Research Article
Feb 1969

Weak Reflection of Water Waves by Bottom Obstacles

Publication: Journal of the Engineering Mechanics Division
Volume 95, Issue 1

Abstract

For a gradually varying bottom, an approximate theory is developed for the calculation of scattering properties of two-dimensional water waves. An integral representation is first formed with the help of a Green's function. An iterative solution is then obtained by using Rayleigh's wave shoaling equation as the first approximation. The reflection coefficient is found to depend on the smoothness of the obstacle; more abrupt depth changes at the ends cause stronger wave interference. For obstacles with a flat top it is found that under certain conditions only the sloping ends are responsible for wave scattering.

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Journal of the Engineering Mechanics Division
Volume 95Issue 1February 1969
Pages: 183 - 194

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Published in print: Feb 1969
Published online: Feb 3, 2021

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Chiang C. Mei, M.ASCE
Assoc. Prof. of Civ. Engrg., Mass. Inst. of Tech., Cambridge, Mass.

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