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Lagrangian Description of Three-Dimensional Viscous Flows at Large Reynolds Numbersстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 16 сентября 2020 г.
- Автор: Setukha A.V.
- Журнал: Computational Mathematics and Mathematical Physics
- Том: 60
- Номер: 2
- Год издания: 2020
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 302
- Последняя страница: 326
- Переводные версии: О лагранжевом описании трехмерных течений вязкой жидкости при больших значениях числа Рейнольдса. ЖВМиМФ
- DOI: 10.1134/s0965542520020116
- Аннотация: Boundary layer theory is used to show that, at large Reynolds numbers, the three-dimensional Navier–Stokes equations can be rewritten in a form with diffusion velocity that was previously known for the cases of two-dimensional and axisymmetric flows. Relying on this hypothesis, a closed system of equations that is a development of a similar model for the indicated special cases is derived to describe fluid flows in the Lagrangian approach. Simultaneously, a number of mathematical issues are investigated. The existence of an integral representation for the velocity field with integrals with respect to Lagrangian coordinates is proved by analyzing the equations of motion of selected Lagrangian particles and applying the theory of ordinary differential equations with parameters. An equation describing the vorticity flux from the body surface is derived.
- Добавил в систему: Сетуха Алексей Викторович