Инд. авторы:	Grebenev V.N., Oberlack M.
Заглавие:	Lie algebra methods for the application to the statistical theory of turbulence
Библ. ссылка:	Grebenev V.N., Oberlack M. Lie algebra methods for the application to the statistical theory of turbulence // Journal of Nonlinear Mathematical Physics. - 2008. - Vol.15. - Iss. 2. - P.227-251. - ISSN 1402-9251. - EISSN 1776-0852.
Внешние системы:	DOI: 10.2991/jnmp.2008.15.2.9; РИНЦ: 13593211; SCOPUS: 2-s2.0-49949086465; WoS: 000261203300009;
Реферат:	eng: Approximate Lie symmetries of the Navier-Stokes equations are used for the applications to scaling phenomenon arising in turbulence. In particular, we show that the Lie symmetries of the Euler equations are inherited by the Navier-Stokes equations in the form of approximate symmetries that allows to involve the Reynolds number dependence into scaling laws. Moreover, the optimal systems of all finite-dimensional Lie subalgebras of the approximate symmetry transformations of the Navier-Stokes are constructed. We show how the scaling groups obtained can be used to introduce the Reynolds number dependence into scaling laws explicitly for stationary parallel turbulent shear flows. This is demonstrated in the framework of a new approach to derive scaling laws based on symmetry analysis [11]-[13].
Издано:	2008
Физ. характеристика:	с.227-251