Multiscaling and Structure Functions in Turbulence: An Alternative Approach
- 5 July 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 83 (1) , 76-79
- https://doi.org/10.1103/physrevlett.83.76
Abstract
We propose an alternative formulation of structure functions for the velocity field in fully developed turbulence. Instead of averaging moments of the velocity differences as a function of the distance, we suggest to average moments of the distances as a function of the velocity difference. This is like an “inverted” structure function, with a different statistics. On the basis of shell model calculations we obtain a new multiscaling spectrum.Keywords
All Related Versions
This publication has 21 references indexed in Scilit:
- Dispersion of passive tracers in closed basins: Beyond the diffusion coefficientPhysics of Fluids, 1997
- Anomalous Scaling of the Passive ScalarPhysical Review Letters, 1995
- Normal and anomalous scaling of the fourth-order correlation function of a randomly advected passive scalarPhysical Review E, 1995
- Universal Shape of Scaling Functions in TurbulencePhysical Review Letters, 1995
- The spatial structure and statistical properties of homogeneous turbulenceJournal of Fluid Mechanics, 1991
- Joint multifractal measures: Theory and applications to turbulencePhysical Review A, 1990
- Anomalous scaling laws in multifractal objectsPhysics Reports, 1987
- The multifractal spectrum of the dissipation field in turbulent flowsNuclear Physics B - Proceedings Supplements, 1987
- On the multifractal nature of fully developed turbulence and chaotic systemsJournal of Physics A: General Physics, 1984
- High-order velocity structure functions in turbulent shear flowsJournal of Fluid Mechanics, 1984