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Zbl 0921.76021
Zhu, Songping; Zhang, Yinglong
Scattering of long waves around a circular island mounted on a conical shoal. (English)
[J] Wave Motion 23, No.4, 353-362 (1996). ISSN 0165-2125

Summary: Scattering of simple harmonic long waves by a cylindrical island mounted on a canonical shoal in a otherwise open sea of constant depth is solved analytically based on the shallow-water wave (long-wave) theory. The new analytical solution not only confirms some conclusions and conjectures previously drawn from purely numerical studies, such as those showing how the slope of the shoal affects the amplification of the ocean waves around the coastline of islands, but also provides another useful check for numerical model developers.

MSC 2000:: *76B15 Wave motions (fluid mechanics)
86A05 Hydrology, hydrography, oceanography

Keywords: shallow-water wave theory; amplification of ocean waves; harmonic long waves

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