THE INTERACTION OF DEEP-WATER GRAVITY WAVES AND A CURVED SHEARING CURRENT

Marius Gerber

Abstract


The interaction of steady deep-water gravity waves with a preexisting large-scale curved current has been investigated. In order to investigate the influence of the curvature of the current on the wave field, the current field was represented by a section of an annular current with a particular non-dimensional radius R. As a first approximation the interaction of a family of linear axi-symmetrical waves and the current was investigated. Exact linear ray solutions were obtained which, in the limit when R - «>, reduce to the analytical straight current solutions of Longuet- Higgins and Stewart (1961).

Keywords


deep water; gravity wave; current; curved shearing current

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