Oblique Wave Scattering by a Symmetric Trench Submerged Beneath an Ice Cover
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 146, Issue 1
Abstract
A mathematical model of the interaction of an oblique wave and rectangular submarine trench in an ice-covered ocean is given using linearized potential theory. The motion in the fluid is characterized by velocity potentials, which are expressed in terms of eigenfunctions. The continuity of the velocity potentials at the boundary of the trench produces a set of singular integral equations. These equations are solved using a multiterm Galerkin approach. A numerical study on the amplitude of reflection and transmission coefficients has been carried out to illustrate the influence of incidence angle, flexural rigidity of ice, and geometry of the trench. Known results in the absence of ice cover are covered as a special case.
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Acknowledgments
The author thanks the reviewers and the associate editor for their comments and suggestions to revise the paper in the present form. This work is supported by a SERB, DST(EMR/2016/005315).
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 146 • Issue 1 • January 2020
Copyright
©2019 American Society of Civil Engineers.
History
Received: Jan 31, 2019
Accepted: Apr 18, 2019
Published online: Oct 9, 2019
Published in print: Jan 1, 2020
Discussion open until: Mar 9, 2020
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