Journal of Fluid Mechanics

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

James T.  Kirby a1, Robert A.  Dalrymple a2 and Seung Nam  Seo a2
a1 Coastal and Oceanographic Engineering Department, University of Florida, Gainesville, FL 32611, USA
a2 Department of Civil Engineering, University of Delaware, Newark, DE 19716, USA

Article author query
kirby jt   [Google Scholar] 
dalrymple ra   [Google Scholar] 
seo sn   [Google Scholar] 


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.

(Published Online April 21 2006)
(Received December 17 1985)
(Revised July 23 1986)