Excitation of Internal Waves in a Shallow Sea Basin with an Open Inlet under Conditions of Parametric Resonance

V. V. Novotryasov

V. I. Il’ichev Pacific Oceanological Institute, Far Eastern Branch of RAS, Vladivostok, Russian Federation

e-mail: vadimnov@poi.dvo.ru

Abstract

Purpose. The purpose of the study is to show (using the in situ measurement data) that in autumn under parametric resonance conditions, internal waves (IW) are excited in Posyet Bay under the influence of seiche vibrations of its level.

Methods and Results. The spectral analysis methods have revealed a number of IW frequencies close to those of the most intensive seiche vibrations of the bay. The Mathieu equation was obtained and analyzed for the horizontal component of IW orbital velocity. For the conditions for observing IW, the necessary and sufficient conditions for implementing the parametric resonance in the model basin approximating Posyet Bay, were formulated. Verification of these conditions has shown that in autumn both necessary and sufficient conditions of the parametric resonance between the IW and sea level seiche vibrations are fulfilled in the bay.

Conclusions. The experimental data indicate that in the autumn season a number of IW frequencies are close to those of free oscillations of the sea level in Posyet Bay. It is shown that the barotropic currents induced by seiche vibrations can excite internal waves by means of parametric resonance.

Keywords

seiches, barotropic wave current, Posyet Bay, internal waves, parametric instability, parametric resonance

Acknowledgements

The work was carried out within the framework of state assignment of POI FEB RAS (theme No. 1240-2210-0072-5).

Original russian text

Original Russian Text © V. V. Novotryasov, 2024, published in MORSKOY GIDROFIZICHESKIY ZHURNAL, Vol. 40, Iss. 5 (2024)

For citation

Novotryasov, V.V., 2024. Excitation of Internal Waves in a Shallow Sea Basin with an Open Inlet under Conditions of Parametric Resonance. Physical Oceanography, 31(5), pp. 647-661.

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