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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">10.23947/2587-8999-2024-8-1-55-62</article-id><article-id custom-type="elpub" pub-id-type="custom">vmait-136</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>Mathematical Modelling (Математическое моделирование)</subject></subj-group></article-categories><title-group><article-title>Моделирование турбулентных потоков вблизи берегозащитных сооружений с использованием различных моделей турбулентности</article-title><trans-title-group xml:lang="en"><trans-title>Modelling Turbulent Flows near Coastal Structures Using Various Turbulence Models</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-9656-8466</contrib-id><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, доцент кафедры математики, научный сотрудник, кандидат физико-математических наук</p><p>347936, г. Таганрог, ул. Инициативная, 48</p></bio><bio xml:lang="en"><p>Sofya V. Protsenko, Associate Professor at the Department of Mathematics, Researcher; , PhD in Physics and Mathematics</p><p>48, Initiative St., Taganrog, 347936</p></bio><email xlink:type="simple">rab55555@rambler.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Таганрогский институт имени А.П. Чехова (филиал) РГЭУ (РИНХ)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Taganrog Institute named after A.P. Chekhov (branch) of RSUE</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>02</day><month>04</month><year>2024</year></pub-date><volume>8</volume><issue>1</issue><fpage>55</fpage><lpage>62</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Проценко С.В., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Проценко С.В.</copyright-holder><copyright-holder xml:lang="en">Protsenko S.V.</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/136">https://www.cmit-journal.ru/jour/article/view/136</self-uri><abstract><p>Введение. Уменьшение ширины пляжей вследствие эрозии является важной проблемой, которая может решаться или, напротив, усугубляться берегозащитными сооружениями. Моделирование разбивающихся волн вблизи побережья и вокруг прибрежных сооружений может быть использовано для определения их воздействия на динамику развития береговой зоны. Целью работы является моделирование и анализ динамики турбулентных структур вокруг одиночной буны, полученных с использованием двух схем моделирования турбулентности RANS и LES.Материалы и методы. Исследована турбулентность, вызванная разбивающимися волнами. Моделирование было основано на батиметрических измерениях, проведенных на участке побережья Азовского моря и трехмерной модели волновой гидродинамики, дополненной различными конфигурациями расчета турбулентности.Результаты исследования. Получены результаты моделирования волновых процессов, генерирующих турбулентные потоки, при наличии берегозащитных сооружений с использованием различных моделей турбулентности. Результаты, полученные на основе осредненных по Рейнольдсу уравнений Навье-Стокса (RANS), сравниваются с результатами подхода моделирования крупных вихрей (LES) с динамической подсеточной моделью Смагоринского (DSM).Обсуждение и заключения. Результаты показали, что высоты волн, смоделированные LES, были выше, чем те, которые были смоделированы RANS в передней и подветренной областях берегозащитного сооружения и были ниже в верхней его части. Значит, согласно LES, после прохождения над буной было сохранено большее количество энергии волны. Векторы скорости водной среды показывают, что при использовании LES образовался вихрь, однако в случае RANS не было обнаружено никаких свидетельств образования таких турбулентных вихрей, что подтверждает лучшую производительность LES для моделирования турбулентности в прибрежной зоне. Согласно представленным результатам, LES является лучшим инструментом для генерации турбулентности в условиях набегающей волны в инженерных практиках.</p></abstract><trans-abstract xml:lang="en"><p>Introduction. The reduction in beach width due to erosion is a significant issue that can either be mitigated or exacerbated by coastal protection structures. Modelling breaking waves near the coast and around coastal structures can be used to determine their impact on the dynamics of the coastal zone. The objective of this study is to model and analyze the dynamics of turbulent structures around a single breakwater, obtained using two turbulence modelling schemes: RANS and LES.Materials and Methods. Turbulence induced by breaking waves was investigated. The modelling was based on bathymetric measurements conducted along the Azov Sea coast and a three-dimensional wave hydrodynamics model supplemented with various turbulence calculation configurations.Results. Modelling results of wave processes generating turbulent flows in the presence of coastal protection structures using different turbulence models were obtained. Results obtained based on Reynolds-averaged Navier-Stokes (RANS) equations are compared with the results of Large Eddy Simulation (LES) approach with Smagorinsky dynamic subgrid-scale model (DSM).Discussion and Conclusions. The results showed that wave heights simulated by LES were higher than those simulated by RANS in the front and leeward regions of the coastal protection structure and were lower in its upper part. Thus, according to LES, a greater amount of wave energy was preserved after passing over the breakwater. Velocity vectors of the water medium showed the formation of a vortex when LES was used, whereas no evidence of such turbulent vortices was detected in the case of RANS, confirming the better performance of LES for turbulence modelling in the coastal zone. According to the presented results, LES is the preferred tool for generating turbulence under incoming wave conditions in engineering practices.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>метод моделирования крупных вихрей (LES)</kwd><kwd>осредненные по Рейнольдсу уравнения Навье-Стокса (RANS)</kwd><kwd>волновое движение</kwd><kwd>турбулентность</kwd><kwd>подсеточная модель</kwd><kwd>динамическая модель Смагоринского</kwd><kwd>численное моделирование</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Large Eddy Simulation approach (LES)</kwd><kwd>Reynolds Averaged Navier-Stokes equations (RANS)</kwd><kwd>wave motion</kwd><kwd>turbulence</kwd><kwd>subgrid model</kwd><kwd>Smagorinsky dynamic subgrid-scale model</kwd><kwd>numerical modelling</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено за счет гранта Российского научного фонда № 22-71-00015, https://rscf.ru/project/22-71-00015/</funding-statement><funding-statement xml:lang="en">The study was supported by the Russian Science Foundation grant no. 22-71-00015, https://rscf.ru/project/22-71-00015/</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">Alekseenko Е., Roux B., Sukhinov А., Kotarba R., Fougere D. 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