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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">10.7868/S2073667320040024</article-id><article-id custom-type="elpub" pub-id-type="custom">hydrophysics-710</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>ФУНДАМЕНТАЛЬНЫЕ ВОПРОСЫ ГИДРОФИЗИКИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>FUNDAMENTAL ISSUES OF HYDROPHYSICS</subject></subj-group></article-categories><title-group><article-title>Моделирование длинноволновой динамики на материковом склоне океана и регионах свала глубин</article-title><trans-title-group xml:lang="en"><trans-title>Modelling Long-Wave Dynamics on the Continental Slope of the Ocean and Areas of Sharp Depth Variation</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Вольцингер</surname><given-names>Н. Е.</given-names></name><name name-style="western" xml:lang="en"><surname>Voltzinger</surname><given-names>N. E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>117997, Нахимовский пр., д. 36, г. Москва</p></bio><bio xml:lang="en"><p>117997, Nahimovsky Pr., 36, Moscow</p></bio><email xlink:type="simple">lenna30@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Андросов</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Androsov</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>117997, Нахимовский пр., д. 36, г. Москва, Россия</p><p>27570, Ам Ханделсшафен, 12, г. Бремерхафен, Германия</p></bio><bio xml:lang="en"><p>117997, Nahimovsky Pr., 36, Moscow, Russia</p><p>Am Handelshafen 12, 27570 Bremerhaven, Germany</p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Институт океанологии им. П.П. Ширшова РАН<country>Россия</country></aff><aff xml:lang="en">Shirshov Institute of Oceanology RAS<country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">Институт океанологии им. П.П. Ширшова РАН; Институт полярных и морских исследований им. Альфреда Вегенера<country>Россия</country></aff><aff xml:lang="en">Shirshov Institute of Oceanology RAS; Alfred Wegener Institute Helmholtz Center for Polar and Marine Research<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2020</year></pub-date><pub-date pub-type="epub"><day>18</day><month>08</month><year>2022</year></pub-date><volume>13</volume><issue>4</issue><fpage>16</fpage><lpage>26</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Вольцингер Н.Е., Андросов А.А., 2021</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="ru">Вольцингер Н.Е., Андросов А.А.</copyright-holder><copyright-holder xml:lang="en">Voltzinger N.E., Androsov A.A.</copyright-holder><license 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/710">https://hydrophysics.spbrc.ru/jour/article/view/710</self-uri><abstract><p>На идеализированном 2D-разрезе материкового склона моделируется гравитационный сток более плотных водных масс, поступающих с континентального шельфа. На решениях двух задач в гидростатическом приближении и в полной негидростатической постановке сравниваются динамические характеристики процесса: поля скорости, давления, движение и структура уплотненной головной линзы. Такое же сравнение проводится на решении модельной задачи гравитационного приспособления к равновесию — имманентной черте динамики на материковом склоне. По результатам 3D-моделирования динамики и гидрологии пролива Ломбок (Индонезийский архипелаг) сравниваются поля гидростатической и негидростатической вертикальной скорости на свале глубин пролива. Приводятся результаты расчета хода вертикальной скорости и ее спектров в приливном цикле волны М2. Сравнение показывает непригодность моделирования склоновой динамики в гидростатическом приближении.</p></abstract><trans-abstract xml:lang="en"><p>On an idealized 2D-cross-section of the continental slope, the situation in the polar regions is simulated — dense water falls to the seafloor from the continental shelf. On the solutions of two problems in the hydrostatic approximation and in the complete nonhydrostatic formulation, the dynamic characteristics of the process are compared: the fields of velocity, pressure, motion and the structure of the dense lens of water. The same comparison is carried out on the solution of the model problem of gravitational adaptation to equilibrium — an immanent line of dynamics on the continental slope. Based on the results of 3D-modelling of the dynamics and hydrology of the Lombok Strait (Indonesian Archipelago), the fields of hydrostatic and nonhydrostatic vertical velocity are compared at the slope of the strait. The simulation result of the vertical velocity and its spectra in the tidal cycle of the M2 wave are presented. The comparison shows the inadequacy of modelling slope dynamics in the hydrostatic approximation.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>материковый склон</kwd><kwd>гидростатика/негидростатика</kwd><kwd>краевая задача</kwd><kwd>проекционный метод</kwd><kwd>сравнительные оценки</kwd></kwd-group><kwd-group xml:lang="en"><kwd>continental slope</kwd><kwd>hydrostatics/nonhydrostatics</kwd><kwd>boundary value problem</kwd><kwd>projection method</kwd><kwd>comparative assessments</kwd></kwd-group><funding-group xml:lang="ru"><funding-statement>Работа выполнена в рамках государственного задания (тема 0149–2019–0015).</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">Уизем Дж. Линейные и нелинейные волны. М.: Мир, 1977. 622 с.</mixed-citation><mixed-citation xml:lang="en">Whitham G.B. Linear and nonlinear waves. Moscow, Mir, 1977. 622 p. 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