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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
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

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
Copyright
© 1987 Cambridge University Press

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