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<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="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">hydrophysics</journal-id><journal-title-group><journal-title xml:lang="ru">Фундаментальная и прикладная гидрофизика</journal-title><trans-title-group xml:lang="en"><trans-title>Fundamental and Applied Hydrophysics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2073-6673</issn><issn pub-type="epub">2782-5221</issn><publisher><publisher-name>St. Petersburg Research Center of the Russian Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.59887/2073-6673.2024.17(4)-1</article-id><article-id custom-type="elpub" pub-id-type="custom">hydrophysics-1378</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="ru"><subject>ГИДРОФИЗИЧЕСКИЕ И БИОГЕОХИМИЧЕСКИЕ ПОЛЯ И ПРОЦЕССЫ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>HYDROPHYSICAL AND BIOGEOCHEMICAL FIELDS AND PROCESSES</subject></subj-group></article-categories><title-group><article-title>Трансформация мезомасштабных океанических вихрей в филаменты: анализ данных альтиметрии</article-title><trans-title-group xml:lang="en"><trans-title>Evolution of mesoscale vortices in the ocean into filaments inferred from altimeter data</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8217-0932</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Жмур</surname><given-names>В. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Zhmur</surname><given-names>V. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>199034, Университетская наб., д. 7–9, г. Санкт-Петербург</p><p>117997, Нахимовский проспект, д. 36, г. Москва</p><p>141701, Институтский пер., 9, г. Долгопрудный, Московская область</p></bio><bio xml:lang="en"><p>Zhmur, Vladimir V., Head of the Laboratory, Chief Researcher, Dr. Sc. (Phys.-Math.), Corresponding Member of the Russian Academy of Sciences</p><p>WoS ResearcherID: P-9738-2015, Scopus AuthorID: 6602162918</p><p>7–9 Universitetskaya Emb., St. Petersburg, 199034</p><p>36 Nakhimovsky Prosp., Moscow, 117997</p><p>9 Institutskiy per., Dolgoprudny, Moscow Region, 141701</p></bio><email xlink:type="simple">zhmur-vladimir@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-4608-7781</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Белоненко</surname><given-names>Т. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Belonenko</surname><given-names>T. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>199034, Университетская наб., д. 7–9, г. Санкт-Петербург</p></bio><bio xml:lang="en"><p>Belonenko, Tatyana V., Professor of the Department of Oceanology</p><p>Scopus Author ID: 6507005889, WoS ResearcherID: K-2162-2013</p><p>7–9 Universitetskaya Emb., St. Petersburg, 199034</p></bio><email xlink:type="simple">btvlisab@yandex.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-6319-8937</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Новоселова</surname><given-names>Е. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Novoselova</surname><given-names>E. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>199034, Университетская наб., д. 7–9, г. Санкт-Петербург</p><p>199034, 14 линия В.О., д. 7, г. Санкт-Петербург</p></bio><bio xml:lang="en"><p>Novoselova, Elena V., Researcher</p><p>WoS ResearcherID: AAZ-6650-2020, Scopus AuthorID: 57219992097</p><p>7–9 Universitetskaya Emb., St. Petersburg, 199034</p><p>7 Line 14 V.O., St. Petersburg, 199034</p></bio><email xlink:type="simple">novoselovaa.elena@gmail.com</email><xref ref-type="aff" rid="aff-3"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Суетин</surname><given-names>Б. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Suetin</surname><given-names>B. P.</given-names></name></name-alternatives><bio xml:lang="ru"><p>141701, Институтский пер., 9, г. Долгопрудный, Московская область</p></bio><bio xml:lang="en"><p>Suetin, Boris P., Postgraduate student</p><p>Scopus AuthorID: 58153398500</p><p>9 Institutskiy per., Dolgoprudny, Moscow Region, 141701</p></bio><email xlink:type="simple">suetinboris@gmail.com</email><xref ref-type="aff" rid="aff-4"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Санкт-Петербургский государственный университет; Институт океанологии им. П.П. Ширшова РАН; Московский физико-технический институт (национальный исследовательский университет)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>St. Petersburg State University; Shirshov Institute of Oceanology, Russian Academy of Sciences; Moscow Institute of Physics and Technology (National Research University)</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Санкт-Петербургский государственный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>St. Petersburg State University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-3"><aff xml:lang="ru"><institution>Санкт-Петербургский государственный университет; Научный фонд «Международный центр по окружающей среде и дистанционному зондированию имени Нансена»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>St. Petersburg State University; Nansen International Environmental and Remote Sensing Center Scientific Foundation</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-4"><aff xml:lang="ru"><institution>Московский физико-технический институт (национальный исследовательский университет)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Moscow Institute of Physics and Technology (National Research University)</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>08</day><month>01</month><year>2025</year></pub-date><volume>17</volume><issue>4</issue><fpage>8</fpage><lpage>31</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Жмур В.В., Белоненко Т.В., Новоселова Е.В., Суетин Б.П., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Жмур В.В., Белоненко Т.В., Новоселова Е.В., Суетин Б.П.</copyright-holder><copyright-holder xml:lang="en">Zhmur V.V., Belonenko T.V., Novoselova E.V., Suetin B.P.</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://hydrophysics.spbrc.ru/jour/article/view/1378">https://hydrophysics.spbrc.ru/jour/article/view/1378</self-uri><abstract><p>Спутниковые данные дистанционного зондирования предоставляют обширный массив оптических, инфракрасных (ИК) и радиолокационных изображений поверхности океана, на которых видны многочисленные вытянутые вихревые структуры — филаменты. Их высокая контрастность на изображениях обусловлена наличием поверхностно-активных пленок и/или скоплений водорослей. Из-за вытянутой формы филаменты трудно отличить от вихрей с помощью автоматизированных методов идентификации. Однако и филаменты, и вихри характеризуются высокой относительной завихренностью и кинетической энергией. Трансформация вихрей в филаменты обусловлена взаимодействием с неоднородными фоновыми течениями. В данном исследовании применяется теоретическая модель растяжения мезомасштабных океанических вихрей к реальным данным альтиметрии. Цель исследования — оценить долю мезомасштабных вихрей, претерпевающих растяжение и трансформирующихся в филаменты, что приводит к перераспределению энергии с мезомасштаба на субмезомасштаб. Оценивается глобальное пространственное распределение областей с неограниченным и ограниченным растяжением мезомасштабных вихрей и интерпретируются полученные результаты. Уменьшение энергии вихрей за счет растяжения, вызванного фоновым потоком, рассматривается как потенциальный механизм передачи энергии от вихря к потоку, что может проявляться в виде эффекта отрицательной вязкости.</p></abstract><trans-abstract xml:lang="en"><p>Satellite remote sensing techniques offer a wealth of optical, infrared (IR), and radar images of the ocean surface, where we can observe numerous elongated vortex structures known as filaments. These filaments become readily visible in the imagery due to the presence of surfactant films and/or floating algae clusters on the sea’s surface. Given their elongated form, automated vortex identification methods do not readily distinguish filaments from vortices. Nevertheless, both filaments and vortices exhibit notable characteristics such as high relative vorticity and kinetic energy. The process by which vortices transform into filaments is a result of their interaction with spatially non-uniform background currents. In this study, we apply the theoretical principles regarding the stretching of mesoscale ocean vortices to real ocean conditions, inferred from altimeter data. The primary objective of this research is to assess the proportion of mesoscale ocean vortices that undergo stretching to become filaments, consequently facilitating the redistribution of energy from the mesoscale to the submesoscale. We provide a total assessment of the portion of the World Ocean’s surface where mesoscale vortices undergo significant stretching. We present maps that indicate the geographical distribution of regions where vortex stretching is not restricted and offer an interpretation of the findings. The reduction in the inherent energy of vortices due to the stretching induced by the background flow is explained as a potential mechanism for energy transfer from the vortex to the flow, possibly leading to the manifestation of the negative viscosity effect within this system.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>мезомасштабные вихри</kwd><kwd>филаменты</kwd><kwd>вытягивание</kwd><kwd>эллипсоид</kwd><kwd>энергия</kwd><kwd>отрицательная вязкость</kwd></kwd-group><kwd-group xml:lang="en"><kwd>mesoscale vortices</kwd><kwd>filaments</kwd><kwd>elongation</kwd><kwd>ellipsoid</kwd><kwd>energy</kwd><kwd>negative viscosity</kwd></kwd-group><funding-group><funding-statement xml:lang="en">Theoretical aspects of this research were developed under the auspices of the Institute of Oceanology of the Russian Academy of Sciences (State Assignment No. FMWE-2024-0016). Computational work was supported by St. Petersburg University (Grant No. 116442164). Figure generation and analysis of vortex evolution were supported by the Russian Science Foundation (Grant No. 24-77-00063; https://rscf.ru/project/24-77-00063/).</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Chelton D.B., Schlax M.G., Samelson R.M. Global observations of nonlinear mesoscale eddies. Progress in Oceanography. 2011;91:167–216. doi:10.1016/j.pocean.2011.01.002</mixed-citation><mixed-citation xml:lang="en">Chelton D.B., Schlax M.G., Samelson R.M. Global observations of nonlinear mesoscale eddies. Progress in Oceanography. 2011;91:167–216. doi:10.1016/j.pocean.2011.01.002</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Wood R.A. Mesoscale/Synoptic Coherent structures in Geophysical Turbulence. Editors: B.M. Jamart, J.C.J. 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