Abstract
A mathematical model of seiches is developed for the case of sharp bottom elevation or depression. An effective high-precision numerical and analytical method is applied to determine the natural frequencies and shapes of the lower modes of oscillations. New important hydrodynamic effects of the bottom relief are revealed. The main features of standing waves in a narrow vessel in the presence of sharp bottom elevation are confirmed by laboratory experiments.
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References
L.N. Sretenskii, Theory of Wave Motions of Fluids [in Russian], ONTI, Moscow & Leningrad (1936).
A. Defant, Physical Oceanography. Vol. 2, Pergamon Press, Oxford (1961).
A.B. Rabinovich, “Seiches and Harbor Oscillations,” in: Y.C. Kim (ed.), Handbook of Coastal and Ocean Engineering, World Sci. Publ., Singapore (2009), p. 193.
P.P. Sherstyankin, S.P. Alekseev, A.M. Abramov, K.G. Stavrov, M. de Batist, R. Hus, M. Canals, and J.L. Casamor, “Bathymetric Computer Map of Lake Baikal,” Dokl. Ross. Akad. Nauk 408, 102 (2006).
L.D. Akulenko and S.V. Nesterov, High-Precision Methods in Eigenvalue Problems and their Application, CRC Press, Boca Raton (2005).
V.A. Kalinichenko, “Breaking of FaradayWaves and Jet Launch Formation,” Fluid Dynamics 44(4), 577 (2009).
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Original Russian Text © L.D. Akulenko, V.A. Kalinichenko, S.V. Nesterov, 2012, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2012, Vol. 47, No. 3, pp. 113–121.
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Akulenko, L.D., Kalinichenko, V.A. & Nesterov, S.V. Seiches in a channel with a sharp variation in the bottom relief. Fluid Dyn 47, 387–394 (2012). https://doi.org/10.1134/S001546281203012X
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DOI: https://doi.org/10.1134/S001546281203012X