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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">omna</journal-id><journal-title-group><journal-title xml:lang="ru">Омский научный вестник</journal-title><trans-title-group xml:lang="en"><trans-title>Omsk Scientific Bulletin</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1813-8225</issn><issn pub-type="epub">2541-7541</issn><publisher><publisher-name>Омский государственный технический университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.25206/1813-8225-2026-199-31-38</article-id><article-id custom-type="edn" pub-id-type="custom">WVRGRQ</article-id><article-id custom-type="elpub" pub-id-type="custom">omna-448</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>МАШИНОСТРОЕНИЕ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>MECHANICAL ENGINEERING</subject></subj-group></article-categories><title-group><article-title>Разработка и расчётный анализ волнового гидродиода с профилем проточной части на основе кубических сплайнов</article-title><trans-title-group xml:lang="en"><trans-title>Development and computational analysis of a wave hydrodiode with a flow path profile based on cubic splines</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-4085-1809</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кайгородов</surname><given-names>С. Ю.</given-names></name><name name-style="western" xml:lang="en"><surname>Kaigorodov</surname><given-names>S. Yu.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Сергей Юрьевич Кайгородов, кандидат технических наук, доцент, доцент кафедры</p><p>кафедра «Гидромеханика и транспортные машины»</p><p>644050; пр. Мира, 11; Омск</p><p>AuthorID (РИНЦ): 686382, AuthorID (SCOPUS): 686382</p></bio><bio xml:lang="en"><p> Sergei Yurevich Kaigorodov, Candidate of Technical Sciences, Associate Professor, Associate Professor of the Department</p><p>Hydromechanics and Transport Machines Department</p><p>644050; Mira Ave., 11; Omsk</p><p>AuthorID (RSCI): 686382, AuthorID (SCOPUS): 686382</p></bio><email xlink:type="simple">Sergey7-2005@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Омский государственный технический университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Omsk State Technical University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>11</day><month>10</month><year>2026</year></pub-date><volume>0</volume><issue>3</issue><fpage>31</fpage><lpage>38</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Кайгородов С.Ю., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Кайгородов С.Ю.</copyright-holder><copyright-holder xml:lang="en">Kaigorodov S.Y.</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://onv.omgtu.ru/jour/article/view/448">https://onv.omgtu.ru/jour/article/view/448</self-uri><abstract><p>   В статье был предложен волновой гидродиод — пассивное гидравлическое устройство, в котором периодическое изменение полузазора вдоль канала формирует различие гидравлических сопротивлений в прямом и обратном направлениях течения. Профиль проточной части задан кубическим сплайном. Геометрия полностью определяется тремя независимыми параметрами: минимальным полузазором, полузазором в точке сшивки и относительной координатой точки сшивки. Численное моделирование выполнено методами вычислительной гидродинамики Computational Fluid Dynamics на основе стационарных осреднённых по Рейнольдсу уравнений Навье–Стокса и модели турбулентности k–ω. Дифференциально-геометрический анализ показал, что нулевая четвёртая производная кубического сплайна внутри каждого полиномиального участка ограничивает воспроизведение резких разрывов кривизны, необходимых для эффективного вихревого запирания потока. Полученные результаты демонстрируют, что сплайновая параметризация эффективна для плавных профилей, сокращая число варьируемых переменных, но требует замены на дискретные модели для геометрий с локальной агрессивностью кромок. Итоги исследования закладывают основу для многокритериальной топологической оптимизации пассивных запорных устройств ядерных реакторов.</p></abstract><trans-abstract xml:lang="en"><p>   The article introduces a wave hydrodiode — a passive hydraulic device in which periodic variation of the half-gap along the channel creates a difference in hydraulic resistance between forward and reverse flow directions. The profile of the flow section is defined by a cubic spline. The geometry is fully determined by three independent parameters: the minimum half-gap, the half-gap at the splice point, and the relative coordinate of the splice point. Numerical simulation is performed using Computational Fluid Dynamics methods based on steady-state Reynolds-averaged Navier–Stokes equations and the k–ω turbulence model. Differential-geometric analysis has shown that the zero fourth derivative of the cubic spline within each polynomial segment limits the reproduction of sharp curvature discontinuities necessary for effective vortex-based flow blocking. The obtained results demonstrate that spline parameterization is effective for smooth profiles, reducing the number of variable parameters, but requires replacement with discrete models for geometries with local edge aggressiveness. The findings lay the groundwork for multi-criteria topological optimization of passive shut-off devices for nuclear reactors.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>идродиод</kwd><kwd>волновой канал</kwd><kwd>кубический сплайн</kwd><kwd>турбулентная диссипация</kwd><kwd>диодность</kwd><kwd>CFD-моделирование</kwd><kwd>дифференциальная геометрия</kwd><kwd>пассивные системы безопасности</kwd></kwd-group><kwd-group xml:lang="en"><kwd>hydrodiode</kwd><kwd>wave channel</kwd><kwd>cubic spline</kwd><kwd>turbulent dissipation</kwd><kwd>diodicity</kwd><kwd>CFD simulation</kwd><kwd>differential geometry</kwd><kwd>passive safety systems</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Исследование выполнено за счёт средств гранта Российского научного фонда № 25-29-20049 и гранта Омской области (соглашение № 7). Автор не имеет финансовой заинтересованности в представленных материалах и методах</funding-statement><funding-statement xml:lang="en">The research was funded by the Russian Science Foundation grant No. 25-29-20049 and by the Omsk Region grant (agreement No. 7). The author has no financial interest in the presented materials or methods</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">Yoder G. L. Jr., Elkassabgi Y. M., De Leon G. I. [et al.]. Vortex diode analysis and testing for fluoride salt-cooled high-temperature reactors. Oak Ridge National Laboratory, 2011.</mixed-citation><mixed-citation xml:lang="en">Yoder G. L. Jr., Elkassabgi Y. M., De Leon G. I. [et al.]. Vortex diode analysis and testing for fluoride salt-cooled high-temperature reactors. 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