Set-down computations over an arbitrarily inclined plane bed
A perturbation theory, for waves on a perfect fluid in a wedge-shaped domain, is used to derive integral expressions for set-down valid up to the breaker line for arbitrary wedge angles α. Computations are carried out for a set α = π/2N, (N = 2,3,…,7,15) using a generalized Simpson quadrature and these confirm that existing theory underestimates the set-down by a factor which increases with the wedge angle. Curve fitting techniques are used to deduce a modification of the formula given by Longuet-Higgins and Stewart (1963) which can be universally implemented to estimate set-down just seaward of the breaker line. It is also noted that farther seaward the mean free surface begins to oscillate spatially, and the possible ramifications of this are discussed.
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Document Type: Research Article
Publication date: 1994-11-01
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