Generalized scaling in fully developed turbulence

Details Generalized scaling in fully developed turbulence Generalized scaling in fully developed turbulence

1995-10-12

arxiv.org/abs/chao-dyn/9510004v1

Nonlinear Sciences

Chaotic Dynamics

25 pages, plain Latex, figures are available upon request to the authors (struglia@roma2.infn.it, biferale@roma2.infn.it)

Scientific paper

In this paper we report numerical and experimental results on the scaling properties of the velocity turbulent fields in several flows. The limits of a new form of scaling, named Extended Self Similarity(ESS), are discussed. We show that, when a mean shear is absent, the self scaling exponents are universal and they do not depend on the specific flow (3D homogeneous turbulence, thermal convection , MHD). In contrast, ESS is not observed when a strong shear is present. We propose a generalized version of self scaling which extends down to the smallest resolvable scales even in cases where ESS is not present. This new scaling is checked in several laboratory and numerical experiment. A possible theoretical interpretation is also proposed. A synthetic turbulent signal having most of the properties of a real one has been generated.

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