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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">kaz29</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Казахстанско-Британского технического университета</journal-title><trans-title-group xml:lang="en"><trans-title>Herald of the Kazakh-British Technical University</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1998-6688</issn><issn pub-type="epub">2959-8109</issn><publisher><publisher-name>Казахстанско-Британский Технический Университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.55452/1998-6688-2024-21-2-139-151</article-id><article-id custom-type="elpub" pub-id-type="custom">kaz29-1261</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>МАТЕМАТИЧЕСКИЕ НАУКИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MATHEMATICAL SCIENCES</subject></subj-group></article-categories><title-group><article-title>ЧИСЛЕННОЕ МОДЕЛИРОВАНИЕ РАСПРОСТРАНЕНИЯ НЕФТИ И НЕФТЕПРОДУКТОВ ПРИ АВАРИЙНОМ РАЗЛИВЕ НА ВОДНОЙ ПОВЕРХНОСТИ</article-title><trans-title-group xml:lang="en"><trans-title>NUMERICAL MODELING OF OIL AND PETROLEUM PRODUCTS DISTRIBUTION IN CASE OF AN EMERGENCY SPILL ON THE WATER SURFACE</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0007-3888-6686</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Шалымова</surname><given-names>А. Е.</given-names></name><name name-style="western" xml:lang="en"><surname>Shalymova</surname><given-names>A. E.</given-names></name></name-alternatives><bio xml:lang="ru"><p>магистр</p><p>050000, г. Алматы</p></bio><bio xml:lang="en"><p>Master student</p><p>050000, Almaty</p></bio><email xlink:type="simple">shalymova.aigerim@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1937-8615</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Исахов</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Issakhov</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>PhD, профессор</p><p>050000, г. Алматы</p></bio><bio xml:lang="en"><p>PhD, Professor</p><p>050000, Almaty</p></bio><email xlink:type="simple">alibek.issakhov@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Казахстанско-Британский технический университет<country>Казахстан</country></aff><aff xml:lang="en">Kazakh British Technical University<country>Kazakhstan</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>01</day><month>07</month><year>2024</year></pub-date><volume>21</volume><issue>2</issue><fpage>139</fpage><lpage>151</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Шалымова А.Е., Исахов А.А., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Шалымова А.Е., Исахов А.А.</copyright-holder><copyright-holder xml:lang="en">Shalymova A.E., Issakhov A.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://vestnik.kbtu.edu.kz/jour/article/view/1261">https://vestnik.kbtu.edu.kz/jour/article/view/1261</self-uri><abstract><p>Загрязнение воды является актуальной проблемой на сегодняшний день. Особенно растет количество загрязнений воды нефтепродуктами, так как растет добыча нефти, происходит глобализация нефтеперевозок и вводятся в эксплуатацию новые месторождения. Это пагубно влияет на экосистему. Целью работы является численное моделирование распространения нефтепродукта на водной поверхности, которое может помочь повысить эффективность планирования и оперативного управления мероприятиями по локализации и ликвидации аварийных разливов. Были рассмотрены различные скорости выбросов загрязняющего вещества (бензина), чтобы исследовать, как меняется зона загрязнения при каждой скорости. Для моделирования этой задачи в качестве математической модели использовались уравнения Навье-Стокса для несжимаемой жидкости. Численное решение уравнений Навье-Стокса было достигнуто с помощью простого алгоритма. Было выполнено тестовое задание для проверки численного метода и математической модели. Результаты расчетов были сопоставлены с результатами эксперимента и показали отличное соответствие.</p></abstract><trans-abstract xml:lang="en"><p>Water pollution is an urgent problem today. The amount of water pollution with petroleum products is growing as oil production increases, oil transportation becomes globalized, and new fields are put into operation. This has a detrimental effect on the ecosystem. The aim of the work is to numerically simulate the spread of oil product on the water surface, which can help improve the efficiency of planning and operational management of measures for the localization and elimination of emergency spills. Different emission rates of the pollutant (gasoline) were considered in order to investigate how the pollution area varies for each speed. To model this problem, the Navier-Stokes equations for an incompressible fluid are used as a mathematical model. The numerical solution of the Navier-Stokes equations was achieved using a SIMPLE algorithm. A test problem was performed to verify the numerical method and the mathematical model. The calculation results were compared with the result of the experiment and showed an excellent match.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>математическая модель</kwd><kwd>разлив нефти</kwd><kwd>загрязнение воды</kwd></kwd-group><kwd-group xml:lang="en"><kwd>mathematical modelling</kwd><kwd>oil spill</kwd><kwd>water pollution</kwd></kwd-group><funding-group xml:lang="en"><funding-statement>This work is supported by the grant from the Ministry of Science and Higher Education of the  Republic of Kazakhstan (AP23489948).</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">Siddiqua S., Chaturvedi A. and Gupt R. (2020) Advances in Applied Mathematics, pp. 835–842.</mixed-citation><mixed-citation xml:lang="en">Siddiqua S., Chaturvedi A. and Gupt R. 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