Информационная система "Конференции"

Всероссийская конференция "Новые математические модели механики сплошных сред: построение и изучение", приуроченная к 90-летию академика Л. В. Овсянникова

Новосибирск, 23-28 апреля 2009 г.

Тезисы докладов

Geometric evolution of the Reynolds stress tensor in three-dimensional compressible turbulence

Gavrilyuk S., Gouin H.

Polytech Marseille,
UMR CNRS 6595 IUSTI (Marseille)

In general, the evolution of the Reynolds stress tensor is defined by an equation separating geometrical effects and turbulent source terms. We consider a particular case where the source term is neglected. Such an asymptotic model appears, for example, in the description of multi-dimensional long waves in presence of shear effects. In this case the Reynolds stress tensor can be expressed as the sum of three tensor products of vector fields associated only with the mean flow. The vector fields are governed by differential equations similar to the equations describing a gyroscope. The fluctuations of velocity are determined by a differential equation along the trajectories of mean flow whose coefficients depend only on the eigenvalues of the mean rate of deformation tensor. Finally, a new invariant of governing equations is found which can be considered as a "mathematical entropy" in the study of turbulent shock waves.

Примечание. Тезисы докладов публикуются в авторской редакции

Ваши комментарии
Обратная связь

[Головная страница]
[Конференции]

© 1996-2000, Институт вычислительных технологий СО РАН, Новосибирск
© 1996-2000, Сибирское отделение Российской академии наук, Новосибирск
Дата последней модификации: 06-Jul-2012 (11:52:45)