Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2007-10-30
Nonlinear Sciences
Chaotic Dynamics
29 pages, 18 figures. For figures with better resolution, please download the preprint available at the website of the Interna
Scientific paper
We systematise the study of dynamic multiscaling of time-dependent structure functions in different models of passive-scalar and fluid turbulence. We show that, by suitably normalising these structure functions, we can eliminate their dependence on the origin of time at which we start our measurements and that these normalised structure functions yield the same linear bridge relations that relate the dynamic-multiscaling and equal-time exponents for statistically steady turbulence. We show analytically, for both the Kraichnan Model of passive-scalar turbulence and its shell model analogue, and numerically, for the GOY shell model of fluid turbulence and a shell model for passive-scalar turbulence, that these exponents and bridge relations are the same for statistically steady and decaying turbulence. Thus we provide strong evidence for dynamic universality, i.e., dynamic-multiscaling exponents do not depend on whether the turbulence decays or is statistically steady.
Mitra Dhrubaditya
Pandit Rahul
Sankar Ray Samriddhi
No associations
LandOfFree
The Universality of Dynamic Multiscaling in Homogeneous, Isotropic Turbulence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Universality of Dynamic Multiscaling in Homogeneous, Isotropic Turbulence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Universality of Dynamic Multiscaling in Homogeneous, Isotropic Turbulence will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-365702