kaz29Вестник Казахстанско-Британского технического университетаHerald of the Kazakh-British Technical University1998-66882959-8109Казахстанско-Британский Технический Университет10.55452/1998-6688-2024-21-2-193-206kaz29-1266Research ArticleМАТЕМАТИЧЕСКИЕ НАУКИMATHEMATICAL SCIENCESМЕТОД ПРЕДОБУСЛАВЛИВАНИЯ ДЛЯ СУЩЕСТВЕННО ДОЗВУКОВЫХ ПОТОКОВPRE-CONDITIONING METHOD FOR SUBSTANTIALLY SUBSONIC FLOWShttps://orcid.org/0000-0003-1548-7061МанаповаА. К.МanapovaA.

магистр прикладной математики и информатики

050039, г. Алматы

Master of applied mathematics and computer science

050039, Almaty

manapova.a.k.math@gmail.comhttps://orcid.org/0000-0003-4360-3728БекетаеваА. О.BeketaevaA.

д-р.физ.-мат.наук

050010, г. Алматы

Dr. Phys.-Math. Sc.

050010, Almaty

azimaras10@gmail.comhttps://orcid.org/0000-0003-4874-5418МакаровВ. В.MakarovV.

канд. техн. наук.

117997, г. Москва

115409, г. Москва

Can. Tech. Sc.

117997, Moscow

115409, Moscow

makfone@mail.ruАкадемия гражданской авиацииКазахстанCivil aviation academyKazakhstanИнститут математики и математического моделирования КН МОН РККазахстанInstitute of mathematics and mathematical modeling CS МES RKKazakhstanИнститут проблем управления РАН; Национальный исследовательский ядерный университет «МИФИ»РоссияInstitute of control sciences RAS; National research nuclear university «MEPhI»; National research nuclear university «MEPhI»Russian Federation202402072024212193206Copyright © Манапова А.К., Бекетаева А.О., Макаров В.В., 20242024Манапова А.К., Бекетаева А.О., Макаров В.В.Мanapova A., Beketaeva A., Makarov V.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://vestnik.kbtu.edu.kz/jour/article/view/1266

Предлагаемая работа представляет собой детальное численное моделирование трехмерного дозвукового турбулентного течения в канале с основным упором на симметричные перпендикулярные струи, возникающие у стенок. Решение осредненных по Фавру уравнений Навье-Стокса, замкнутых моделью турбулентности, осуществляется с помощью алгоритма, основанного на схеме ENO. Для ускорения сходимости итерационного процесса используется метод предобуславливания и осуществляется переход к вектору примитивных переменных. Результаты исследования важны для лучшего понимания дозвуковых турбулентных потоков и могут найти применение в различных областях, включая инженерные и научные исследования. Актуальность работы подчеркивается разработкой эффективных численных алгоритмов, позволяющих решать дозвуковые трехмерные уравнения Навье-Стокса с использованием схем высокого порядка точности, а также с применением робастных моделей турбулентности для анализа сверхзвукового многокомпонентного течения. Научная новизна работы заключается в успешном использовании метода предобусловливания для ускорения сходимости итерационного процесса.

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The authors declare that there are no conflicts of interest present.