The Varieties of Dynamic Multiscaling in Fluid Turbulence

Details The Varieties of Dynamic Multiscaling in Fluid Turbulence The Varieties of Dynamic Multiscaling in Fluid Turbulence

2003-09-10

arxiv.org/abs/nlin/0309037v1

Nonlinear Sciences

Chaotic Dynamics

4 pages 4 figures

Scientific paper

10.1103/PhysRevLett.93.024501

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 GOY 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.

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