Nonlinear Internal Waves in Multilayer Shallow Water
V. Yu. Lyapidevskii1,2, M. V. Turbin2, F. F. Khrapchenkov2,3, V. F. Kukarin4
1Lavrentyer Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
2Voronezh State University, Voronezh, 394018, Russia
3V.I. Il'ichev Pacific Oceanological Institute, Far Eastern Branch Russian Academy of Science, Vladivostok, 690041, Russia
4Nikolaev Institute of Inorganic Chemistry Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Keywords: многослойная мелкая вода, внутренние волны, волновой бор, натурный эксперимент, multilayer shallow water, internal waves, wave bore, field experiment
Abstract
Within the framework of the second approximation of the shallow water theory, the flow of a multilayer fluid stratified in density is under study. A mathematical model for the propagation of near-bottom and near-surface large-amplitude internal waves is constructed, taking into account the influence of the fine structure of thermocline (pycnocline). Using the resulting solutions describing the propagation of solitary waves and wave bores, field data are interpreted.
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