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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">gumrf</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Государственного университета морского и речного флота имени адмирала С. О. Макарова</journal-title><trans-title-group xml:lang="en"><trans-title>Vestnik Gosudarstvennogo universiteta morskogo i rechnogo flota imeni admirala S. O. Makarova</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2309-5180</issn><issn pub-type="epub">2500-0551</issn><publisher><publisher-name>ФГБОУ ВО «Государственный университет морского и речного флота имени адмирала С.О. Макарова»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21821/2309-5180-2026-18-3-501-514</article-id><article-id custom-type="edn" pub-id-type="custom">XQQCVQ</article-id><article-id custom-type="elpub" pub-id-type="custom">gumrf-756</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>СУДОВЫЕ ЭНЕРГЕТИЧЕСКИЕ УСТАНОВКИ И ИХ ЭЛЕМЕНТЫ (ГЛАВНЫЕ И ВСПОМОГАТЕЛЬНЫЕ)</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>SHIP POWER PLANTS AND THEIR ELEMENTS (MAIN AND AUXILIARY)</subject></subj-group></article-categories><title-group><article-title>Разработка программного комплекса BS-STIRLING 5.0 для моделирования рабочих процессов в двигателях Стирлинга</article-title><trans-title-group xml:lang="en"><trans-title>Development of the BS-STIRLING 5.0 software package for modelling operating processes in Stirling engines</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>Столяров</surname><given-names>С. П.</given-names></name><name name-style="western" xml:lang="en"><surname>Stolyarov</surname><given-names>S. P.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Столяров Сергей Павлович - кандидат технических наук, доцент</p><p>190121, Санкт-Петербург, ул. Лоцманская, 3</p></bio><bio xml:lang="en"><p>Stolyarov, Sergey P. - PhD in Technical Sciences, Associate Professor</p><p>3, Lotsmanskaya Str., St. Petersburg, 190121</p></bio><email xlink:type="simple">stsp56@yandex.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>Йе</surname><given-names>Маунг</given-names></name><name name-style="western" xml:lang="en"><surname>Ye</surname><given-names>Maung</given-names></name></name-alternatives><bio xml:lang="ru"><p>Йе Маунг - аспирант кафедры судовых ДВС и дизельных установок</p><p>190121, Санкт-Петербург, ул. Лоцманская, 3</p></bio><bio xml:lang="en"><p>Ye Maung - Postgraduate student of the Department of Marine Internal Combustion Engines and Diesel Propulsion Systems</p><p>3, Lotsmanskaya Str., St. Petersburg, 190121</p></bio><email xlink:type="simple">ie.maung@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Санкт-Петербургский государственный морской технический университет (СПбГМТУ)</institution><country>Россия</country></aff><aff xml:lang="en"><institution>St. Petersburg State Marine 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>13</day><month>07</month><year>2026</year></pub-date><volume>18</volume><issue>3</issue><fpage>501</fpage><lpage>514</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Столяров С.П., Йе М., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Столяров С.П., Йе М.</copyright-holder><copyright-holder xml:lang="en">Stolyarov S.P., Ye 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://journal.gumrf.ru/jour/article/view/756">https://journal.gumrf.ru/jour/article/view/756</self-uri><abstract><p>В статье представлена разработка программного комплекса BS‑STIRLING 5.0, предназначенного для вычислительного моделирования рабочих процессов в двигателях Стирлинга. Новая версия, выполненная на основе методологической базы BS-STIRLING 4.2, включает ряд существенных усовершенствований, направленных на повышение физической детализации и точности расчетов при сохранении высокой вычислительной эффективности, характерной для методик второго уровня. Ключевым нововведением является переход от функциональной схемы представления двигателя к дискретизации внутреннего контура на 44 расчетных объема, что позволяет анализировать локальные термодинамические, гидродинамические и теплопередающие процессы в течение рабочего цикла. Дополнительные улучшения включают глобально связанную итерационную схему, явное моделирование теплообмена в цилиндрах, обновленные корреляции для колебательных потоков при низких числах Рейнольдса, модель теплопередачи с учетом температурных градиентов стенок, а также введение двух новых входных параметров: температуры регулирования по адиабате в горячем и холодном цилиндрах. Эти изменения существенно повышают точность расчета индикаторных диаграмм, тепловых потерь и эффективных параметров цикла. Валидация на экспериментальных данных 29 двигателей Стирлинга различных типов показала, что расхождение между расчетными и экспериментальными значениями эффективной мощности и КПД не превышает 5 %. Средняя ошибка в прогнозировании мощности снижена с 5,2 % до 4,9 %, а ошибка по КПД — с 13,6 % до 4,1 % по сравнению с версией 4.2. Программный комплекс обладает удобным графическим интерфейсом, низким временем расчета и широкими возможностями визуализации, что делает BS-STIRLING 5.0 эффективным инструментом для инженерных расчетов, научных исследований и образовательных целей.</p></abstract><trans-abstract xml:lang="en"><p>The article presents the development of the BS-STIRLING 5.0 software package designed for computational modelling of operating processes in Stirling engines. The new version, developed on the basis of the methodological framework of BS-STIRLING 4.2, includes a number of significant improvements aimed at increasing physical detail and calculation accuracy while maintaining the high computational efficiency typical of second-order methods. The key innovation is the transition from a functional diagram representation of the engine to discretisation of the internal circuit into 44 control volumes, which makes it possible to analyse local thermodynamic, hydrodynamic, and heat-transfer processes during the operating cycle. Additional improvements include a globally coupled iterative scheme, explicit modelling of heat transfer in the cylinders, updated correlations for oscillatory flows at low Reynolds numbers, a heat-transfer model taking into account wall temperature gradients, and the introduction of two new input parameters: adiabatic control temperatures in the hot and cold cylinders. These changes significantly improve the accuracy of calculating indicator diagrams, heat losses, and effective cycle parameters. Validation against experimental data from 29 Stirling engines of various types showed that the discrepancy between calculated and experimental values of effective power and efficiency does not exceed 5 %. Compared with version 4.2, the average error in power prediction was reduced from 5.2 % to 4.9 %, while the efficiency error decreased from 13.6 % to 4.1 %. The software package has a user-friendly graphical interface, short calculation time, and extensive visualisation capabilities, which makes BS-STIRLING 5.0 an effective tool for engineering calculations, scientific research, and educational purposes.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>двигатель Стирлинга</kwd><kwd>программный комплекс</kwd><kwd>моделирование рабочих процессов</kwd><kwd>расчетный объем</kwd><kwd>рабочее тело</kwd><kwd>термодинамический цикл</kwd><kwd>адиабатная модель цикла</kwd><kwd>гидравлические потери</kwd><kwd>теплопередача в рабочих объемах</kwd><kwd>валидация</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Stirling engine</kwd><kwd>software package</kwd><kwd>modelling of operating processes</kwd><kwd>control volume</kwd><kwd>working fluid</kwd><kwd>thermodynamic cycle</kwd><kwd>adiabatic cycle model</kwd><kwd>hydraulic losses</kwd><kwd>heat transfer in working volumes</kwd><kwd>validation</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">Tew R. 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