Resonance Properties of Water Areas Based on Mathematical Modelling Results: A Case of Sevastopol Bays (the Black Sea)

Yu. V. Manilyuk*, A. Yu. Belokon, A. V. Bagaev, Yu. Yu. Yurovsky, D. I. Lazorenko

Marine Hydrophysical Institute of RAS, Sevastopol, Russia

* e-mail: uvmsev@yandex.ru

Abstract

Within linear approximation of the long-wave theory, the paper uses the hydrodynamic numerical model ADCIRC to study resonance properties of the water areas of the Sevastopol bays: Streletskaya, Kruglaya, Kamyshovaya, and Dvoynaya, which includes Kazachya and Solyonaya bays. The calculations were carried out for the water area of each bay separately based on numerical experiments. At the first stage of modelling, waves in the bays water areas were excited by setting red-noise disturbance at the liquid boundary at the bay entrance. At the second stage, free oscillations were calculated under condition of their free passage at the liquid boundary. The resonance periods of the above bays and spatial distribution of the spectral density of sea-level oscillations in their water areas for individual natural modes were determined using spectral analysis. Most of the resonance periods for the Sevastopol bays were in satisfactory agreement with analytical estimates. The use of realistic bathymetry and shoreline profile data in the modelling allowed obtaining additional resonance periods for all the considered bays, which cannot be obtained with analytical estimates. The spectral composition expansion of the resonance modes due to connection of these bays via their entrances was revealed in Dvoynaya Bay, which includes Kazachya and Solyonaya Bays. The spectral density spatial distribution of the main energy-carrying sea level oscillations in Streletskaya, Kruglaya, Kamyshovaya and Dvoynaya Bays was analysed to show that the spectral density peaked mainly in the bay tops. In Dvoynaya Bay, the spectral density maxima manifested in the eastern or western arms (Kazachya or Solyonaya Bays, respectively) depending on which of the arms their natural periods belonged to. The results obtained here can be used in layout designing of hydraulic structures, development of mariculture, planning of wastewater outlets, etc.

Keywords

seiche oscillations, seiche, Sevastopol bays, ADCIRC model, mathematical modelling

Acknowledgments

The study was funded under grant no. 24-27-20076, https://rscf.ru/project/24-27-20076/ of the Russian Science Foundation and Agreement no. 86 as of 19.06.2024 of the Education and Science Department of the City of Sevastopol.

For citation

Manilyuk, Yu.V., Belokon, A.Yu., Bagaev, A.V., Yurovsky, Yu.Yu. and Lazorenko, D.I., 2025. Resonance Properties of Water Areas Based on Mathematical Modelling Results: A Case of Sevastopol Bays (the Black Sea). Ecological Safety of Coastal and Shelf Zones of Sea, (2), pp. 80–98.

References

  1. Manilyuk, Y.V., Lazorenko, D.I. and Fomin, V.V., 2021. Seiche Oscillations in the System of Sevastopol Bays. Water Resources, 48(5), pp. 726–736. https://doi.org/10.1134/S0097807821050122
  2. Rabinovich, A.B., 1993. Long Gravitational Waves in the Ocean: Capture, Resonance, and Radiation. Saint Petersburg: Gidrometeoizdat, 326 p. (in Russian).
  3. Alekseev, D.V., Manilyuk, Yu.V. and Sannikov, V.F., 2017. [Seiche Currents in an Open-Entry Basin]. In: S. O. Papkov, ed., 2017. Applied Problems of Mathematics. Materials XXV of International Scientific and Technical Conference (Sebastopol, September 18–22, 2017). Sevastopol, pp. 109–115 (in Russian).
  4. Dotsenko, S.F. and Ivanov, V.A., 2010. [The Azov-Black Sea Region Nature Catastrophes]. Sevastopol: ECOSI-Gidrofizika, 174 p. (in Russian).
  5. Liu, P.L.-F., Monserrat, S., Marcos, M. and Rabinovich, A.B., 2003. Coupling Between Two Inlets: Оbservation and Modeling. Journal of Geophysical Research: Oceans, 108(C3), 3069. https://doi.org/10.1029/2002JC001478
  6. Manilyuk, Yu.V, Lazorenko, D.I. and Fomin, V.V., 2020. Investigation of Seiche Oscillations in the Adjacent Bays by the Example of the Sevastopol and the Quarantine Bays. Physical Oceanography, 27(3), pp. 242-256. https://doi.org/10.22449/1573-160X-2020-3-242-256
  7. Fomicheva, L.A., Rabinovich, A.B. and Demidov, A.N., 1991. [Sea Level]. In: E. N. Altman and A. I. Simonov, eds., 1991. Hydrometeorology and Hydrochemistry of Seas in the USSR. Vol. IV. Black Sea. Issue 1. Hydrometeorological Conditions. Leningrad: Gidrometeoizdat, pp. 329–354 (in Russian).
  8. Morozov, A.N., Lemeshko, E.M., Shutov, S.A. and Zima, V.V., 2012. Currents in the Sevastopol bay from ADCP-observations (June, 2008). Morskoy Gidrofizicheskiy Zhurnal, (3), pp. 31–43 (in Russian).
  9. Medvedev, I.P., 2018. Tides in the Black Sea: Observations and Numerical Modelling. Pure and Applied Geophysics, 175(6), pp. 1951–1969. https://doi.org/10.1007/s00024-018-1878-x
  10. Goriachkin, Yu.N., Ivanov, V.A., Repetin, L.N. and Khmara, T.N., 2002. [Seiches in Sevastopol Bay]. In: UHMI, 2002. Trudy UkrNIGMI = Proceedings of UHMI. Kiev: UHMI. Vol. 250, pp. 342-353 (in Russian).
  11. Manilyuk, Yu.V., Fomin, V.V., Yurovsky, Yu.Yu. and Bagaev, A.V., 2024. Sea Level Oscillations Spectra of a Shallow Coastal Bay: Cost-Effective Measurements and Numerical Modelling in Kruglaya Bay. Regional Studies in Marine Science, 69, 103326. https://doi.org/10.1016/j.rsma.2023.103326
  12. Manilyuk, Yu.V., Lazorenko, D.I., Fomin, V.V. and Alekseev, D.V., 2023. Study of Seiche Oscillation Regimes in Sevastopol Bay. Oceanology, 63(6), pp. 796–805. https://doi.org/10.1134/s0001437023060115
  13. Balinec, N.A. and Khmara, T.V., 2006. Phenomena of Harbor Seiches in the Sevastopol Bays. Ecological Safety of Coastal and Shelf Zones and Comprehensive Use of Shelf Resources, 14, pp. 204‒208 (in Russian).
  14. Fomin, V.V., Lazorenko, D.I. and Ivancha, E.V., 2017. Numerical Simulation of Seiches in the Balaklava Bay. Ecological Safety of Coastal and Shelf Zones of Sea, (3), pp. 32–39 (in Russian).
  15. Rabinovich, A.B., Monserrat, S. and Fain, I.V., 1999. Numerical Modeling of Extreme Seiche Oscillations in the Region of the Balearic Islands. Oceanology, 39(1), pp. 12–19.
  16. Belokon, A.Y. and Lazorenko, D.I., 2024. Energy Spectra of Sea Level Fluctuations During Propagation Long Waves in Branched Bays. In: V. Karev, ed., 2024. Proceedings of the 9th International Conference on Physical and Mathematical Modelling of Earth and Environmental Processes 2023. Springer Proceedings in Earth and Environmental Sciences. Cham: Springer, pp. 471–484. https://doi.org/10.1007/978-3-031-54589-4_49
  17. Ivanov, V.A., Manilyuk, Yu.V., Sannikov, V.F., 2018. Seiches in a Basin with an Open Entrance. Journal of Applied Mechanics and Technical Physics, 59(4), pp. 594–600. https://doi.org/10.1134/S0021894418040041

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