Time-reversible dynamical systems for turbulence
- 1 January 1998
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 31 (1) , 21-32
- https://doi.org/10.1088/0305-4470/31/1/008
Abstract
Dynamical Ensemble Equivalence between hydrodynamic dissipative equations and suitable time-reversible dynamical systems has been investigated in a class of dynamical systems for turbulence. The reversible dynamics is obtained from the original dissipative equations by imposing a global constraint. We find that, by increasing the input energy, the system changes from an equilibrium state to a non-equilibrium stationary state in which an energy cascade, with the same statistical properties of the original system, is clearly detected.Keywords
All Related Versions
This publication has 27 references indexed in Scilit:
- Equivalence of dynamical ensembles and Navier-Stokes equationsPhysics Letters A, 1996
- A Model of TurbulencePhysics Today, 1995
- Dynamical Ensembles in Nonequilibrium Statistical MechanicsPhysical Review Letters, 1995
- The non-Gaussian statistics of the velocity field in low-resolution large-eddy simulations of homogeneous turbulenceJournal of Fluid Mechanics, 1994
- Constrained Euler system for Navier-Stokes turbulencePhysical Review Letters, 1993
- Statistical mechanics of Euler equations in two dimensionsPhysical Review Letters, 1990
- Experimental study of the two-dimensional inverse energy cascade in a square boxJournal of Fluid Mechanics, 1986
- Two-dimensional turbulenceReports on Progress in Physics, 1980
- Eddy Viscosity in Two and Three DimensionsJournal of the Atmospheric Sciences, 1976
- Helical turbulence and absolute equilibriumJournal of Fluid Mechanics, 1973