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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">Ecological Safety of Coastal and Shelf Zones of Sea</journal-id>
      <journal-title-group>
        <journal-title>Ecological Safety of Coastal and Shelf Zones of Sea</journal-title>
      </journal-title-group>
      <issn publication-format="print">2413-5577</issn>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="publisher-id">20250206</article-id>

      <article-categories>
        <subj-group subj-group-type="article-type">
          <subject>Research Article</subject>
        </subj-group>
      </article-categories>

      <title-group>
        <article-title>Resonance Properties of Water Areas Based on Mathematical Modelling Results: A Case of Sevastopol Bays (the Black Sea)</article-title>
      </title-group>

      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Manilyuk</surname>
            <given-names>Yu. V.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>umvsev@yandex.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Belokon</surname>
            <given-names>A. Yu.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>a.bazykina@mhi-ras.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Bagaev</surname>
            <given-names>A. V.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>a.bagaev1984@mhi-ras.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Yurovsky</surname>
            <given-names>Yu. Yu.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>y.yurovsky@mhi-ras.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Lazorenko</surname>
            <given-names>D. I.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>d.lazorenko.dntmm@gmail.com</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
      </contrib-group>

      <aff id="aff1">
        <institution>Marine Hydrophysical Institute of RAS</institution>
        <addr-line>Sevastopol</addr-line>
        <country country="RU">Russia</country>
      </aff>

      <pub-date date-type="pub" iso-8601-date="2025-06-30" publication-format="electronic">
        <day>30</day>
        <month>06</month>
        <year>2025</year>
      </pub-date>
      <volume>2025</volume>
      <issue>2</issue>
      <fpage>80</fpage>
      <lpage>98</lpage>

      <history>
        <date date-type="received" iso-8601-date="2024-09-18">
          <day>18</day>
          <month>09</month>
          <year>2024</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2025-03-25">
          <day>25</day>
          <month>03</month>
          <year>2025</year>
        </date>
        <date date-type="accepted" iso-8601-date="2024-12-23">
          <day>23</day>
          <month>12</month>
          <year>2024</year>
        </date>
      </history>

      <permissions>
        <copyright-statement>Copyright © 2025, Yu. V. Manilyuk, A. Yu. Belokon, A. V. Bagaev, Yu. Yu. Yurovsky, D. I. Lazorenko</copyright-statement>
        <copyright-year>2025</copyright-year>
        <copyright-holder>Yu. V. Manilyuk, A. Yu. Belokon, A. V. Bagaev, Yu. Yu. Yurovsky, D. I. Lazorenko</copyright-holder>
        <ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/>
        <license>
          <ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://creativecommons.org/licenses/by-nc/4.0/</ali:license_ref>
        </license>
      </permissions>
      <self-uri xlink:href="https://ecological-safety.ru/en/repository/issues/2025/02/06/" xlink:title="Page of article">https://ecological-safety.ru/en/repository/issues/2025/02/06/</self-uri>

      <abstract>
        <p>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.</p>
      </abstract>

      <kwd-group>
        <kwd>seiche oscillations</kwd>
        <kwd>seiche</kwd>
        <kwd>Sevastopol bays</kwd>
        <kwd>ADCIRC model</kwd>
        <kwd>mathematical modelling</kwd>
      </kwd-group>

      <funding-group>
        <funding-statement>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.</funding-statement>
      </funding-group>

      <author-notes>
        <p><bold>About the authors:</bold></p>
        <p><bold>Yuri V. Manilyuk</bold>, Research Associate, Wave Theory Department, Marine Hydrophysical Institute of RAS (2 Kapitanskaya St., Sevastopol, 299011, Russian Federation), PhD (Phys.-Math.), ORCID ID: 0000-0002-5752-7562, ResearcherID: P-6662-2017, Scopus Author ID: 6602563261, <email>umvsev@yandex.ru</email></p>
        <p><bold>Aleksandra Yu. Belokon</bold>, Senior Research Associate, Department of Computational Technologies and Computational Modeling, Marine Hydrophysical Institute of RAS (2 Kapitanskaya St., Sevastopol, 299011, Russian Federation), PhD (Phys.-Math.), ORCID ID: 0000-0002-1299-0983, ResearcherID: M-6839-2018, <email>a.bazykina@mhi-ras.ru</email></p>
        <p><bold>Andrei V. Bagaev</bold>, Leading Research Associate, Marine Hydrophysical Institute of RAS (2 Kapitanskaya St., 299011, Sevastopol, Russian Federation), PhD (Phys.-Math.), ORCID ID: 0000-0003-4018-7642, ResearcherID: K-5373-2016, <email>a.bagaev1984@mhi-ras.ru</email></p>
        <p><bold>Yury Yu. Yurovsky</bold>, Leading Research Associate, Head of the Applied Marine Physics Laboratory, Marine Hydrophysical Institute of RAS (2 Kapitanskaya St., Sevastopol, 299011, Russian Federation), PhD (Phys.-Math.), Scopus Author ID: 24377122700, ORCID ID: 0000-0002-9995-3965, ResearcherID: F-8907-2014, <email>y.yurovsky@mhi-ras.ru</email></p>
        <p><bold>Dmitry I. Lazorenko</bold>, Research Associate, Marine Hydrophysical Institute of RAS (2 Kapitanskaya St., Sevastopol, 299011, Russian Federation), PhD (Tech.), ORCID ID: 0000-0001-7524-565X, ResearcherID: J-1925-2015, <email>d.lazorenko.dntmm@gmail.com</email></p>
        <p><bold>Contribution of the authors:</bold></p>
        <p><bold>Yuri V. Manilyuk</bold> – statement of the problem, review of literature on the research problem, description of the research results, implementation of numerical experiments, analysis of the modeling results, writing the text of the article</p>
        <p><bold>Aleksandra Yu. Belokon</bold> – review of literature on the research problem, processing and description of the results of mathematical modeling, writing the text of the article, preparing graphic materials</p>
        <p><bold>Andrei V. Bagaev</bold> – processing and analysis of modeling results, preparation of the text of the article</p>
        <p><bold>Yury Yu. Yurovsky</bold> – processing and analysis of modeling results, preparation of the text of the article</p>
        <p><bold>Dmitry I. Lazorenko</bold> – preparation of input parameters for mathematical modeling, performing numerical experiments</p>
        <p><italic>All the authors have read and approved the final manuscript.</italic></p>
      </author-notes>
    </article-meta>
  </front>

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