Abstract
The paper analyses the effect of non-linearity and bottom friction on propagation of tsunami-type surface waves from the abyssal part of the Black Sea towards the shelf zone. The study relies, on numerical solution of unidimensional non-linear equations for long waves, using the finite-difference technique. Numerical experiments have been conducted for the bottom profile continental slope and shelf, with the full wave reflection being prescribed at a 10-m depth contour. It has been shown that the major role in transforming solitary waves belongs to non-linear topographic factors rather than to dissipation. The reflected wave has been found to be non-linearly distorted, and wave heights in the Black Sea coastal zone have been found to increase by many times.
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References
Voltsinger, N. E. and Pyaskovsky, R. V.Fundamental Oceanographic Problems from Shallow Water, Theory. Leningrad: Gidrometeoizdat (1968).
Cherkesov, L. V.Surface and Internal Waves. Kiev: Naukova Dumka (1973).
Pelinovsky, E. N.Non-linear Dynamics of Tsunami Waves Gorky: Inst. Appl. Phys. (1982).
Marchuk, A. G., Chubarov, L. B. and Shokin, Yu. I.Numerical Modelling of Tsunami Waves. Novosibirsk: Nauka (1983).
Shokin, Yu. I., Chubarov, L. B., Marchuk, A. G.et al. Numerical Experimentation in the Tsunami Problem. Novosibirsk: Nauka (1989).
Volsinger, N. E., Klevanny, K. A. and Pelinovsky, E. N.Long-wave Dynamics of Coastal Zone. Leningrad: Gidrometeoizdat (1989).
Chekunov, A. V. Seismic emission and different-floor tectonics in the Black Sea region.Dokl. Akad. Nauk Ukr. SSR, Ser. B (1990) No. 11, 27–31.
Pustovitenko, B. G. and Kulchitsky, V. E. Seismicity of the Black Sea trough.Geophys. J. (1991) No. 3, 14–19.
Grigorash, Z. K. Black Sea tsunamis of 1927 as recorded by tide gauges.Trudy MGI (1959),17, 59–67.
Grigorash, Z. K. Survey of tide gauge records of some tsunamis in the Black Sea.Trudy Sakh. Res. Inst. (1972)29, 271–278.
Dotsenko, S. F. Numerical analysis of the transformation of tsunami waves in the South Crimea shelf area.Phys. Oceanogr. (1998)9, 249–258.
Dotsenko, S. F. Radiation of long waves from the Black Sea seismic zones.Phys. Oceanogr. (1996)7, 315–320.
Dotsenko, S. F. and Konovalov, A. V. Tsunami, waves in the Black Sea in 1927: observations and numerical modelling.Phys. Oceanogr. (1996)7, 398–401.
Wizem, J.Linear and Non-linear Waves. Moscow: Mir (1977).
Zheleznyak, M. I. The impact of long waves upon continuous vertical barriers. In:On-roll of Tsunamis over Shore. Gorky: Inst. Appl. Phys. (1985), pp. 122–139.
Klevanny, K. A. and Pelinovsky, E. N. Impact of non-linear dissipation upon the propagation of tsunami waves.Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana (1978)14, 1074–1078.
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Translated by Vladimir A. Puchkin.
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Dotsenko, S.F. Numerical modelling of the propagation of tsunami waves in the crimean peninsula shelf zone. Phys. Oceanogr. 9, 323–331 (1998). https://doi.org/10.1007/BF02522727
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DOI: https://doi.org/10.1007/BF02522727