cahtНаучный вестник МГТУ ГАCivil Aviation High Technologies2079-06192542-0119Moscow State Technical University of Civil Aviation (MSTU CA)caht-855Research ArticleСтатьиО РЕДУКЦИЯХ И ИНВАРИАНТНЫХ РЕШЕНИЯХ МОДЕЛИ K-Ε ТУРБУЛЕНТНОСТИON SYMMETRY REDUCTIONS AND INVARIANT SOLUTIONS OF THE k-ε TURBULENCE MODELХорьковаН. Г.Khor'kovaN. G.

кандидат физико-математических наук, доцент кафедры «Прикладная математика»,

ninakhorkova@yandex.ru

nkhorkova@diffiety.ac.ruМГТУ им. Н.Э. БауманаRussian Federation20162712201602247080Copyright © Хорькова Н.Г., 20162016Хорькова Н.Г.Khor'kova N.G.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://avia.mstuca.ru/jour/article/view/855

Методы группового анализа дифференциальных уравнений применяются к модели k - ε турбулентности. Рассмотрены редукции модели k - ε турбулентности по отношению к трехмерной подалгебре симметрий. Получены семейства точных решений

Methods of theoretical group analysis of differential equations are applied to the k -ε turbulence model. Symmetry reductions of the k -ε turbulence model with respect to some three-dimensional symmetry subalgebras are considered. Families of exact solutions are obtained.

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