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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">caht</journal-id><journal-title-group><journal-title xml:lang="ru">Научный вестник МГТУ ГА</journal-title><trans-title-group xml:lang="en"><trans-title>Civil Aviation High Technologies</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2079-0619</issn><issn pub-type="epub">2542-0119</issn><publisher><publisher-name>Moscow State Technical University of Civil Aviation (MSTU CA)</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">caht-120</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>Статьи</subject></subj-group></article-categories><title-group><article-title>Моделирование эволюции переплетенных вихревых нитей методом вихревых элементов</article-title><trans-title-group xml:lang="en"><trans-title>VORTEX ELEMENT METHOD SIMULATION OF KNOTTED VORTEX FILAMENTS EVOLUTION</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>Дергачев</surname><given-names>С. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Dergachev</surname><given-names>S. A.</given-names></name></name-alternatives><email xlink:type="simple">noemail@neicon.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>Щеглов</surname><given-names>Г. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Shcheglov</surname><given-names>G. A.</given-names></name></name-alternatives><email xlink:type="simple">noemail@neicon.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="ru" id="aff-1"><institution>МГТУ им. Н.Э. Баумана</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2015</year></pub-date><pub-date pub-type="epub"><day>07</day><month>11</month><year>2016</year></pub-date><issue>212</issue><fpage>18</fpage><lpage>25</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Дергачев С.А., Щеглов Г.А., 2016</copyright-statement><copyright-year>2016</copyright-year><copyright-holder xml:lang="ru">Дергачев С.А., Щеглов Г.А.</copyright-holder><copyright-holder xml:lang="en">Dergachev S.A., Shcheglov G.A.</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://avia.mstuca.ru/jour/article/view/120">https://avia.mstuca.ru/jour/article/view/120</self-uri><abstract><p>Статья посвящена описанию новой модификации алгоритма расчета движения вихревых нитей. Представлены результаты методических исследований, показывающие, что данный алгоритм позволяет корректно моделировать растяжение, сжатие, изгиб и перезамыкание вихревых нитей, а также известные качественные явления, возникающие при взаимодействии вихревых колец. Особое внимание уделено повторению в расчете недавно исследованной экспериментально эволюции переплетенных вихрей. Показано, что с помощью разработанного алгоритма могут быть устойчиво смоделированы сложные эволюции вихревых петель. Главное достоинство нового алгоритма - устойчивость и высокая скорость вычислений.</p></abstract><trans-abstract xml:lang="en"><p>Research paper is devoted to the description of a new modification of the algorithm for calculating the vortex filaments motion. The results of methodological studies showing that this algorithm can correctly simulate the elongation, shortening, bending and reconnection of vortex filaments, as well as known qualitative phenomena arising from the vortex rings interaction are given. Particular attention is paid to the repetition of the calculation recently investigated experimentally the evolution of bound vortices. It is shown that with the developed algorithm can be steadily modeled complex vortex loops evolution. The main advantage of the new algorithm is stability and high-speed computing.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>переплетенные вихри</kwd><kwd>вихревые нити</kwd><kwd>метод вихревых элементов</kwd><kwd>вычислительная гидродинамика</kwd></kwd-group><kwd-group xml:lang="en"><kwd>knotted vortices</kwd><kwd>vortex filament</kwd><kwd>vortex element method</kwd><kwd>computational fluid dynamic</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">Трехмерное отрывное обтекание тел произвольной формы / под ред. С.М. Белоцерковского. М.: ЦАГИ, 2000. 265 с.</mixed-citation><mixed-citation xml:lang="en">Trekhmernoe otrihvnoe obtekanie tel proizvoljnoyj formih. pod red. S.M. Belocerkovskogo. M.: CAGI. 2000. 265 p. 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