Constrained Reversible system for Navier-Stokes Turbulence: evidence for Gallavotti's equivalence conjecture
arXiv:2011.09773 · doi:10.1103/PhysRevLett.127.194501
Abstract
Following the Gallavotti's conjecture, Stationary states of Navier-Stokes fluids are proposed to be described equivalently by alternative equations besides the NS equation itself. We propose a model system symmetric under time-reversal based on the Navier-Stokes equations constrained to keep the Enstrophy constant. It is demonstrated through high-resolved numerical experiments that the reversible model evolves to a stationary state which reproduces quite accurately all statistical observables relevant for the physics of turbulence extracted by direct numerical simulations at different Reynolds numbers. The possibility of using reversible models to mimic turbulence dynamics is of practical importance for coarse-grained version of Navier-Stokes equations, as used in Large-eddy simulations. Furthermore, the reversible model appears mathematically simpler, since enstrophy is bounded to be constant for every Reynolds. Finally, the theoretically interest in the context of statistical mechanics is briefly discussed.
References in corpus (29)
- Dynamical Ensembles in Nonequilibrium Statistical Mechanics
- A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
- Dynamical ensembles in stationary states
- Fluctuation-Dissipation: Response Theory in Statistical Physics
- Macroscopic fluctuation theory
- Cascades and transitions in turbulent flows
- Anisotropy in Turbulent Flows and in Turbulent Transport
- Chaotic hypothesis: Extension of Onsager reciprocity to large fields and the chaotic hypothesis
- Universal intermittent properties of particle trajectories in highly turbulent flows
- The Joint Cascade of Energy and Helicity in Three-Dimensional Turbulence
- Nonequilibrium and irreversibility
- Statistical equilibria of large scales in dissipative hydrodynamic turbulence
- Circulation in high Reynolds number isotropic turbulence is a bifractal
- Equivalence of Non-Equilibrium Ensembles and Representation of Friction in Turbulent Flows: The Lorenz 96 Model
- Dynamical ensembles equivalence in fluid mechanics
- Fluctuations in 2D reversibly-damped turbulence
- Steep cliffs and saturated exponents in three dimensional scalar turbulence
- Observation of thermal equilibrium in capillary wave turbulenc
- Hydrodynamic turbulence as a problem in nonequilibrium statistical mechanics
- Time-reversible Dynamical Systems for Turbulence
- Self-similar Subgrid-scale Models for Inertial Range Turbulence and Accurate Measurements of Intermittency
- Phase transition in time-reversible Navier-Stokes equations
- Equivalence of nonequilibrium ensembles in turbulence models
- Nonequilibrium and Fluctuation Relation
- On the local energy flux of turbulent flows
- Fluctuations of entropy production in turbulent thermal convection
- Time irreversibility in reversible shell models of turbulence
- On the probability distribution of power fluctuations in turbulence
- Weak formulation and scaling properties of energy fluxes in 3D numerical turbulent Rayleigh-Bénard convection
Cited by in corpus (5)
- Coherent structures at the origin of time irreversibility in wall turbulence
- Non-equilibrium Ensembles for the three-dimensional Navier-Stokes Equations
- Viscosity, Reversibillity, Chaotic Hypothesis, Fluctuation Theorem and Lyapunov Pairing
- Equivalence of nonequilibrium ensembles: Two-dimensional turbulence with a dual cascade
- Poles, Shocks and Tygers: The Time-reversible Burgers equation