Water waves incident on an infinitely long rectangular inlet

Robert A. Dalrymple; P. A. Martin

doi:10.1016/0141-1187(96)00019-3

Water waves incident on an infinitely long rectangular inlet

Robert A. Dalrymple^*, P. A. Martin

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	1-11
Number of pages	11
Journal	Applied Ocean Research
Volume	18
Issue number	1
DOIs	https://doi.org/10.1016/0141-1187(96)00019-3
State	Published - Jan 1 1996

ASJC Scopus subject areas

Ocean Engineering

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abstract = "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.",

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AU - Martin, P. A.

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AB - 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.

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