Abstract
Diffraction of a plane progressive wave on a localized rise of arbitrary height of the sea-bed is studied within the framework of general linear theory of eddy-free waves. The solution is selected using finite-difference method. It is shown that the wave velocity field over the bank displays a character of localized disturbances attenuating as distance. Increase in depth intensifies centres of disturbances over the mountain peak. Vertical velocity amplitude in the area of the sea-bed rise may be an order of magnitude larger compared to its background value.
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References
Babu, M. V. and Cherkasov, L. V. Influence of underwater hindrances on the deformation of long waves.Morsk. Gidrofizichek. Isslefov. (1973), No. 2, 5–15.
Cherkasov, L. V.Hydrodynamics of Surface and Internal Waves. Naukova Dumka, Kiev, 1976.
Le Blond, P. and Masisek, L.Waves in the Ocean, Vol. 1. Mir, Moscow, 1981.
Dotesenko, S.F. and Cherkasov, L. V. On the deformation of surface gravitational waves on small unevenness of the floor.Prikl Math. Mech. (1979),43, 639–646.
Golubev, Yu. N., Ivanov, V. F. and Cherkasov, L. V. On the deformation of long waves over under water hills.Morsk. Gidrofiz. Isslefov. (1978) No. 1, 32–43.
Selezov, I. T., Sidorchuk, V. N. and Yakovlev, V. V.,Transformation of Waves in the Shore Zones of Shelf. Naukova Dumka, Kiev, 1983.
Samrsku, A. A.Theory of Differential Digrams. Nauka, Moscow, 1983.
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Golubev, Y.N., Fomin, V.V. & Cherkesov, L.V. Interaction between surface gravitational waves and local rise of sea-bed in the uniform ocean. Soviet Journal of Physical Oceanography 1, 3–9 (1987). https://doi.org/10.1007/BF02198281
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DOI: https://doi.org/10.1007/BF02198281