(s):
Sandip Paul and Soumen De
Affilations:
Author(s):
Sandip Paul and Soumen De
1. Department of Mathematics, Adamas Institute of Technology, Kolkata 700126, India2. Department of Applied Mathematics, University of Calcutta, Kolkata 700009, India
Keywords:
bottom undulations;  two-layer fluid;  porous bed;  reflection and transmission coefficients;  wave scattering
分类号:
-
DOI:
10.1007/s11804-014-1276-4
Abstract:
The scattering of plane surface waves by bottom undulations in channel flow consisting of two layers is investigated by assuming that the bed of the channel is composed of porous material. The upper surface of the fluid is bounded by a rigid lid and the channel is unbounded in the horizontal directions. There exists only one wave mode corresponding to an internal wave. For small undulations, a simplified perturbation analysis is used to obtain first order reflection and transmission coefficients in terms of integrals involving the shape function describing the bottom. For sinusoidal bottom undulations and exponentially decaying bottom topography, the first order coefficients are computed. In the case of sinusoidal bottom the first order transmission coefficient is found to vanish identically. The numerical results are depicted graphically in a number of figures.

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Last Update: 2014-12-09