Weak Reflection of Water Waves by Bottom Obstacles

by Chiang C. Mei,

Serial Information: Journal of the Engineering Mechanics Division, 1969, Vol. 95, Issue 1, Pg. 183-194

Document Type: Journal Paper

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.

Subject Headings: Water waves | Wave equations | Wave shoaling | Wave reflection | Integrals | Greens function | Rayleigh waves | Approximation methods |

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