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  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">Physical Oceanography</journal-id>
      <journal-title-group>
        <journal-title xml:lang="en">Physical Oceanography</journal-title>
      </journal-title-group>
      <issn publication-format="print">1573-160X</issn>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="publisher-id">20230304</article-id>
      
      <article-categories>
        <subj-group subj-group-type="toc-heading" xml:lang="en">
          <subject>Analysis of observations and methods of calculating hydrophysical fields in the ocean</subject>
        </subj-group>
        <subj-group subj-group-type="article-type">
          <subject>Research Article</subject>
        </subj-group>
      </article-categories>

      <title-group>
        <article-title xml:lang="en">Features and Reasons for Spatial Heterogeneity of Mechanical Energy Flows in the Black Sea</article-title>
      </title-group>

      <contrib-group>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-2098-5068</contrib-id>
          <contrib-id contrib-id-type="researcherid">R-4908-2018</contrib-id>
          <name>
            <surname>Pavlushin</surname>
            <given-names>A. A.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>pavlushin@mhi-ras.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
      </contrib-group>

      <aff id="aff1">
        <institution>Marine Hydrophysical Institute of RAS</institution>
        <addr-line>2 Kapitanskaya Str.</addr-line>
        <city>Sevastopol</city>
        <post-code>299011</post-code>
        <country country="RU">Russian Federation</country>
      </aff>

      <pub-date date-type="pub" iso-8601-date="2023-06-30" publication-format="electronic">
        <day>30</day>
        <month>06</month>
        <year>2023</year>
      </pub-date>
      <volume>30</volume>
      <issue>3</issue>
      <fpage>302</fpage>
      <lpage>314</lpage>

      <history>
        <date date-type="received" iso-8601-date="2022-08-04">
          <day>04</day>
          <month>08</month>
          <year>2022</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2022-11-23">
          <day>23</day>
          <month>11</month>
          <year>2022</year>
        </date>
        <date date-type="accepted" iso-8601-date="2023-03-09">
          <day>09</day>
          <month>03</month>
          <year>2023</year>
        </date>
      </history>

      <permissions>
        <copyright-statement xml:lang="en">Copyright ©; 2023, A. A. Pavlushin</copyright-statement>
        <copyright-year>2023</copyright-year>
        <copyright-holder xml:lang="en">A. A. Pavlushin</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://physical-oceanography.ru/repository/issues/2023/03/04/" xlink:title="Article page">https://physical-oceanography.ru/repository/issues/2023/03/04/</self-uri>

      <abstract xml:lang="en">
        <p><bold>Purpose.</bold> The work is aimed at determining the reasons for the spatial inhomogeneity of mechanical energy flows that arise during formation and evolution of the large-scale currents in the Black Sea. The uneven distribution of energy flows over the sea area was revealed in the analysis of time-averaged fields of the energy characteristics resulted from numerical simulation.</p>
        <p><bold>Methods and Results.</bold> The data of numerical experiments performed using the two-layer eddy-resolving model permitted to calculate the energy balance components in the eastern and western parts of the Black Sea. Averaging the energy characteristics over time and area within the selected areas made it possible to construct an integrated circuit of mechanical energy flows. To confirm the hypothesis on influence of the β-effect on the redistribution of energy flows, an additional experiment including the constant Coriolis parameter was carried out, and the energy balances were calculated by the method similar to the one applied in the first experiment.</p>
        <p><bold>Conclusions.</bold> It is revealed that under the impact of the β-effect, the energy flows are redistributed over the Black Sea basin area. In the eastern half of the sea, currents are pumped with wind energy and there is the process of formation of potential energy, which later, due to advection, is transferred to the west by the currents. In the western part of the sea, the potential energy that had been transported from the eastern half of the basin is converted into the kinetic energy of currents, a significant part of which dissipates due to bottom friction and horizontal turbulent viscosity. The rest of the kinetic energy is transported back to the basin eastern part by the current in the sea upper layer, where it again participates in the process of forming the potential energy.</p>
      </abstract>

      <kwd-group>
        <kwd>Black Sea</kwd>
        <kwd>energy balance</kwd>
        <kwd>energy conversions</kwd>
        <kwd>large-scale circulation</kwd>
        <kwd>β-effect</kwd>
        <kwd>Rossby waves</kwd>
      </kwd-group>

      <funding-group>
        <funding-statement xml:lang="en">The study was carried out within the framework of the state assignment on theme FNNN-2021-0003 "Development of operational oceanology methods based on interdisciplinary research of the processes of marine environment formation and evolution, and mathematical modeling using the data of remote and contact measurements".</funding-statement>
      </funding-group>
    </article-meta>
  </front>

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    <p>Article text not included.</p>
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  <back>
    <ref-list>
      <title>REFERENCES</title>
      
      <ref id="B1">
        <label>1.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Demyshev</surname><given-names>S.G.</given-names></name>
            <name><surname>Dymova</surname><given-names>O.A.</given-names></name>
          </person-group>
          <article-title>Analyzing Intraannual Variations in the Energy Characteristics of Circulation in the Black Sea</article-title>
          <source>Izvestiya, Atmospheric and Oceanic Physics</source>
          <year>2016</year>
          <volume>52</volume>
          <issue>4</issue>
          <fpage>386</fpage>
          <lpage>393</lpage>
          <pub-id pub-id-type="doi">10.1134/S0001433816040046</pub-id>
        </element-citation>
      </ref>

      <ref id="B2">
        <label>2.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Demyshev</surname><given-names>S.G.</given-names></name>
            <name><surname>Dymova</surname><given-names>O.A.</given-names></name>
          </person-group>
          <article-title>Numerical Analysis of the Black Sea Energy Budget in 2011</article-title>
          <source>Journal of Physics: Conference Series</source>
          <year>2017</year>
          <volume>899</volume>
          <issue>2</issue>
          <fpage>022004</fpage>
          <pub-id pub-id-type="doi">10.1088/1742-6596/899/2/022004</pub-id>
        </element-citation>
      </ref>

      <ref id="B3">
        <label>3.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Kang</surname><given-names>D.</given-names></name>
            <name><surname>Curchitser</surname><given-names>E.N.</given-names></name>
          </person-group>
          <article-title>Energetics of Eddy-Mean Flow Interactions in the Gulf Stream Region</article-title>
          <source>Journal of Physical Oceanography</source>
          <year>2015</year>
          <volume>45</volume>
          <issue>4</issue>
          <fpage>1103</fpage>
          <lpage>1120</lpage>
          <pub-id pub-id-type="doi">10.1175/JPO-D-14-0200.1</pub-id>
        </element-citation>
      </ref>

      <ref id="B4">
        <label>4.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Travkin</surname><given-names>V.S.</given-names></name>
            <name><surname>Zhmur</surname><given-names>V.V.</given-names></name>
            <name><surname>Belonenko</surname><given-names>T.V.</given-names></name>
          </person-group>
          <article-title>Contribution of Mesoscale Eddies to Energy of the Lofoten Basin</article-title>
          <source>Russian Journal of Earth Sciences</source>
          <year>2022</year>
          <volume>22</volume>
          <issue>4</issue>
          <fpage>ES4002</fpage>
          <pub-id pub-id-type="doi">10.2205/2022ES000802</pub-id>
          <comment>(in Russian)</comment>
        </element-citation>
      </ref>

      <ref id="B5">
        <label>5.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Chen</surname><given-names>R.</given-names></name>
            <name><surname>Thompson</surname><given-names>A.F.</given-names></name>
            <name><surname>Flierl</surname><given-names>G.R.</given-names></name>
          </person-group>
          <article-title>Time-Dependent Eddy-Mean Energy Diagrams and Their Application to the Ocean</article-title>
          <source>Journal of Physical Oceanography</source>
          <year>2016</year>
          <volume>46</volume>
          <issue>9</issue>
          <fpage>2827</fpage>
          <lpage>2850</lpage>
          <pub-id pub-id-type="doi">10.1175/JPO-D-16-0012.1</pub-id>
        </element-citation>
      </ref>

      <ref id="B6">
        <label>6.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Demyshev</surname><given-names>S.G.</given-names></name>
            <name><surname>Dymova</surname><given-names>O.A.</given-names></name>
          </person-group>
          <article-title>Numerical Analysis of the Black Sea Currents and Mesoscale Eddies in 2006 and 2011</article-title>
          <source>Ocean Dynamics</source>
          <year>2018</year>
          <volume>68</volume>
          <issue>10</issue>
          <fpage>1335</fpage>
          <lpage>1352</lpage>
          <pub-id pub-id-type="doi">10.1007/s10236-018-1200-6</pub-id>
        </element-citation>
      </ref>

      <ref id="B7">
        <label>7.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Demyshev</surname><given-names>S.G.</given-names></name>
            <name><surname>Dymova</surname><given-names>O.A.</given-names></name>
          </person-group>
          <article-title>Analysis of the Lorenz Energy Cycle for Different Regimes of the Black Sea Circulation</article-title>
          <source>Transactions of the Karelian Research Centre RAS</source>
          <year>2022</year>
          <issue>6</issue>
          <fpage>26</fpage>
          <lpage>40</lpage>
          <pub-id pub-id-type="doi">10.17076/lim1621</pub-id>
          <comment>(in Russian)</comment>
        </element-citation>
      </ref>

      <ref id="B8">
        <label>8.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Pavlushin</surname><given-names>A.A.</given-names></name>
            <name><surname>Shapiro</surname><given-names>N.B.</given-names></name>
            <name><surname>Mikhailova</surname><given-names>E.N.</given-names></name>
          </person-group>
          <article-title>Energy Transitions in the Two-Layer Eddy-Resolving Model of the Black Sea</article-title>
          <source>Physical Oceanography</source>
          <year>2019</year>
          <volume>26</volume>
          <issue>3</issue>
          <fpage>185</fpage>
          <lpage>201</lpage>
          <pub-id pub-id-type="doi">10.22449/1573-160X-2019-3-185-201</pub-id>
        </element-citation>
      </ref>

      <ref id="B9">
        <label>9.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Oey</surname><given-names>L.-Y.</given-names></name>
          </person-group>
          <article-title>Loop Current and Deep Eddies</article-title>
          <source>Journal of Physical Oceanography</source>
          <year>2008</year>
          <volume>38</volume>
          <issue>7</issue>
          <fpage>1426</fpage>
          <lpage>1429</lpage>
          <pub-id pub-id-type="doi">10.1175/2007JPO3818.1</pub-id>
        </element-citation>
      </ref>

      <ref id="B10">
        <label>10.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Capet</surname><given-names>X.</given-names></name>
            <name><surname>McWilliams</surname><given-names>J.C.</given-names></name>
            <name><surname>Molemaker</surname><given-names>M.J.</given-names></name>
            <name><surname>Shchepetkin</surname><given-names>A.F.</given-names></name>
          </person-group>
          <article-title>Mesoscale to Submesoscale Transition in the California Current System. Part II: Frontal Processes</article-title>
          <source>Journal of Physical Oceanography</source>
          <year>2008</year>
          <volume>38</volume>
          <issue>1</issue>
          <fpage>44</fpage>
          <lpage>64</lpage>
          <pub-id pub-id-type="doi">10.1175/2007JPO3672.1</pub-id>
        </element-citation>
      </ref>

      <ref id="B11">
        <label>11.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Puzina</surname><given-names>O.S.</given-names></name>
            <name><surname>Kubryakov</surname><given-names>A.A.</given-names></name>
            <name><surname>Mizyuk</surname><given-names>A.I.</given-names></name>
          </person-group>
          <article-title>Seasonal and Vertical Variability of Currents Energy in the Sub-Mesoscale Range on the Black Sea Shelf and in Its Central Part</article-title>
          <source>Physical Oceanography</source>
          <year>2021</year>
          <volume>28</volume>
          <issue>1</issue>
          <fpage>37</fpage>
          <lpage>51</lpage>
          <pub-id pub-id-type="doi">10.22449/1573-160X-2021-1-37-51</pub-id>
        </element-citation>
      </ref>

      <ref id="B12">
        <label>12.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Pavlushin</surname><given-names>A.A.</given-names></name>
            <name><surname>Shapiro</surname><given-names>N.B.</given-names></name>
            <name><surname>Mikhailova</surname><given-names>E.N.</given-names></name>
          </person-group>
          <article-title>The Role of the Bottom Relief and the β-effect in the Black Sea Dynamics</article-title>
          <source>Physical Oceanography</source>
          <year>2017</year>
          <issue>6</issue>
          <fpage>24</fpage>
          <lpage>35</lpage>
          <pub-id pub-id-type="doi">10.22449/1573-160X-2017-6-24-35</pub-id>
        </element-citation>
      </ref>

      <ref id="B13">
        <label>13.</label>
        <element-citation publication-type="book">
          <person-group person-group-type="author">
            <name><surname>Pavlushin</surname><given-names>A.A.</given-names></name>
          </person-group>
          <chapter-title>Numerical Modeling of the Large-Scale Circulation and Mesoscale Eddies in the Black Sea</chapter-title>
          <source>SOI Proceedings</source>
          <publisher-loc>Moscow</publisher-loc>
          <publisher-name>SOI</publisher-name>
          <year>2018</year>
          <issue>219</issue>
          <fpage>174</fpage>
          <lpage>194</lpage>
          <comment>(in Russian)</comment>
        </element-citation>
      </ref>

      <ref id="B14">
        <label>14.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Korotenko</surname><given-names>K.A.</given-names></name>
          </person-group>
          <article-title>Modeling Mesoscale Circulation of the Black Sea</article-title>
          <source>Oceanology</source>
          <year>2015</year>
          <volume>55</volume>
          <issue>6</issue>
          <fpage>820</fpage>
          <lpage>826</lpage>
          <pub-id pub-id-type="doi">10.1134/S0001437015060077</pub-id>
        </element-citation>
      </ref>

      <ref id="B15">
        <label>15.</label>
        <element-citation publication-type="book">
          <person-group person-group-type="author">
            <name><surname>Zatsepin</surname><given-names>A.G.</given-names></name>
            <name><surname>Kremenetskiy</surname><given-names>V.V.</given-names></name>
            <name><surname>Stanichny</surname><given-names>S.V.</given-names></name>
            <name><surname>Burdyugov</surname><given-names>V.M.</given-names></name>
          </person-group>
          <chapter-title>Black Sea Basin-Scale Circulation and Mesoscale Dynamics under Wind Forcing</chapter-title>
          <person-group person-group-type="editor">
            <name><surname>Frolov</surname><given-names>A.V.</given-names></name>
            <name><surname>Resnyansky</surname><given-names>Yu.D.</given-names></name>
          </person-group>
          <source>Modern Problems of Ocean and Atmosphere Dynamics. The Pavel S. Lineykin Memorial Volume</source>
          <publisher-loc>Moscow</publisher-loc>
          <publisher-name>TRIADA LTD</publisher-name>
          <year>2010</year>
          <fpage>347</fpage>
          <lpage>368</lpage>
          <comment>(in Russian)</comment>
        </element-citation>
      </ref>

      <ref id="B16">
        <label>16.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Shokurov</surname><given-names>M.V.</given-names></name>
            <name><surname>Shokurova</surname><given-names>I.G.</given-names></name>
          </person-group>
          <article-title>Wind Stress Curl over the Black Sea under Different Wind Regimes</article-title>
          <source>Physical Oceanography</source>
          <year>2017</year>
          <issue>6</issue>
          <fpage>12</fpage>
          <lpage>23</lpage>
          <pub-id pub-id-type="doi">10.22449/1573-160X-2017-6-12-23</pub-id>
        </element-citation>
      </ref>

      <ref id="B17">
        <label>17.</label>
        <element-citation publication-type="book">
          <person-group person-group-type="author">
            <name><surname>Ivanov</surname><given-names>V.A.</given-names></name>
            <name><surname>Belokopytov</surname><given-names>V.N.</given-names></name>
          </person-group>
          <source>Oceanography of Black Sea</source>
          <publisher-loc>Sevastopol</publisher-loc>
          <publisher-name>MHI</publisher-name>
          <year>2013</year>
          <size units="pages">210</size>
        </element-citation>
      </ref>

      <ref id="B18">
        <label>18.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Markova</surname><given-names>N.V.</given-names></name>
            <name><surname>Bagaev</surname><given-names>A.V.</given-names></name>
          </person-group>
          <article-title>The Black Sea Deep Current Velocities Estimated from the Data of Argo Profiling Floats</article-title>
          <source>Physical Oceanography</source>
          <year>2016</year>
          <issue>3</issue>
          <fpage>23</fpage>
          <lpage>35</lpage>
          <pub-id pub-id-type="doi">10.22449/1573-160X-2016-3-23-35</pub-id>
        </element-citation>
      </ref>

      <ref id="B19">
        <label>19.</label>
        <element-citation publication-type="book">
          <person-group person-group-type="author">
            <name><surname>Pedlosky</surname><given-names>J.</given-names></name>
          </person-group>
          <source>Geophysical Fluid Dynamics</source>
          <publisher-loc>New York</publisher-loc>
          <publisher-name>Springer</publisher-name>
          <year>1987</year>
          <size units="pages">710</size>
          <pub-id pub-id-type="doi">10.1007/978-1-4612-4650-3</pub-id>
        </element-citation>
      </ref>

      <ref id="B20">
        <label>20.</label>
        <element-citation publication-type="book">
          <person-group person-group-type="author">
            <name><surname>Gill</surname><given-names>A.E.</given-names></name>
          </person-group>
          <source>Atmosphere-Ocean Dynamics</source>
          <publisher-loc>New York</publisher-loc>
          <publisher-name>Academic Press</publisher-name>
          <year>1982</year>
          <size units="pages">662</size>
          <pub-id pub-id-type="doi">10.1016/s0074-6142(08)x6002-4</pub-id>
        </element-citation>
      </ref>
    </ref-list>
  </back>
</article>
