Abstract
Within the framework of a linear model of long waves in a two-layer ocean, we obtain the analytic solution of the problem of evolution of an axially symmetric initial displacement of the jump of density. In the process of adaptation of the fields, internal waves in the form of a decaying (in time) wave packet are emitted from the zone of initial perturbation. These waves are quasiinertial and their dispersion is conditioned by Earth’s rotation. We study the time evolution of the wave packet and the dependence of its characteristics on the width of the zone of initial perturbation and the depth of the jump of density.
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References
T. Ya. Sekerzh-Zen’kovich, “On the propagation of initial perturbations along the free surface and along the interface of two layers with different densities in a liquid,” Tr. Mosk. Geogr. Inst. AN SSSR, 17, 48–58 (1959).
V. S. Fedosenko and L. V. Cherkesov, “On the internal waves from underwater seaquakes,” Izv. Akad. Nauk SSSR, Fiz. Atmosf. Okeana, 4, No. 11, 1197–1203 (1968).
Yu. Z. Miropol’skii, Dynamics of Internal Gravitational Waves in the Ocean [in Russian], Gidrometeoizdat, Leningrad (1981).
S. F. Dotsenko, “Evolution of initial disturbances in a continuously stratified fluid,” Izv. Akad. Nauk SSSR, Fiz. Atmosf. Okeana, 20, No. 3, 285–294 (1984).
V. S. Maderich, V. I. Nikishov, and A. G. Stetsenko, Dynamics of Internal Mixing in a Stratified Medium [in Russian], Naukova Dumka, Kiev (1988).
S. F. Dotsenko, B. Yu. Sergeevskii, and L. V. Cherkesov, “Evolution of axisymmetric waves in a stratified ocean,” in: Evolution of Tsunamis from the Source to the Coast [in Russian], Radio i Svyaz’, Moscow (1982).
S. F. Dotsenko, “Tsunami waves in a continuously stratified ocean for the mean hydrological conditions of the Kurily-Kamchatka region,” Issl. Tsun., No. 1, 63–72 (1986).
A. S. Monin, V. M. Kamenkovich, and V. G. Kort, Variability of the World Ocean [in Russian], Gidrometeoizdat, Leningrad (1974).
P. K. Kundu, “An analysis of inertial oscillations observed near Oregon coast,” J. Phys. Oceanogr., 6, No. 6, 879–893 (1976).
S. F. Dotsenko, “Gyroscopic waves in a continuously stratified ocean,” Izv. Akad. Nauk SSSR, Fiz. Atmosf. Okeana, 29, No. 2, 229–236 (1993).
B. Cushman-Roisin, W. H. Heil, and D. Nof, “Oscillations and rotations of elliptical warm-core rings,” J. Geophys. Res., 90, No. C6, 11,756–11,764 (1985).
A. Rubino, K. Hessner, and P. Brandt, “The decay of stable frontal warm-core eddies in a layered frontal model,” J. Phys. Oceanogr., 32, No. 1, 188–201 (2002).
A. Rubino and P. Brandt, “Warm-core eddies studied by laboratory experiments and numerical modeling, ” J. Phys. Oceanogr., 32, No. 2, 431–435 (2002).
A. Rubino, S. Dotsenko, and P. Brandt, “Near-inertial oscillations of geophysical surface frontal currents,” J. Phys. Oceanogr., 32, No. 9, 1990–1999 (2002).
S. F. Dotsenko and Yu. I. Shokin, “Conditions of generation of eddy fields in the origins of tsunamis,” Vychisl. Tekhnol., 2, No. 2, 48–54 (1997).
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Translated from Morskoi Gidrofizicheskii Zhurnal, No. 2, pp. 12–23, March–April, 2006.
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Dotsenko, S.F. Generation of quasiinertial internal waves in the process of evolution of local perturbations in the ocean. Phys Oceanogr 16, 77–88 (2006). https://doi.org/10.1007/s11110-006-0017-x
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DOI: https://doi.org/10.1007/s11110-006-0017-x