<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="1.3" xml:lang="en">
  <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">20260402</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">Impact of the Langmuir Circulations on Vertical Turbulent Exchange in the Sea Wave Layer</article-title>
      </title-group>

      <contrib-group>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9998-2080</contrib-id>
          <contrib-id contrib-id-type="researcherid">ABB-6151-2021</contrib-id>
          <contrib-id contrib-id-type="spin">4194-0706</contrib-id>
          <name>
            <surname>Pavlov</surname>
            <given-names>M. I.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>mixail.pavlov.1993@mail.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-1078-6425</contrib-id>
          <contrib-id contrib-id-type="researcherid">G-3180-2013</contrib-id>
          <contrib-id contrib-id-type="spin">1729-5565</contrib-id>
          <name>
            <surname>Chukharev</surname>
            <given-names>A. M.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>alexchukh@mail.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-5083-4968</contrib-id>
          <contrib-id contrib-id-type="researcherid">ABB-9621-2021</contrib-id>
          <contrib-id contrib-id-type="spin">6351-9222</contrib-id>
          <name>
            <surname>Kazakov</surname>
            <given-names>D. V.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>dk@mhi-ras.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Zubov</surname>
            <given-names>A. G.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>sl4612@mail.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Pavlenko</surname>
            <given-names>O. I.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>olpav@list.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Shutov</surname>
            <given-names>S. A.</given-names>
          </name>
          <address>
            <country country="RU">Russian Federation</country>
          </address>
          <email>sergeo808@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="2026-08-31" publication-format="electronic">
        <day>31</day>
        <month>08</month>
        <year>2026</year>
      </pub-date>
      <volume>33</volume>
      <issue>4</issue>
      <fpage>565</fpage>
      <lpage>583</lpage>

      <history>
        <date date-type="received" iso-8601-date="2026-03-03">
          <day>03</day>
          <month>03</month>
          <year>2026</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2026-03-31">
          <day>31</day>
          <month>03</month>
          <year>2026</year>
        </date>
        <date date-type="accepted" iso-8601-date="2026-05-20">
          <day>20</day>
          <month>05</month>
          <year>2026</year>
        </date>
      </history>

      <permissions>
        <copyright-statement xml:lang="en">Copyright ©; 2026, M. I. Pavlov, A. M. Chukharev, D. V. Kazakov, A. G. Zubov, O. I. Pavlenko, S. A. Shutov</copyright-statement>
        <copyright-year>2026</copyright-year>
        <copyright-holder xml:lang="en">M. I. Pavlov, A. M. Chukharev, D. V. Kazakov, A. G. Zubov, O. I. Pavlenko, S. A. Shutov</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/2026/04/02/" xlink:title="Article page">https://physical-oceanography.ru/repository/issues/2026/04/02/</self-uri>
      <abstract xml:lang="en">
        <p><bold>Purpose.</bold> The purpose of the study is to parameterize the Langmuir circulation based on experimental data on the main hydrophysical parameters, to determine the relationship between its characteristics and surface waves, and to assess the impact of coherent structures on vertical turbulent exchange in the wave-enhanced surface layer.</p>
        <p><bold>Methods and Results.</bold> During 2021–2024, hydrophysical fields near the sea surface, including their fluctuation characteristics, were comprehensively measured at the stationary oceanographic platform (Katsiveli) using the acoustic Doppler current profilers (ADCP) DVS-6000 and Workhorse Monitor 1200, as well as a Sigma-1 turbulence meter and a meteorological complex. The vertical velocity component W in the convergence zones was identified at 3–4 m depth based on the ADCP data. The measured values of W allowed the dependences of the Langmuir circulation parameters on wind speed at a height of 10 m (V<sub>10</sub>) to be determined. To distinguish the modes, the Gaussian mixture model clustering method was applied; it included the selection of the number of clusters based on the Bayesian information criterion. The rate of turbulent kinetic energy dissipation ε was calculated from the velocity fluctuation spectra. Two modes – energy-dependent (La<sub>t</sub> &gt; 0.98) and saturated (La<sub>t</sub> ≤ 0.98) – were distinguished. The regression relationships W<sub>1</sub> = 0.57V<sub>10</sub> + 1.15 (R² = 0.52) and W<sub>2</sub> = −0.29V<sub>10</sub> + 7.3 (R² = 0.51) were obtained for these modes. The median values of the Langmuir number La<sub>t</sub> were 1.2 (IQR = 0.53) and 0.8 (IQR = 0.34) for the energy-dependent and saturated modes, respectively. It was found that the median values of ε in both modes were close (2.87·10⁻⁶ and 2.62·10⁻⁶ m²/s³), but the IQR of log10(ε) in the energy-dependent mode (0.75) exceeded that in the saturated mode (0.40) by a factor of 1.9. This indicated a significant difference in turbulence variability.</p>
        <p><bold>Conclusions.</bold> The effect of Langmuir circulation on vertical turbulent exchange lies not so much in altering the mean dissipation rate as in modulating the variability regime, namely, in the transition from a chaotic and inhomogeneous state to an organized and statistically homogeneous one. The proposed parameterizations of W(V<sub>10</sub>) and quantitative estimates of ε can be used to improve models of turbulence in the wave-enhanced surface layer.</p>
      </abstract>

      <kwd-group>
        <kwd>vertical turbulent exchange</kwd>
        <kwd>sea wave layer</kwd>
        <kwd>dissipation rate</kwd>
        <kwd>Stokes drift</kwd>
        <kwd>experimental studies</kwd>
        <kwd>Langmuir circulation</kwd>
        <kwd>turbulent Langmuir number</kwd>
        <kwd>Black Sea hydrophysical subsatellite polygon</kwd>
        <kwd>stationary oceanographic platform</kwd>
      </kwd-group>

      <funding-group>
        <funding-statement xml:lang="en">The study was carried out within the framework of the state assignment of FSBSI FRC MHI, No. FNNN-2024-0001.</funding-statement>
      </funding-group>
    </article-meta>
  </front>

  <body>
    <p>Article text not included.</p>
  </body>

  <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>Craig</surname><given-names>P.D.</given-names></name>
            <name><surname>Banner</surname><given-names>M.L.</given-names></name>
          </person-group>
          <article-title>Modeling Wave-Enhanced Turbulence in the Ocean Surface Layer</article-title>
          <source>Journal of Physical Oceanography</source>
          <year>1994</year>
          <volume>24</volume>
          <issue>12</issue>
          <fpage>2546</fpage>
          <lpage>2559</lpage>
          <pub-id pub-id-type="doi">10.1175/1520-0485(1994)024%3C2546:MWETIT%3E2.0.CO;2</pub-id>
        </element-citation>
      </ref>
      <ref id="B2">
        <label>2.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Kudryavtsev</surname><given-names>V.N.</given-names></name>
            <name><surname>Shrira</surname><given-names>V.I.</given-names></name>
            <name><surname>Dulov</surname><given-names>V.A.</given-names></name>
            <name><surname>Malinovsky</surname><given-names>V.V.</given-names></name>
          </person-group>
          <article-title>On the Vertical Structure of Wind-Driven Sea Currents</article-title>
          <source>Journal of Physical Oceanography</source>
          <year>2008</year>
          <volume>38</volume>
          <issue>10</issue>
          <fpage>2121</fpage>
          <lpage>2144</lpage>
          <pub-id pub-id-type="doi">10.1175/2008JPO3883.1</pub-id>
        </element-citation>
      </ref>
      <ref id="B3">
        <label>3.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Chukharev</surname><given-names>A.M.</given-names></name>
          </person-group>
          <article-title>Multitime Scale Model of Turbulence in the Sea Surface Layer</article-title>
          <source>Izvestiya, Atmospheric and Oceanic Physics</source>
          <year>2013</year>
          <volume>49</volume>
          <issue>4</issue>
          <fpage>439</fpage>
          <lpage>449</lpage>
          <pub-id pub-id-type="doi">10.1134/S0001433813040026</pub-id>
        </element-citation>
      </ref>
      <ref id="B4">
        <label>4.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Craik</surname><given-names>A.D.D.</given-names></name>
            <name><surname>Leibovich</surname><given-names>S.</given-names></name>
          </person-group>
          <article-title>A Rational Model for Langmuir Circulations</article-title>
          <source>Journal of Fluid Mechanics</source>
          <year>1976</year>
          <volume>73</volume>
          <issue>3</issue>
          <fpage>401</fpage>
          <lpage>426</lpage>
          <pub-id pub-id-type="doi">10.1017/S0022112076001420</pub-id>
        </element-citation>
      </ref>
      <ref id="B5">
        <label>5.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Pleuddemann</surname><given-names>A.J.</given-names></name>
            <name><surname>Smith</surname><given-names>J.A.</given-names></name>
            <name><surname>Farmer</surname><given-names>D.M.</given-names></name>
            <name><surname>Weller</surname><given-names>R.A.</given-names></name>
            <name><surname>Crawford</surname><given-names>W.R.</given-names></name>
            <name><surname>Pinkel</surname><given-names>R.</given-names></name>
            <name><surname>Vagle</surname><given-names>S.</given-names></name>
            <name><surname>Gnanadesikan</surname><given-names>A.</given-names></name>
          </person-group>
          <article-title>Structure and Variability of Langmuir Circulation during the Surface Waves Processes Program</article-title>
          <source>Journal of Geophysical Research: Oceans</source>
          <year>1996</year>
          <volume>101</volume>
          <issue>C2</issue>
          <fpage>3525</fpage>
          <lpage>3543</lpage>
          <pub-id pub-id-type="doi">10.1029/95JC03282</pub-id>
        </element-citation>
      </ref>
      <ref id="B6">
        <label>6.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Tsai</surname><given-names>W.-T.</given-names></name>
            <name><surname>Hung</surname><given-names>L.-P.</given-names></name>
          </person-group>
          <article-title>Three-Dimensional Modeling of Small-Scale Processes in the Upper Boundary Layer Bounded by a Dynamic Ocean Surface</article-title>
          <source>Journal of Geophysical Research: Oceans</source>
          <year>2007</year>
          <volume>112</volume>
          <issue>C2</issue>
          <fpage>C02019</fpage>
          <pub-id pub-id-type="doi">10.1029/2006JC003686</pub-id>
        </element-citation>
      </ref>
      <ref id="B7">
        <label>7.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Kukulka</surname><given-names>T.</given-names></name>
            <name><surname>Pleuddemann</surname><given-names>A.J.</given-names></name>
            <name><surname>Sullivan</surname><given-names>P.P.</given-names></name>
          </person-group>
          <article-title>Nonlocal Transport due to Langmuir Circulation in a Coastal Ocean</article-title>
          <source>Journal of Geophysical Research: Oceans</source>
          <year>2012</year>
          <volume>117</volume>
          <issue>C12</issue>
          <fpage>C12007</fpage>
          <pub-id pub-id-type="doi">10.1029/2012JC008340</pub-id>
        </element-citation>
      </ref>
      <ref id="B8">
        <label>8.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Li</surname><given-names>K.</given-names></name>
            <name><surname>Zhang</surname><given-names>Z.</given-names></name>
            <name><surname>Chini</surname><given-names>G.P.</given-names></name>
            <name><surname>Flierl</surname><given-names>G.R.</given-names></name>
          </person-group>
          <article-title>Langmuir Circulation: An Agent for Vertical Restratification?</article-title>
          <source>Journal of Physical Oceanography</source>
          <year>2012</year>
          <volume>42</volume>
          <issue>11</issue>
          <fpage>1945</fpage>
          <lpage>1958</lpage>
          <pub-id pub-id-type="doi">10.1175/JPO-D-11-0225.1</pub-id>
        </element-citation>
      </ref>
      <ref id="B9">
        <label>9.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Li</surname><given-names>S.</given-names></name>
            <name><surname>Li</surname><given-names>M.</given-names></name>
            <name><surname>Gerbi</surname><given-names>G.P.</given-names></name>
            <name><surname>Song</surname><given-names>J.-B.</given-names></name>
          </person-group>
          <article-title>Roles of Breaking Waves and Langmuir Circulation in the Surface Boundary Layer of a Coastal Ocean</article-title>
          <source>Journal of Geophysical Research: Oceans</source>
          <year>2013</year>
          <volume>118</volume>
          <issue>10</issue>
          <fpage>5173</fpage>
          <lpage>5187</lpage>
          <pub-id pub-id-type="doi">10.1002/jgrc.20387</pub-id>
        </element-citation>
      </ref>
      <ref id="B10">
        <label>10.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>McWilliams</surname><given-names>J.C.</given-names></name>
            <name><surname>Huckle</surname><given-names>E.</given-names></name>
            <name><surname>Liang</surname><given-names>J.-H.</given-names></name>
            <name><surname>Sullivan</surname><given-names>P.P.</given-names></name>
          </person-group>
          <article-title>The Wavy Ekman Layer: Langmuir Circulations, Breaking Waves, and Reynolds Stress</article-title>
          <source>Journal of Physical Oceanography</source>
          <year>2012</year>
          <volume>42</volume>
          <issue>11</issue>
          <fpage>1793</fpage>
          <lpage>1816</lpage>
          <pub-id pub-id-type="doi">10.1175/JPO-D-12-07.1</pub-id>
        </element-citation>
      </ref>
      <ref id="B11">
        <label>11.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>McWilliams</surname><given-names>J.C.</given-names></name>
            <name><surname>Huckle</surname><given-names>E.</given-names></name>
            <name><surname>Liang</surname><given-names>J.-H.</given-names></name>
            <name><surname>Sullivan</surname><given-names>P.P.</given-names></name>
          </person-group>
          <article-title>Langmuir Turbulence in Swell</article-title>
          <source>Journal of Physical Oceanography</source>
          <year>2014</year>
          <volume>44</volume>
          <issue>3</issue>
          <fpage>870</fpage>
          <lpage>890</lpage>
          <pub-id pub-id-type="doi">10.1175/JPO-D-13-0122.1</pub-id>
        </element-citation>
      </ref>
      <ref id="B12">
        <label>12.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Sullivan</surname><given-names>P.P.</given-names></name>
            <name><surname>Romero</surname><given-names>L.</given-names></name>
            <name><surname>McWilliams</surname><given-names>J.C.</given-names></name>
            <name><surname>Melville</surname><given-names>W.K.</given-names></name>
          </person-group>
          <article-title>Transient Evolution of Langmuir Turbulence in Ocean Boundary Layers Driven by Hurricane Winds and Waves</article-title>
          <source>Journal of Physical Oceanography</source>
          <year>2012</year>
          <volume>42</volume>
          <issue>11</issue>
          <fpage>1959</fpage>
          <lpage>1980</lpage>
          <pub-id pub-id-type="doi">10.1175/JPO-D-12-025.1</pub-id>
        </element-citation>
      </ref>
      <ref id="B13">
        <label>13.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Skylingstad</surname><given-names>E.D.</given-names></name>
            <name><surname>Denbo</surname><given-names>D.W.</given-names></name>
          </person-group>
          <article-title>An Ocean Large-Eddy Simulation of Langmuir Circulations and Convection in the Surface Mixed Layer</article-title>
          <source>Journal of Geophysical Research: Oceans</source>
          <year>1995</year>
          <volume>100</volume>
          <issue>C5</issue>
          <fpage>8501</fpage>
          <lpage>8522</lpage>
          <pub-id pub-id-type="doi">10.1029/94JC03202</pub-id>
        </element-citation>
      </ref>
      <ref id="B14">
        <label>14.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Thorpe</surname><given-names>S.A.</given-names></name>
          </person-group>
          <article-title>Langmuir Circulation</article-title>
          <source>Annual Review of Fluid Mechanics</source>
          <year>2004</year>
          <volume>36</volume>
          <fpage>55</fpage>
          <lpage>79</lpage>
          <pub-id pub-id-type="doi">10.1146/annurev.fluid.36.052203.071431</pub-id>
        </element-citation>
      </ref>
      <ref id="B15">
        <label>15.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Thorpe</surname><given-names>S.A.</given-names></name>
            <name><surname>Osborn</surname><given-names>T.R.</given-names></name>
            <name><surname>Jackson</surname><given-names>J.F.E.</given-names></name>
            <name><surname>Hall</surname><given-names>A.J.</given-names></name>
            <name><surname>Lueck</surname><given-names>R.G.</given-names></name>
          </person-group>
          <article-title>Measurements of Turbulence in the Upper-Ocean Mixing Layer Using Autosub</article-title>
          <source>Journal of Physical Oceanography</source>
          <year>2003</year>
          <volume>33</volume>
          <issue>1</issue>
          <fpage>122</fpage>
          <lpage>145</lpage>
          <pub-id pub-id-type="doi">10.1175/1520-0485(2003)033%3C0122:MOTITU%3E2.0.CO;2</pub-id>
        </element-citation>
      </ref>
      <ref id="B16">
        <label>16.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Scully</surname><given-names>M.E.</given-names></name>
            <name><surname>Fisher</surname><given-names>A.W.</given-names></name>
            <name><surname>Suttles</surname><given-names>S.E.</given-names></name>
            <name><surname>Sanford</surname><given-names>L.P.</given-names></name>
            <name><surname>Boicourt</surname><given-names>W.C.</given-names></name>
          </person-group>
          <article-title>Characterization and Modulation of Langmuir Circulation in Chesapeake Bay</article-title>
          <source>Journal of Physical Oceanography</source>
          <year>2015</year>
          <volume>45</volume>
          <issue>10</issue>
          <fpage>2621</fpage>
          <lpage>2639</lpage>
          <pub-id pub-id-type="doi">10.1175/JPO-D-14-0239.1</pub-id>
        </element-citation>
      </ref>
      <ref id="B17">
        <label>17.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Weller</surname><given-names>R.A.</given-names></name>
            <name><surname>Price</surname><given-names>J.F.</given-names></name>
          </person-group>
          <article-title>Langmuir Circulation within the Oceanic Mixed Layer</article-title>
          <source>Deep Sea Research Part A. Oceanographic Research Papers</source>
          <year>1988</year>
          <volume>35</volume>
          <issue>5</issue>
          <fpage>711</fpage>
          <lpage>747</lpage>
          <pub-id pub-id-type="doi">10.1016/0198-0149(88)90027-1</pub-id>
        </element-citation>
      </ref>
      <ref id="B18">
        <label>18.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Filatov</surname><given-names>N.N.</given-names></name>
            <name><surname>Rjanzhin</surname><given-names>S.V.</given-names></name>
            <name><surname>Zaycev</surname><given-names>L.V.</given-names></name>
          </person-group>
          <article-title>Investigation of Turbulence and Langmuir Circulation in Lake Ladoga</article-title>
          <source>Journal of Great Lakes Research</source>
          <year>1981</year>
          <volume>7</volume>
          <issue>1</issue>
          <fpage>1</fpage>
          <lpage>6</lpage>
          <pub-id pub-id-type="doi">10.1016/S0380-1330(81)72016-1</pub-id>
        </element-citation>
      </ref>
      <ref id="B19">
        <label>19.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Chukharev</surname><given-names>A.M.</given-names></name>
            <name><surname>Pavlov</surname><given-names>M.I.</given-names></name>
          </person-group>
          <article-title>Model and Experimental Estimates of Vertical Mixing Intensity in the Sea Upper Homogeneous Layer</article-title>
          <source>Physical Oceanography</source>
          <year>2021</year>
          <volume>28</volume>
          <issue>3</issue>
          <fpage>309</fpage>
          <lpage>325</lpage>
          <pub-id pub-id-type="doi">10.22449/1573-160X-2021-3-309-325</pub-id>
        </element-citation>
      </ref>
      <ref id="B20">
        <label>20.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Wu</surname><given-names>L.</given-names></name>
            <name><surname>Rutgersson</surname><given-names>A.</given-names></name>
            <name><surname>Sahle</surname><given-names>E.</given-names></name>
          </person-group>
          <article-title>Upper-Ocean Mixing due to Surface Gravity Waves</article-title>
          <source>Journal of Geophysical Research: Oceans</source>
          <year>2015</year>
          <volume>120</volume>
          <issue>12</issue>
          <fpage>8210</fpage>
          <lpage>8228</lpage>
          <pub-id pub-id-type="doi">10.1002/2015JC011329</pub-id>
        </element-citation>
      </ref>
      <ref id="B21">
        <label>21.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Harcourt</surname><given-names>R.R.</given-names></name>
            <name><surname>D'Asaro</surname><given-names>E.A.</given-names></name>
          </person-group>
          <article-title>Large-Eddy Simulation of Langmuir Turbulence in Pure Wind Seas</article-title>
          <source>Journal of Physical Oceanography</source>
          <year>2008</year>
          <volume>38</volume>
          <issue>7</issue>
          <fpage>1542</fpage>
          <lpage>1562</lpage>
          <pub-id pub-id-type="doi">10.1175/2007JPO3842.1</pub-id>
        </element-citation>
      </ref>
      <ref id="B22">
        <label>22.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Zedel</surname><given-names>L.</given-names></name>
            <name><surname>Farmer</surname><given-names>D.</given-names></name>
          </person-group>
          <article-title>Organized Structures in Subsurface Bubble Clouds: Langmuir Circulation in the Open Ocean</article-title>
          <source>Journal of Geophysical Research: Oceans</source>
          <year>1991</year>
          <volume>96</volume>
          <issue>C5</issue>
          <fpage>8889</fpage>
          <lpage>8900</lpage>
          <pub-id pub-id-type="doi">10.1029/91JC00189</pub-id>
        </element-citation>
      </ref>
      <ref id="B23">
        <label>23.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>D'Asaro</surname><given-names>E.A.</given-names></name>
            <name><surname>Thomson</surname><given-names>J.</given-names></name>
            <name><surname>Shcherbina</surname><given-names>A.Y.</given-names></name>
            <name><surname>Harcourt</surname><given-names>R.R.</given-names></name>
            <name><surname>Cronin</surname><given-names>M.F.</given-names></name>
            <name><surname>Hemer</surname><given-names>M.A.</given-names></name>
            <name><surname>Fox-Kemper</surname><given-names>B.</given-names></name>
          </person-group>
          <article-title>Quantifying Upper Ocean Turbulence Driven by Surface Waves</article-title>
          <source>Geophysical Research Letters</source>
          <year>2014</year>
          <volume>41</volume>
          <issue>1</issue>
          <fpage>102</fpage>
          <lpage>107</lpage>
          <pub-id pub-id-type="doi">10.1002/2013GL058193</pub-id>
        </element-citation>
      </ref>
      <ref id="B24">
        <label>24.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Samodurov</surname><given-names>A.S.</given-names></name>
            <name><surname>Dykman</surname><given-names>V.Z.</given-names></name>
            <name><surname>Barabash</surname><given-names>V.A.</given-names></name>
            <name><surname>Efremov</surname><given-names>O.I.</given-names></name>
            <name><surname>Zubov</surname><given-names>A.G.</given-names></name>
            <name><surname>Pavlenko</surname><given-names>O.I.</given-names></name>
            <name><surname>Chukharev</surname><given-names>A.M.</given-names></name>
          </person-group>
          <article-title>"Sigma-1" Measuring Complex for the Investigation of Small-Scale Characteristics of Hydrophysical Fields in the Upper Layer of the Sea</article-title>
          <source>Physical Oceanography</source>
          <year>2005</year>
          <volume>15</volume>
          <issue>5</issue>
          <fpage>311</fpage>
          <lpage>322</lpage>
          <pub-id pub-id-type="doi">10.1007/s11110-006-0005-1</pub-id>
        </element-citation>
      </ref>
      <ref id="B25">
        <label>25.</label>
        <element-citation publication-type="book">
          <person-group person-group-type="author">
            <name><surname>Pavlov</surname><given-names>M.I.</given-names></name>
            <name><surname>Chukharev</surname><given-names>A.M.</given-names></name>
          </person-group>
          <article-title>Influence of Langmuir Circulations on the Intensity of Turbulent Mixing in the Near-Surface Layer of the Sea</article-title>
          <source>Physical and Mathematical Modeling of Earth and Environment Processes-2022</source>
          <year>2023</year>
          <publisher-loc>Cham</publisher-loc>
          <publisher-name>Springer</publisher-name>
          <fpage>395</fpage>
          <lpage>411</lpage>
          <pub-id pub-id-type="doi">10.1007/978-3-031-25962-3_39</pub-id>
        </element-citation>
      </ref>
      <ref id="B26">
        <label>26.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Stewart</surname><given-names>R.W.</given-names></name>
            <name><surname>Grant</surname><given-names>H.L.</given-names></name>
          </person-group>
          <article-title>Determination of the Rate of Dissipation of Turbulent Energy near the Sea Surface in the Presence of Waves</article-title>
          <source>Journal of Geophysical Research</source>
          <year>1962</year>
          <volume>67</volume>
          <issue>8</issue>
          <fpage>3177</fpage>
          <lpage>3180</lpage>
          <pub-id pub-id-type="doi">10.1029/JZ067i008p03177</pub-id>
        </element-citation>
      </ref>
      <ref id="B27">
        <label>27.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Soloviev</surname><given-names>A.</given-names></name>
            <name><surname>Lukas</surname><given-names>R.</given-names></name>
            <name><surname>Hacker</surname><given-names>P.</given-names></name>
            <name><surname>Schoeberlein</surname><given-names>H.</given-names></name>
            <name><surname>Baker</surname><given-names>M.</given-names></name>
            <name><surname>Arjannikov</surname><given-names>A.</given-names></name>
          </person-group>
          <article-title>A Near-Surface Microstructure Sensor System Used during TOGA COARE. Part II: Turbulence Measurements</article-title>
          <source>Journal of Atmospheric and Oceanic Technology</source>
          <year>1999</year>
          <volume>16</volume>
          <issue>11</issue>
          <fpage>1598</fpage>
          <lpage>1618</lpage>
          <pub-id pub-id-type="doi">10.1175/1520-0426(1999)016%3C1598:ANSMSS%3E2.0.CO;2</pub-id>
        </element-citation>
      </ref>
      <ref id="B28">
        <label>28.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Leibovich</surname><given-names>S.</given-names></name>
          </person-group>
          <article-title>The Form and Dynamics of Langmuir Circulations</article-title>
          <source>Annual Review of Fluid Mechanics</source>
          <year>1983</year>
          <volume>15</volume>
          <fpage>391</fpage>
          <lpage>427</lpage>
          <pub-id pub-id-type="doi">10.1146/annurev.fl.15.010183.002135</pub-id>
        </element-citation>
      </ref>
      <ref id="B29">
        <label>29.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>McWilliams</surname><given-names>J.C.</given-names></name>
            <name><surname>Sullivan</surname><given-names>P.P.</given-names></name>
            <name><surname>Moeng</surname><given-names>C.-H.</given-names></name>
          </person-group>
          <article-title>Langmuir Turbulence in the Ocean</article-title>
          <source>Journal of Fluid Mechanics</source>
          <year>1997</year>
          <volume>334</volume>
          <fpage>1</fpage>
          <lpage>30</lpage>
          <pub-id pub-id-type="doi">10.1017/S0022112096004375</pub-id>
        </element-citation>
      </ref>
      <ref id="B30">
        <label>30.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Smith</surname><given-names>J.A.</given-names></name>
          </person-group>
          <article-title>Observed Growth of Langmuir Circulation</article-title>
          <source>Journal of Geophysical Research: Oceans</source>
          <year>1992</year>
          <volume>97</volume>
          <issue>C4</issue>
          <fpage>5651</fpage>
          <lpage>5664</lpage>
          <pub-id pub-id-type="doi">10.1029/91JC03118</pub-id>
        </element-citation>
      </ref>
      <ref id="B31">
        <label>31.</label>
        <element-citation publication-type="journal">
          <person-group person-group-type="author">
            <name><surname>Gargett</surname><given-names>A.E.</given-names></name>
            <name><surname>Wells</surname><given-names>J.R.</given-names></name>
          </person-group>
          <article-title>Langmuir Turbulence in Shallow Water. Part 1. Observations</article-title>
          <source>Journal of Fluid Mechanics</source>
          <year>2007</year>
          <volume>576</volume>
          <fpage>27</fpage>
          <lpage>61</lpage>
          <pub-id pub-id-type="doi">10.1017/S0022112006004575</pub-id>
        </element-citation>
      </ref>
    </ref-list>
  </back>
</article>