Varieties of dynamic multiscaling in fluid turbulence

We show that different ways of extracting time scales from time-dependent velocity structure functions lead to different dynamic-multiscaling exponents in fluid turbulence. These exponents are related to equal-time multiscaling exponents by different classes of bridge relations, which we derive. We...

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Bibliographic Details
Published in:Physical review letters 2004-07, Vol.93 (2), p.024501.1-024501.4, Article 024501
Main Authors: MITRA, Dhrubaditya, PANDIT, Rahul
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fluid dynamics
Fractals
Fundamental areas of phenomenology (including applications)
Isotropic turbulence
homogeneous turbulence
Physics
Turbulence simulation and modeling
Turbulent flows, convection, and heat transfer
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Summary:We show that different ways of extracting time scales from time-dependent velocity structure functions lead to different dynamic-multiscaling exponents in fluid turbulence. These exponents are related to equal-time multiscaling exponents by different classes of bridge relations, which we derive. We check this explicitly by detailed numerical simulations of the Gledzer-Ohkitani-Yamada shell model for fluid turbulence. Our results can be generalized to any system in which both equal-time and time-dependent structure functions show multiscaling.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.93.024501