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Lie algebra methods in turbulence
Author(s) -
Grebenev V.N.,
Oberlack M.,
Grishkov A.N.
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810593
Subject(s) - turbulence , scaling , homogeneous space , scaling law , reynolds number , physics , lie algebra , statistical physics , mathematical physics , mathematics , classical mechanics , mechanics , geometry , quantum mechanics
Approximate Lie symmetries of the Navier–Stokes equations are used for the applications to scaling phenomenon arising in turbulence. 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. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)