Is the Kolmogorov Refined Similarity Relation Dynamic or Kinematic?
- 6 March 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 74 (10), 1755-1758
- https://doi.org/10.1103/physrevlett.74.1755
Abstract
High-resolution Navier-Stokes simulations are used to test the Kolmogorov refined similarity hypothesis (RSH). It is found that the statistical dependence between velocity increments and dissipation rate invoked by RSH is mostly due to kinematics at moderate Reynolds numbers. However, a dynamically induced contribution can be demonstrated. The longitudinal velocity increment is correlated more strongly with the purely longitudinal component of dissipation rate than with other components. An alternative formulation of the RSH is offered.Keywords
This publication has 12 references indexed in Scilit:
- Universal scaling laws in fully developed turbulencePhysical Review Letters, 1994
- Kolmogorov's refined similarity hypotheses for turbulence and general stochastic processesReviews of Modern Physics, 1994
- Experimental verification of the Kolmogorov refined similarity hypothesisPhysics of Fluids A: Fluid Dynamics, 1992
- Kolmogorov’s refined similarity hypothesesPhysical Review Letters, 1992
- Evidence against the Kolmogorov refined similarity hypothesisPhysics of Fluids A: Fluid Dynamics, 1992
- A statistical theory for the distribution of energy dissipation in intermittent turbulencePhysics of Fluids A: Fluid Dynamics, 1989
- Simple multifractal cascade model for fully developed turbulencePhysical Review Letters, 1987
- On the multifractal nature of fully developed turbulence and chaotic systemsJournal of Physics A: General Physics, 1984
- On Kolmogorov's inertial-range theoriesJournal of Fluid Mechanics, 1974
- A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds numberJournal of Fluid Mechanics, 1962