Surface wave propagation in a channel connecting two basins

Abstract

Surface waves propagating through a channel connecting two basins are both reflected and diffracted. A numerical method is presented to solve the problem for short waves in a rectangular channel of constant depth, based upon the solution of contour integral equations. The numerical effort required is dependent on the total length of the ends of the channel, but not on the channel length, as is the case, on the contrary, for other methods (finite differences and finite elements) that become prohibitive in the short-wave limit. The case of a rectangular channel with length and width in ratio 2∶1 and the internal end partially closed by a jetty is examined in some detail.