Obliquely incident linear wave trains encountering an inlet on a straight reflecting shoreline are examined to determine the response of the inlet to the wave forcing. The problem is separated into a symmetric problem and an antisymmetric problem, with respect to the channel centerline. Fourier transforms are used to solve the Helmholtz equation in the ocean and an eigenfunction expansion is used in the channel (which has constant depth and a rectangular cross-section). Matching conditions at the mouth of the inlet provide the matrix equation to be solved for the amplitudes of the wave motions. The amplitudes of the symmetric and antisymmetric wave modes are provided as a function of dimensionless channel width and angle of incidence. Plane wave and long wave approximations are also provided.
ASJC Scopus subject areas
- Ocean Engineering