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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">vmait</journal-id><journal-title-group><journal-title xml:lang="ru">Computational Mathematics and Information Technologies</journal-title><trans-title-group xml:lang="en"><trans-title>Computational Mathematics and Information Technologies</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2587-8999</issn><publisher><publisher-name>Донской государственный технический университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.23947/2587-8999-2021-1-1-26-35</article-id><article-id custom-type="elpub" pub-id-type="custom">vmait-29</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>ПАРАМЕТРИЗАЦИЯ КОЭФФИЦИЕНТА ВЕРТИКАЛЬНОГО ТУРБУЛЕНТНОГО ОБМЕНА В РАМКАХ ПОДХОДА LES</article-title><trans-title-group xml:lang="en"><trans-title>VERTICAL TURBULENT EXCHANGE COEFFICIENT  PARAMETRIZATION IN THE FRAMEWORK OF THE LES APPROACH</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>Проценко</surname><given-names>С. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Protsenko</surname><given-names>S. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Проценко Софья Владимировна, аспирант кафедры «Математика и информатика», младший научный сотрудник </p><p>344000, Ростов-на-Дону, пл. Гагарина, 1</p></bio><bio xml:lang="en"><p>Protsenko Sofya, Postgraduate student of the Department of Mathematics and Informatics, Junior Researcher of the Department of Scientific Research</p><p>Gagarin square, 1, Rostov-on-Don</p></bio><email xlink:type="simple">rab55555@rambler.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>Атаян</surname><given-names>А. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Atayan</surname><given-names>A. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Атаян Ася Михайловна, аспирант кафедры «Математика и информатика», младший научный сотрудник </p><p>344000, Ростов-на-Дону, пл. Гагарина, 1</p></bio><bio xml:lang="en"><p>Atayan Asya, Postgraduate student of the Department of Mathematics and Informatics, Junior Researcher of the Department of Scientific Research</p><p>Gagarin square, 1, Rostov-on-Don</p></bio><email xlink:type="simple">atayan24@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Донской государственный технический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Don State Technical University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>21</day><month>02</month><year>2023</year></pub-date><volume>5</volume><issue>1</issue><fpage>26</fpage><lpage>35</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Проценко С.В., Атаян А.М., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Проценко С.В., Атаян А.М.</copyright-holder><copyright-holder xml:lang="en">Protsenko S.V., Atayan A.M.</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://www.cmit-journal.ru/jour/article/view/29">https://www.cmit-journal.ru/jour/article/view/29</self-uri><abstract><p>В работе построена параметризация коэффициент вертикального турбулентного обмена на основе подхода LES. Для реализации данного подхода натурные данные о пульсациях скоростей водного потока в некоторых точках мелководных систем, полученные с помощью акустического доплеровского измерителя течений (ADCP) во время экспедиционных исследований, отфильтрованы с помощью двухэтапного алгоритма Калмана, а затем усреднены, после чего при помощи «подсеточной» модели турбулентности применен подход LES. Параметризация коэффициент вертикального турбулентного обмена используется в дальнейшем в математической модели волновой гидродинамики. </p></abstract><trans-abstract xml:lang="en"><p>The vertical turbulent exchange coefficient parametrization based on the LES approach is constructed in this paper. To implement this approach, water flow velocities pulsations full-scale data at some points of shallowwater systems obtained using an acoustic Doppler flow meter (ADCP) during expedition studies were filtered using two-stage Kalman algorithm, and then averaged, after which the LES approach was applied using subgrid turbulence model. The parametrization of the coefficient of vertical turbulent exchange is used in the wave hydrodynamics mathematical model.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>коэффициент вертикального турбулентного обмена</kwd><kwd>подсеточная модель турбулентности</kwd><kwd>турбулентное движение</kwd><kwd>моделирование больших вихрей</kwd><kwd>фильтр Калмана</kwd></kwd-group><kwd-group xml:lang="en"><kwd>vertical turbulent exchange coefficient</kwd><kwd>subgrid turbulence model</kwd><kwd>turbulent motion</kwd><kwd>modeling of large vortices</kwd><kwd>Kalman filter</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено при финансовой поддержке РФФИ в рамках научного проекта № 20-31-90105.</funding-statement><funding-statement xml:lang="en">The reported study was funded by RFBR according to the research project 20-31-90105.</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">Abalakin, I. V. Using an algebraic turbulence model for calculating non-stationary flows in the vicinity of recesses / I. V. Abalakin, A. N. Antonov, I. A. Graur, B. N. Chetverushkin // Mathematical modeling. - 2000. - Vol. 12, No. 1. - pp. 45-56.</mixed-citation><mixed-citation xml:lang="en">Abalakin, I. V. Using an algebraic turbulence model for calculating non-stationary flows in the vicinity of recesses / I. V. Abalakin, A. N. Antonov, I. A. Graur, B. N. Chetverushkin // Mathematical modeling. - 2000. - Vol. 12, No. 1. - pp. 45-56.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Alekseenko, E. V. Comparative analysis of classical and non-classical models of hydrodynamics of reservoirs with turbulent exchange / E. V. Alekseenko, O. V. Kolgunova, B. V. Sidorenko, A. E. Chistyakov / / Izvestiya SFU. Technical sciences. Thematic issue: Actual problems of mathematical modeling. - Taganrog: publishing house of TTI SFU, 2009. - Vol. 97. - No. 8. - pp. 6-18.</mixed-citation><mixed-citation xml:lang="en">Alekseenko, E. V. Comparative analysis of classical and non-classical models of hydrodynamics of reservoirs with turbulent exchange / E. V. Alekseenko, O. V. Kolgunova, B. V. Sidorenko, A. E. Chistyakov / / Izvestiya SFU. Technical sciences. Thematic issue: Actual problems of mathematical modeling. - Taganrog: publishing house of TTI SFU, 2009. - Vol. 97. - No. 8. - pp. 6-18.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Belotserkovsky O. M., Oparin A.M., Chechetkin V. M. Turbulence. New approaches. - Moscow: Nauka, 2002.</mixed-citation><mixed-citation xml:lang="en">Belotserkovsky O. M., Oparin A.M., Chechetkin V. M. Turbulence. New approaches. - Moscow: Nauka, 2002.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Chistyakov A.E., Protsenko S.V. The investigation of turbulent exchange by methods of stochastic analysis // Theory of Probability and its Applications. ‒ 2019. – Vol. 64.</mixed-citation><mixed-citation xml:lang="en">Chistyakov A.E., Protsenko S.V. The investigation of turbulent exchange by methods of stochastic analysis // Theory of Probability and its Applications. ‒ 2019. – Vol. 64.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Colombini M., Stocchino A. Wind effect in turbulence parameterization // ELSEVIER – Advances in Water Resources, 2005.</mixed-citation><mixed-citation xml:lang="en">Colombini M., Stocchino A. Wind effect in turbulence parameterization // ELSEVIER – Advances in Water Resources, 2005.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">George L. Mellor Development of a Turbulence Closure Model for Geophysical Fluid Problems // Reviews of geophysics. – Vol. 20, № 4. – 1982. – pp. 851-875.</mixed-citation><mixed-citation xml:lang="en">George L. Mellor Development of a Turbulence Closure Model for Geophysical Fluid Problems // Reviews of geophysics. – Vol. 20, № 4. – 1982. – pp. 851-875.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Jie Cui, Virendra C. Patel, Ching-Long Lin Large-eddy simulation of turbulent flow in a channel with rib roughness //ELSEVIER – Heat and fluid flow, 2003.</mixed-citation><mixed-citation xml:lang="en">Jie Cui, Virendra C. Patel, Ching-Long Lin Large-eddy simulation of turbulent flow in a channel with rib roughness //ELSEVIER – Heat and fluid flow, 2003.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Sukhinov A.I., Chistyakov A.E., Alekseenko E.V. Numerical realization of the three-dimensional model of hydrodynamics for shallow water basins on a high-performance system // Mathematical Models and Computer Simulations. – 2011. – Т. 3, № 5. – С. 562-574.</mixed-citation><mixed-citation xml:lang="en">Sukhinov A.I., Chistyakov A.E., Alekseenko E.V. Numerical realization of the three-dimensional model of hydrodynamics for shallow water basins on a high-performance system // Mathematical Models and Computer Simulations. – 2011. – Т. 3, № 5. – С. 562-574.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Sukhinov A.I., Chistyakov A.E., Protsenko E.A., Sidoryakina V.V., Protsenko S.V. Three-dimensional mathematical model of propagation of waves towards the shore // Communications in Computer and Information Science. ‒ 2018 ‒ Vol. 910. ‒ P. 322-335. DOI: 10.1007/978-3-319-99673-8_23.</mixed-citation><mixed-citation xml:lang="en">Sukhinov A.I., Chistyakov A.E., Protsenko E.A., Sidoryakina V.V., Protsenko S.V. Three-dimensional mathematical model of propagation of waves towards the shore // Communications in Computer and Information Science. ‒ 2018 ‒ Vol. 910. ‒ P. 322-335. DOI: 10.1007/978-3-319-99673-8_23.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">WinADCP User’s Guide RD Instruments Acoustic Doppler Solutions, P/N 957-6158-00.</mixed-citation><mixed-citation xml:lang="en">WinADCP User’s Guide RD Instruments Acoustic Doppler Solutions, P/N 957-6158-00.</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>
