Three-Dimensional Edge Waves on Curved Topographies
1979
Shaw, Richard P.
Exact solutions are found to the linearized three dimensional equations for free surface gravity waves trapped against a straight coastline with a variable (perpendicular to the coastline) topography. Three families of topographies are found, one concave upwards and two convex upwards, which will support these edge waves as separable solutions to the original equations. For a given topography, specified by an initial slope, h sub o, a typical water depth, h sub M, and a typical offshore distance, x sub M, solutions are given in terms of the nondimensional parameters, h sub o x sub M/h sub M, and h sub o. The nondimensional frequency, period, vertical wave number, offshore decay rate and topography can be expressed in terms of the single parameter h sub o x sub M/h sub M; the velocities, wave height and alongshore wave number depend on both parameters.
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