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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 pub-id-type="doi">10.26467/2079-0619-2019-22-2-62-74</article-id><article-id custom-type="elpub" pub-id-type="custom">caht-1480</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>АВИАЦИОННАЯ И РАКЕТНО-КОСМИЧЕСКАЯ ТЕХНИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>AVIATION, ROCKET AND SPACE TECHNOLOGY</subject></subj-group></article-categories><title-group><article-title>АЛГОРИТМ ДЕФОРМАЦИИ СЕТКИ ДЛЯ УЧЕТА ЦИКЛИЧЕСКОГО УПРАВЛЕНИЯ И МАХОВЫХ ДВИЖЕНИЙ ЛОПАСТЕЙ В ЗАДАЧЕ ОБТЕКАНИЯ НЕСУЩЕГО ВИНТА ВЕРТОЛЕТА</article-title><trans-title-group xml:lang="en"><trans-title>ALGORITHM OF MESH DEFORMATION FOR ACCOUNTING CYCLIC BLADE CONTROL AND BLADES FLAPPING IN THE PROBLEM OF HELICOPTER MAIN ROTOR MODELING</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>Вершков</surname><given-names>В. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Vershkov</surname><given-names>V. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Вершков Владислав Александрович, младший научный сотрудник научно-исследовательского отделения No 5 ЦАГИ, аспирант МФТИ</p><p>г. Жуковский</p></bio><bio xml:lang="en"><p>Vladislav A. Vershkov, Junior Research Fellow of Scientific and Research Department No 5 of Central Aerohydrodynamic Institute, Postgraduate of the Moscow Institute of Physics and Technology (State University)</p><p>Zhukovsky</p></bio><email xlink:type="simple">vershkov.va@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Центральный аэрогидродинамический институт им. проф. Н.Е. Жуковского</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Central Aerohydrodynamic Institute</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>24</day><month>04</month><year>2019</year></pub-date><volume>22</volume><issue>2</issue><fpage>62</fpage><lpage>74</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Вершков В.А., 2019</copyright-statement><copyright-year>2019</copyright-year><copyright-holder xml:lang="ru">Вершков В.А.</copyright-holder><copyright-holder xml:lang="en">Vershkov V.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/1480">https://avia.mstuca.ru/jour/article/view/1480</self-uri><abstract><p>В данной работе представлен разработанный алгоритм деформации расчетной сетки для решения задач моделирования процесса обтекания несущего винта вертолета на режимах висения и косого обтекания при учете маховых, качательных движений и циклического изменения угла установки лопасти. В общем случае данный алгоритм может быть применен для моделирования аэродинамики твердых недеформируемых тел, отклоняющихся от своего начального положения на углы до 90 градусов в вертикальной и горизонтальной плоскостях относительно точки начала координат, а также совершающих вращательное движение на угол до 90 градусов вокруг оси, проходящей через центр координат и центр масс тела. В первой части представлен краткий обзор существующих методов деформации расчетной сетки для решения различных задач численного моделирования. К ним относятся методы перестроения сетки, подвижные сетки, сетки типа «Химера». Во второй части описаны алгоритмы выделения подобластей для деформации сетки и поиска конечной координаты узлов расчетной сетки при наличии заранее заданного закона управления лопастями. Приведены уравнения, описывающие форму зон деформации расчетной сетки, показано, какие переменные влияют на их размеры. В третьей части представлены результаты методических расчетов, подтверждающие работоспособность и ограничения при выборе зон деформации сетки. Также показано влияние размеров и формы зон деформации расчетной сетки на качество сеточных элементов. Данная работа носит методический характер и является предварительным этапом при проведении численного моделирования обтекания несущего винта вертолета с учетом автоматической балансировки винта и махового движения лопастей.</p></abstract><trans-abstract xml:lang="en"><p>This paper presents the developed algorithm for numerical grid deformation for solving the problems of modeling the flow around the helicopter main rotor in the horizontal flight mode with allowance for flapping movements and cyclic changes in the angle of the blade installation. In general, this algorithm can be applied to simulate the aerodynamics of solid bodies deviating from its initial position at angles up to 90 degrees in the vertical and horizontal planes relative to the origin point, and also performing a rotational motion at an angle up to 90 degrees around the axis through the center of coordinates and the body mass center. The first part provides a brief overview of the existing methods of the computational grid deformation for solving various problems of numerical simulation. These include methods for rebuilding the grid, moving grids and "Chimera" grids. The second part describes the algorithms for allocating of grid deformation and for finding the final coordinate of the computational grid nodes in the presence of a predetermined blade control law. The equations of the deformation zones shape in numerical grid are given. The influence of variables on zones sizes is shown. The third part presents the results of methodological calculations confirming the performance and limitations when choosing mesh deformation zones. The influence of the size and shape of the deformation zones of the numerical grid on the quality of the mesh elements is also shown. This work is methodical in nature and is a preliminary stage in the numerical modeling of the flow around the helicopter main rotor taking into account the automatic main rotor balancing and blades flapping.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>несущий винт вертолета</kwd><kwd>деформация сетки</kwd><kwd>балансировка лопастей</kwd><kwd>маховые движения лопастей</kwd><kwd>циклическое управление</kwd></kwd-group><kwd-group xml:lang="en"><kwd>helicopter main rotor</kwd><kwd>grid deformation</kwd><kwd>blade balancing</kwd><kwd>blade flapping</kwd><kwd>blade pitching</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">Jothiprasad G., Mavriplis D.J., Caughey D.A. Higher-order time integration schemes for the unsteady Navier-Stokes equations on unstructured meshes // Journal of Computational Physics. 2003. Vol. 191, Iss. 2. Nov. 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