Mean-Field Approximation and Extended Self-Similarity in Turbulence
- 14 November 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 87 (23) , 234501
- https://doi.org/10.1103/physrevlett.87.234501
Abstract
Recent experimental discovery of extended self-similarity (ESS) was one of the most interesting developments, enabling precise determination of the scaling exponents of fully developed turbulence. A sufficient condition for extended self-similarity in a general dynamical system is derived in this paper. It is also shown that if the pressure-gradient contributions are expressed in terms of velocity differences in the mean-field approximation [V. Yakhot, Phys. Rev. E 63, 026307 (2001)], then the ESS is a consequence of the Navier-Stokes equations.Keywords
All Related Versions
This publication has 4 references indexed in Scilit:
- Pressure Spectrum in Homogeneous TurbulencePhysical Review Letters, 2001
- Mean-field approximation and a small parameter in turbulence theoryPhysical Review E, 2001
- Is There Scaling in High-Reynolds-Number Turbulence?Progress of Theoretical Physics Supplement, 1998
- Extended self-similarity in turbulent flowsPhysical Review E, 1993