<?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 article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">gesj</journal-id><journal-title-group><journal-title xml:lang="en">GEOGRAPHY, ENVIRONMENT, SUSTAINABILITY</journal-title><trans-title-group xml:lang="ru"><trans-title>GEOGRAPHY, ENVIRONMENT, SUSTAINABILITY</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2071-9388</issn><issn pub-type="epub">2542-1565</issn><publisher><publisher-name>Russian Geographical Society</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.24057/2071-9388-2012-5-1-84-111</article-id><article-id custom-type="elpub" pub-id-type="custom">gesj-191</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ENVIRONMENT</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Окружающая среда</subject></subj-group></article-categories><title-group><article-title>RISK ASSESSMENT OF ENCOUNTERING KILLER WAVES IN THE BLACK SEA</article-title><trans-title-group xml:lang="ru"><trans-title></trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Ivanov</surname><given-names>Vitaliy</given-names></name></name-alternatives><bio xml:lang="en"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Dotsenko</surname><given-names>Sergey</given-names></name></name-alternatives><bio xml:lang="en"><p>Marine Hydrophysical Institute, Sevastopol, Ukraine</p></bio></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Shokurov</surname><given-names>Mikhail</given-names></name></name-alternatives><bio xml:lang="en"><p>Marine Hydrophysical Institute, Sevastopol, Ukraine</p></bio></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Malinovsky</surname><given-names>Vladimir</given-names></name></name-alternatives><bio xml:lang="en"><p>Marine Hydrophysical Institute, Sevastopol, Ukraine</p></bio></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Dulov</surname><given-names>Vladimir</given-names></name></name-alternatives><bio xml:lang="en"/><email xlink:type="simple">dulov1952@gmail.com</email></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Kuznetsov</surname><given-names>Sergey</given-names></name></name-alternatives><bio xml:lang="en"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Saprykina</surname><given-names>Yana</given-names></name></name-alternatives><bio xml:lang="en"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Polnikov</surname><given-names>Vladislav</given-names></name></name-alternatives><bio xml:lang="en"/></contrib></contrib-group><pub-date pub-type="collection"><year>2012</year></pub-date><pub-date pub-type="epub"><day>01</day><month>03</month><year>2012</year></pub-date><volume>5</volume><issue>1</issue><fpage>84</fpage><lpage>111</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Ivanov V., Dotsenko S., Shokurov M., Malinovsky V., Dulov V., Kuznetsov S., Saprykina Y., Polnikov V., 2012</copyright-statement><copyright-year>2012</copyright-year><copyright-holder xml:lang="ru">Ivanov V., Dotsenko S., Shokurov M., Malinovsky V., Dulov V., Kuznetsov S., Saprykina Y., Polnikov V.</copyright-holder><copyright-holder xml:lang="en">Ivanov V., Dotsenko S., Shokurov M., Malinovsky V., Dulov V., Kuznetsov S., Saprykina Y., Polnikov V.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://ges.rgo.ru/jour/article/view/191">https://ges.rgo.ru/jour/article/view/191</self-uri><abstract/><kwd-group xml:lang="en"><kwd>storm seas</kwd><kwd>killer waves</kwd><kwd>freak waves</kwd><kwd>rogue waves</kwd><kwd>Benjamin-Feir instability</kwd><kwd>field study in the Black Sea</kwd><kwd>numerical recovery of wind and wave fields</kwd><kwd>risk assessment for extreme maritime events</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Annenkov S.Y., Shrira V. I. (2009) ‘‘Fast’’ Nonlinear Evolution in Wave Turbulence // Physical</mixed-citation><mixed-citation xml:lang="en">Annenkov S.Y., Shrira V. I. (2009) ‘‘Fast’’ Nonlinear Evolution in Wave Turbulence // Physical</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Review Letters Vol. 102. doi: 10.1103/PhysRevLett.102.024502, pp. 024502-1–024502-4.</mixed-citation><mixed-citation xml:lang="en">Review Letters Vol. 102. doi: 10.1103/PhysRevLett.102.024502, pp. 024502-1–024502-4.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Badulin S.I., Korotkevich A.O., Resio D., Zakharov V.E. (2009) Wave-wave interactions in</mixed-citation><mixed-citation xml:lang="en">Badulin S.I., Korotkevich A.O., Resio D., Zakharov V.E. (2009) Wave-wave interactions in</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">wind-driven mixed seas // Proceedings of the Rogue Waves 2008 Workshop (October</mixed-citation><mixed-citation xml:lang="en">wind-driven mixed seas // Proceedings of the Rogue Waves 2008 Workshop (October</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">–15, 2008, Brest, France), pp. 77–86.</mixed-citation><mixed-citation xml:lang="en">–15, 2008, Brest, France), pp. 77–86.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Chalikov D. (2007) Numerical simulation of the Benjamin-Feir instability and its consequences</mixed-citation><mixed-citation xml:lang="en">Chalikov D. (2007) Numerical simulation of the Benjamin-Feir instability and its consequences</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">// Physics of Fluids 19, 016602, 15 p.</mixed-citation><mixed-citation xml:lang="en">// Physics of Fluids 19, 016602, 15 p.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Divinskiy B.V., Kosyan R.D., Podymov I.S., Pushkarev O.V. (2003) Extreme wave in a northeast</mixed-citation><mixed-citation xml:lang="en">Divinskiy B.V., Kosyan R.D., Podymov I.S., Pushkarev O.V. (2003) Extreme wave in a northeast</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">part of Black sea in February 2003 // Oceanology, Vol. 43, No 6, pp. 1–3 (in Russian).</mixed-citation><mixed-citation xml:lang="en">part of Black sea in February 2003 // Oceanology, Vol. 43, No 6, pp. 1–3 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Donelan M.A., Magnusson A.K. (2005) The role of meteorological focusing in generating</mixed-citation><mixed-citation xml:lang="en">Donelan M.A., Magnusson A.K. (2005) The role of meteorological focusing in generating</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">rogue wave conditions / In: Proc. 14th Aha Huliko‘a Winter Workshop, Honolulu, Hawaii. pp.</mixed-citation><mixed-citation xml:lang="en">rogue wave conditions / In: Proc. 14th Aha Huliko‘a Winter Workshop, Honolulu, Hawaii. pp.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">–145.</mixed-citation><mixed-citation xml:lang="en">–145.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Dotsenko S.F., Ivanov V.A. (2006) Freak waves / Series “Modern problems of Oceanology»,</mixed-citation><mixed-citation xml:lang="en">Dotsenko S.F., Ivanov V.A. (2006) Freak waves / Series “Modern problems of Oceanology»,</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">issue 1. MHI NAS of Ukraine, Sevastopol, 44 p. (in Russian).</mixed-citation><mixed-citation xml:lang="en">issue 1. MHI NAS of Ukraine, Sevastopol, 44 p. (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Dotsenko S.F., Ivanov V.A., Poberezhny Yu.A. (2009) Freak waves in north-western part of</mixed-citation><mixed-citation xml:lang="en">Dotsenko S.F., Ivanov V.A., Poberezhny Yu.A. (2009) Freak waves in north-western part of</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">the Black Sea // Dopovidi NAS of Ukraine, No 9, pp. 113–117 (in Russian).</mixed-citation><mixed-citation xml:lang="en">the Black Sea // Dopovidi NAS of Ukraine, No 9, pp. 113–117 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Dotsenko S.F., Ivanov V.A., Poberezhny Yu.A. (2010) Link of freak waves formation and meteorological</mixed-citation><mixed-citation xml:lang="en">Dotsenko S.F., Ivanov V.A., Poberezhny Yu.A. (2010) Link of freak waves formation and meteorological</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">conditions in north-western part of the Black Sea // Dopovidi NAS of Ukraine</mixed-citation><mixed-citation xml:lang="en">conditions in north-western part of the Black Sea // Dopovidi NAS of Ukraine</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">No 12, pp. 105–109 (in Russian).</mixed-citation><mixed-citation xml:lang="en">No 12, pp. 105–109 (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Dudhia J. (1993) A nonhydrostatic version of the Penn State/NCAR mesoscale model:</mixed-citation><mixed-citation xml:lang="en">Dudhia J. (1993) A nonhydrostatic version of the Penn State/NCAR mesoscale model:</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Validation tests and simulation of an Atlantic cyclone and cold front // Mon. Wea. Rev. Vol.</mixed-citation><mixed-citation xml:lang="en">Validation tests and simulation of an Atlantic cyclone and cold front // Mon. Wea. Rev. Vol.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">, pp. 1493–1513.</mixed-citation><mixed-citation xml:lang="en">, pp. 1493–1513.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Gramstad O., Trulsen K. (2010) Can swell increase the number of freak waves in a wind sea? //</mixed-citation><mixed-citation xml:lang="en">Gramstad O., Trulsen K. (2010) Can swell increase the number of freak waves in a wind sea? //</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">J. Fluid Mech. Vol. 650, pp 57–79.</mixed-citation><mixed-citation xml:lang="en">J. Fluid Mech. Vol. 650, pp 57–79.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Guedes Soares C., Cherneva Z., Antao E. M. (2004) Abnormal waves during Hurricane Camille //</mixed-citation><mixed-citation xml:lang="en">Guedes Soares C., Cherneva Z., Antao E. M. (2004) Abnormal waves during Hurricane Camille //</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Journal of Geophysical Research. Vol. 109, C08008. doi:10.1029/2003JC002244, 7 p.</mixed-citation><mixed-citation xml:lang="en">Journal of Geophysical Research. Vol. 109, C08008. doi:10.1029/2003JC002244, 7 p.</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Hanson J.I., Phillips O.M. (1999) Wind Sea Growth and Dissipation in the Open Ocean //</mixed-citation><mixed-citation xml:lang="en">Hanson J.I., Phillips O.M. (1999) Wind Sea Growth and Dissipation in the Open Ocean //</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Journal of Physical Oceanography. Vol. 29. pp. 1633–1647.</mixed-citation><mixed-citation xml:lang="en">Journal of Physical Oceanography. Vol. 29. pp. 1633–1647.</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Janssen P.A.E.M. (2003), Nonlinear four-wave interactions and freak waves // J. Phys.</mixed-citation><mixed-citation xml:lang="en">Janssen P.A.E.M. (2003), Nonlinear four-wave interactions and freak waves // J. Phys.</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Oceanogr. Vol. 33, pp. 863–884.</mixed-citation><mixed-citation xml:lang="en">Oceanogr. Vol. 33, pp. 863–884.</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Kartashova E., Shugan I.V. (2011) Dynamical cascade generation as a basic mechanism of</mixed-citation><mixed-citation xml:lang="en">Kartashova E., Shugan I.V. (2011) Dynamical cascade generation as a basic mechanism of</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Benjamin-Feir instability // EPL (Europhysics Letters) Vol. 95, No 3, 30003, doi:10.1209/0295-</mixed-citation><mixed-citation xml:lang="en">Benjamin-Feir instability // EPL (Europhysics Letters) Vol. 95, No 3, 30003, doi:10.1209/0295-</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">/95/30003, 6 p.</mixed-citation><mixed-citation xml:lang="en">/95/30003, 6 p.</mixed-citation></citation-alternatives></ref><ref id="cit34"><label>34</label><citation-alternatives><mixed-citation xml:lang="ru">Kharif C., Pelinovsky E., Slunyaev A. (2009) Rogue waves in the ocean. Springer-Verlag,</mixed-citation><mixed-citation xml:lang="en">Kharif C., Pelinovsky E., Slunyaev A. (2009) Rogue waves in the ocean. Springer-Verlag,</mixed-citation></citation-alternatives></ref><ref id="cit35"><label>35</label><citation-alternatives><mixed-citation xml:lang="ru">Berlin, Heidelberg, 216 p.</mixed-citation><mixed-citation xml:lang="en">Berlin, Heidelberg, 216 p.</mixed-citation></citation-alternatives></ref><ref id="cit36"><label>36</label><citation-alternatives><mixed-citation xml:lang="ru">Komen G., Cavaleri L., Donelan M., Hasselmann K., Hasselmann S., Janssen P.A.E.M. (1994)</mixed-citation><mixed-citation xml:lang="en">Komen G., Cavaleri L., Donelan M., Hasselmann K., Hasselmann S., Janssen P.A.E.M. (1994)</mixed-citation></citation-alternatives></ref><ref id="cit37"><label>37</label><citation-alternatives><mixed-citation xml:lang="ru">Dynamics and Modelling of Ocean Waves. Cambridge University Press, 532 p.</mixed-citation><mixed-citation xml:lang="en">Dynamics and Modelling of Ocean Waves. Cambridge University Press, 532 p.</mixed-citation></citation-alternatives></ref><ref id="cit38"><label>38</label><citation-alternatives><mixed-citation xml:lang="ru">Kurkin A.A., Pelinovsky E.N. (2004) Freak waves: facts, theory and modelling. NNSTU, Nizhny</mixed-citation><mixed-citation xml:lang="en">Kurkin A.A., Pelinovsky E.N. (2004) Freak waves: facts, theory and modelling. NNSTU, Nizhny</mixed-citation></citation-alternatives></ref><ref id="cit39"><label>39</label><citation-alternatives><mixed-citation xml:lang="ru">Novgorod, 158 p. (In Russian).</mixed-citation><mixed-citation xml:lang="en">Novgorod, 158 p. (In Russian).</mixed-citation></citation-alternatives></ref><ref id="cit40"><label>40</label><citation-alternatives><mixed-citation xml:lang="ru">Kuznetsov S.Yu., Ya.V. Saprykina, R.D. Kos’yan, O.V. Pushkarev (2006) Formation Mechanism</mixed-citation><mixed-citation xml:lang="en">Kuznetsov S.Yu., Ya.V. Saprykina, R.D. Kos’yan, O.V. Pushkarev (2006) Formation Mechanism</mixed-citation></citation-alternatives></ref><ref id="cit41"><label>41</label><citation-alternatives><mixed-citation xml:lang="ru">of Extreme Storm Waves in the Black Sea // Doklady Earth Sciences, Vol. 408, No 4,</mixed-citation><mixed-citation xml:lang="en">of Extreme Storm Waves in the Black Sea // Doklady Earth Sciences, Vol. 408, No 4,</mixed-citation></citation-alternatives></ref><ref id="cit42"><label>42</label><citation-alternatives><mixed-citation xml:lang="ru">pp. 570–574.</mixed-citation><mixed-citation xml:lang="en">pp. 570–574.</mixed-citation></citation-alternatives></ref><ref id="cit43"><label>43</label><citation-alternatives><mixed-citation xml:lang="ru">Kuznetsov S., Saprykina Y. (2009) Fine structure and peculiarities of wave spectra with</mixed-citation><mixed-citation xml:lang="en">Kuznetsov S., Saprykina Y. (2009) Fine structure and peculiarities of wave spectra with</mixed-citation></citation-alternatives></ref><ref id="cit44"><label>44</label><citation-alternatives><mixed-citation xml:lang="ru">Benjamin – Feir instability // Proceedings of the Rogue Waves 2008 Workshop, October</mixed-citation><mixed-citation xml:lang="en">Benjamin – Feir instability // Proceedings of the Rogue Waves 2008 Workshop, October</mixed-citation></citation-alternatives></ref><ref id="cit45"><label>45</label><citation-alternatives><mixed-citation xml:lang="ru">–15, 2008, Brest, France. pp. 99–108.</mixed-citation><mixed-citation xml:lang="en">–15, 2008, Brest, France. pp. 99–108.</mixed-citation></citation-alternatives></ref><ref id="cit46"><label>46</label><citation-alternatives><mixed-citation xml:lang="ru">Kuznetsov S.Yu., Dulov V.A., Saprykina Ya.V., Dotsenko S.F., Malinovsky V.V., Polnikov</mixed-citation><mixed-citation xml:lang="en">Kuznetsov S.Yu., Dulov V.A., Saprykina Ya.V., Dotsenko S.F., Malinovsky V.V., Polnikov</mixed-citation></citation-alternatives></ref><ref id="cit47"><label>47</label><citation-alternatives><mixed-citation xml:lang="ru">V.G., Shokurov M.V. (2011) Extremely dangerous storm conditions in the Black Sea /</mixed-citation><mixed-citation xml:lang="en">V.G., Shokurov M.V. (2011) Extremely dangerous storm conditions in the Black Sea /</mixed-citation></citation-alternatives></ref><ref id="cit48"><label>48</label><citation-alternatives><mixed-citation xml:lang="ru">Series “Modern problems of Oceanology”, issue 9. MHI NAS of Ukraine, Sevastopol. 66 p.</mixed-citation><mixed-citation xml:lang="en">Series “Modern problems of Oceanology”, issue 9. MHI NAS of Ukraine, Sevastopol. 66 p.</mixed-citation></citation-alternatives></ref><ref id="cit49"><label>49</label><citation-alternatives><mixed-citation xml:lang="ru">(in Russian).</mixed-citation><mixed-citation xml:lang="en">(in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit50"><label>50</label><citation-alternatives><mixed-citation xml:lang="ru">Liu P.C., Pinho U.F. (2004) Freak waves – more frequent than rare! // Annales Geophysicae</mixed-citation><mixed-citation xml:lang="en">Liu P.C., Pinho U.F. (2004) Freak waves – more frequent than rare! // Annales Geophysicae</mixed-citation></citation-alternatives></ref><ref id="cit51"><label>51</label><citation-alternatives><mixed-citation xml:lang="ru">Vol. 22. pp. 1839–1842.</mixed-citation><mixed-citation xml:lang="en">Vol. 22. pp. 1839–1842.</mixed-citation></citation-alternatives></ref><ref id="cit52"><label>52</label><citation-alternatives><mixed-citation xml:lang="ru">Mori N., Janssen, P. A. E. M. (2006) On kurtosis and occurrence probability of freak waves //</mixed-citation><mixed-citation xml:lang="en">Mori N., Janssen, P. A. E. M. (2006) On kurtosis and occurrence probability of freak waves //</mixed-citation></citation-alternatives></ref><ref id="cit53"><label>53</label><citation-alternatives><mixed-citation xml:lang="ru">J. Phys. Oceanogr. Vol. 36, pp. 1471–1483.</mixed-citation><mixed-citation xml:lang="en">J. Phys. Oceanogr. Vol. 36, pp. 1471–1483.</mixed-citation></citation-alternatives></ref><ref id="cit54"><label>54</label><citation-alternatives><mixed-citation xml:lang="ru">Onorato, M., Osborne, A.R., Serio, M., Damiani, T. (2001) Occurrence of freak waves from</mixed-citation><mixed-citation xml:lang="en">Onorato, M., Osborne, A.R., Serio, M., Damiani, T. (2001) Occurrence of freak waves from</mixed-citation></citation-alternatives></ref><ref id="cit55"><label>55</label><citation-alternatives><mixed-citation xml:lang="ru">envelope equations in random ocean wave simulations. / Proceedings of the workshop</mixed-citation><mixed-citation xml:lang="en">envelope equations in random ocean wave simulations. / Proceedings of the workshop</mixed-citation></citation-alternatives></ref><ref id="cit56"><label>56</label><citation-alternatives><mixed-citation xml:lang="ru">“Rogue Waves 2000”. IFREMER, Brest. pp. 181–191.</mixed-citation><mixed-citation xml:lang="en">“Rogue Waves 2000”. IFREMER, Brest. pp. 181–191.</mixed-citation></citation-alternatives></ref><ref id="cit57"><label>57</label><citation-alternatives><mixed-citation xml:lang="ru">Onorato M., Cavaleri L., Fouques S., Gramstad O., Janssen P.A.E. M., Monbaliu J., Osborne</mixed-citation><mixed-citation xml:lang="en">Onorato M., Cavaleri L., Fouques S., Gramstad O., Janssen P.A.E. M., Monbaliu J., Osborne</mixed-citation></citation-alternatives></ref><ref id="cit58"><label>58</label><citation-alternatives><mixed-citation xml:lang="ru">A.R., Pakozdi C., Serio M., Stansberg C.T., Toffoli A., Trulsen K. (2009) Statistical properties</mixed-citation><mixed-citation xml:lang="en">A.R., Pakozdi C., Serio M., Stansberg C.T., Toffoli A., Trulsen K. (2009) Statistical properties</mixed-citation></citation-alternatives></ref><ref id="cit59"><label>59</label><citation-alternatives><mixed-citation xml:lang="ru">of mechanically generated surface gravity waves: a laboratory experiment in a threedimensional</mixed-citation><mixed-citation xml:lang="en">of mechanically generated surface gravity waves: a laboratory experiment in a threedimensional</mixed-citation></citation-alternatives></ref><ref id="cit60"><label>60</label><citation-alternatives><mixed-citation xml:lang="ru">wave basin // J. Fluid Mech. Vol. 627, pp. 235–257.</mixed-citation><mixed-citation xml:lang="en">wave basin // J. Fluid Mech. Vol. 627, pp. 235–257.</mixed-citation></citation-alternatives></ref><ref id="cit61"><label>61</label><citation-alternatives><mixed-citation xml:lang="ru">Osborne A.R., Onorato M., Serio M. (2005) Nonlinear Fourier analysis of deep-water, random</mixed-citation><mixed-citation xml:lang="en">Osborne A.R., Onorato M., Serio M. (2005) Nonlinear Fourier analysis of deep-water, random</mixed-citation></citation-alternatives></ref><ref id="cit62"><label>62</label><citation-alternatives><mixed-citation xml:lang="ru">surface waves: theoretical formulation and experimental observations of rogue</mixed-citation><mixed-citation xml:lang="en">surface waves: theoretical formulation and experimental observations of rogue</mixed-citation></citation-alternatives></ref><ref id="cit63"><label>63</label><citation-alternatives><mixed-citation xml:lang="ru">waves / In: Proc. 14th Aha Huliko‘a Winter Workshop, Honolulu, Hawaii, pp. 65–77.</mixed-citation><mixed-citation xml:lang="en">waves / In: Proc. 14th Aha Huliko‘a Winter Workshop, Honolulu, Hawaii, pp. 65–77.</mixed-citation></citation-alternatives></ref><ref id="cit64"><label>64</label><citation-alternatives><mixed-citation xml:lang="ru">Phillips O.M. (1985) Spectral and statistical properties of the equilibrium range in windgenerated</mixed-citation><mixed-citation xml:lang="en">Phillips O.M. (1985) Spectral and statistical properties of the equilibrium range in windgenerated</mixed-citation></citation-alternatives></ref><ref id="cit65"><label>65</label><citation-alternatives><mixed-citation xml:lang="ru">gravity waves // Journal of Fluid Mechanics. Vol. 156. pp. 505–531.</mixed-citation><mixed-citation xml:lang="en">gravity waves // Journal of Fluid Mechanics. Vol. 156. pp. 505–531.</mixed-citation></citation-alternatives></ref><ref id="cit66"><label>66</label><citation-alternatives><mixed-citation xml:lang="ru">Saprykina Ya.V., Dulov V.A., Kuznetsov S.Yu., Smolov V.E. (2010) Freak waves in the Black Sea:</mixed-citation><mixed-citation xml:lang="en">Saprykina Ya.V., Dulov V.A., Kuznetsov S.Yu., Smolov V.E. (2010) Freak waves in the Black Sea:</mixed-citation></citation-alternatives></ref><ref id="cit67"><label>67</label><citation-alternatives><mixed-citation xml:lang="ru">mechanisms and conditions of occurrence // Ecological safety of coastal and shelf zones</mixed-citation><mixed-citation xml:lang="en">mechanisms and conditions of occurrence // Ecological safety of coastal and shelf zones</mixed-citation></citation-alternatives></ref><ref id="cit68"><label>68</label><citation-alternatives><mixed-citation xml:lang="ru">and comprehensive use of shelf resources. Vol. 21. MHI NAS of Ukraine, Sevastopol pp.</mixed-citation><mixed-citation xml:lang="en">and comprehensive use of shelf resources. Vol. 21. MHI NAS of Ukraine, Sevastopol pp.</mixed-citation></citation-alternatives></ref><ref id="cit69"><label>69</label><citation-alternatives><mixed-citation xml:lang="ru">–102 (In Russian).</mixed-citation><mixed-citation xml:lang="en">–102 (In Russian).</mixed-citation></citation-alternatives></ref><ref id="cit70"><label>70</label><citation-alternatives><mixed-citation xml:lang="ru">Socquet-Juglard H., Dysthe K., Trulsen H. E., Krogstad J. Liu (2005) Distribution of surface</mixed-citation><mixed-citation xml:lang="en">Socquet-Juglard H., Dysthe K., Trulsen H. E., Krogstad J. Liu (2005) Distribution of surface</mixed-citation></citation-alternatives></ref><ref id="cit71"><label>71</label><citation-alternatives><mixed-citation xml:lang="ru">gravity waves during spectral changes // J. Fluid Mech., Vol. 542, pp. 195–216.</mixed-citation><mixed-citation xml:lang="en">gravity waves during spectral changes // J. Fluid Mech., Vol. 542, pp. 195–216.</mixed-citation></citation-alternatives></ref><ref id="cit72"><label>72</label><citation-alternatives><mixed-citation xml:lang="ru">Shin S., Hong K. (2009) Nonlinear Parameters of Wave Distribution to Characterize Freak</mixed-citation><mixed-citation xml:lang="en">Shin S., Hong K. (2009) Nonlinear Parameters of Wave Distribution to Characterize Freak</mixed-citation></citation-alternatives></ref><ref id="cit73"><label>73</label><citation-alternatives><mixed-citation xml:lang="ru">Waves // Proceedings of the Rogue Waves 2008 Workshop (October 13–15, 2008, Brest,</mixed-citation><mixed-citation xml:lang="en">Waves // Proceedings of the Rogue Waves 2008 Workshop (October 13–15, 2008, Brest,</mixed-citation></citation-alternatives></ref><ref id="cit74"><label>74</label><citation-alternatives><mixed-citation xml:lang="ru">France) pp. 157–158.</mixed-citation><mixed-citation xml:lang="en">France) pp. 157–158.</mixed-citation></citation-alternatives></ref><ref id="cit75"><label>75</label><citation-alternatives><mixed-citation xml:lang="ru">Tamura H., Waseda T., Miyazawa Y. (2009) Freakish sea state and swell-windsea coupling:</mixed-citation><mixed-citation xml:lang="en">Tamura H., Waseda T., Miyazawa Y. (2009) Freakish sea state and swell-windsea coupling:</mixed-citation></citation-alternatives></ref><ref id="cit76"><label>76</label><citation-alternatives><mixed-citation xml:lang="ru">Numerical study of the Suwa-Maru incident // Geophysical Research Letters, Vol. 36,</mixed-citation><mixed-citation xml:lang="en">Numerical study of the Suwa-Maru incident // Geophysical Research Letters, Vol. 36,</mixed-citation></citation-alternatives></ref><ref id="cit77"><label>77</label><citation-alternatives><mixed-citation xml:lang="ru">L01607, doi:10.1029/2008GL036280. 5 p.</mixed-citation><mixed-citation xml:lang="en">L01607, doi:10.1029/2008GL036280. 5 p.</mixed-citation></citation-alternatives></ref><ref id="cit78"><label>78</label><citation-alternatives><mixed-citation xml:lang="ru">The WAMDI group (1998) The WAM model. – The third generation ocean wave prediction</mixed-citation><mixed-citation xml:lang="en">The WAMDI group (1998) The WAM model. – The third generation ocean wave prediction</mixed-citation></citation-alternatives></ref><ref id="cit79"><label>79</label><citation-alternatives><mixed-citation xml:lang="ru">model. // J. Phys. Oceanography., Vol. 18, pp. 1775–1810.</mixed-citation><mixed-citation xml:lang="en">model. // J. Phys. Oceanography., Vol. 18, pp. 1775–1810.</mixed-citation></citation-alternatives></ref><ref id="cit80"><label>80</label><citation-alternatives><mixed-citation xml:lang="ru">Yefimov V.V., Komarovskaya O.I., Shokurov M.V. (1998) Numerical model for wind waves in</mixed-citation><mixed-citation xml:lang="en">Yefimov V.V., Komarovskaya O.I., Shokurov M.V. (1998) Numerical model for wind waves in</mixed-citation></citation-alternatives></ref><ref id="cit81"><label>81</label><citation-alternatives><mixed-citation xml:lang="ru">the Black Sea. / Preprint MHI NAS of Ukraine, 40 p. (in Russian).</mixed-citation><mixed-citation xml:lang="en">the Black Sea. / Preprint MHI NAS of Ukraine, 40 p. (in Russian).</mixed-citation></citation-alternatives></ref><ref id="cit82"><label>82</label><citation-alternatives><mixed-citation xml:lang="ru">Young I.R. (1994) On the measurement of directional wave spectra // Applied Ocean</mixed-citation><mixed-citation xml:lang="en">Young I.R. (1994) On the measurement of directional wave spectra // Applied Ocean</mixed-citation></citation-alternatives></ref><ref id="cit83"><label>83</label><citation-alternatives><mixed-citation xml:lang="ru">Research. Vol. 16, pp. 283–294.</mixed-citation><mixed-citation xml:lang="en">Research. Vol. 16, pp. 283–294.</mixed-citation></citation-alternatives></ref><ref id="cit84"><label>84</label><citation-alternatives><mixed-citation xml:lang="ru">Young I.R. (2006) Directional spectra of hurricane wind waves // Journal Geophysics</mixed-citation><mixed-citation xml:lang="en">Young I.R. (2006) Directional spectra of hurricane wind waves // Journal Geophysics</mixed-citation></citation-alternatives></ref><ref id="cit85"><label>85</label><citation-alternatives><mixed-citation xml:lang="ru">Research. Vol. 111, C08020, doi:10.1029/2006JC003540, 14 p.</mixed-citation><mixed-citation xml:lang="en">Research. Vol. 111, C08020, doi:10.1029/2006JC003540, 14 p.</mixed-citation></citation-alternatives></ref><ref id="cit86"><label>86</label><citation-alternatives><mixed-citation xml:lang="ru">Zakharov V.E., Dyachenko A.I., Prokofiev A.O. (2008) Freak Waves: Peculiarities of Numerical</mixed-citation><mixed-citation xml:lang="en">Zakharov V.E., Dyachenko A.I., Prokofiev A.O. (2008) Freak Waves: Peculiarities of Numerical</mixed-citation></citation-alternatives></ref><ref id="cit87"><label>87</label><citation-alternatives><mixed-citation xml:lang="ru">Simulations / In “Extreme Ocean Waves”, Eds. E. Pelinovsky, C. Kharif, Springer. pp. 1–30.</mixed-citation><mixed-citation xml:lang="en">Simulations / In “Extreme Ocean Waves”, Eds. E. Pelinovsky, C. Kharif, Springer. pp. 1–30.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
