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Propagation of obliquely incident water waves over a trench. Part 2. Currents flowing along the trench

Published online by Cambridge University Press:  21 April 2006

James T. Kirby ,
Robert A. Dalrymple  and
Seung Nam Seo
James T. Kirby
Affiliation:
Coastal and Oceanographic Engineering Department, University of Florida, Gainesville, FL 32611, USA
Robert A. Dalrymple
Affiliation:
Department of Civil Engineering, University of Delaware, Newark, DE 19716, USA
Seung Nam Seo
Affiliation:
Department of Civil Engineering, University of Delaware, Newark, DE 19716, USA
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Abstract

Several methods based on matched eigenfunction expansions are developed to study the diffraction of a linear, steady train of waves in finite water depth by a combination of straight depth discontinuities and colinear vortex sheets, where the vortex sheets represent a first approximation to a thin shear layer between regions of dissimilar ambient current velocity. Special attention is paid to the case of a current flowing along a submerged trench, and predictions of reflection and transmission are seen to be highly sensitive to the magnitude and direction of the ambient current.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 176 , March 1987 , pp. 95 - 116
Copyright
© 1987 Cambridge University Press

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