Fluctuations in the Irreversible Decay of Turbulent Energy

Details Fluctuations in the Irreversible Decay of Turbulent Energy Fluctuations in the Irreversible Decay of Turbulent Energy

1996-09-27

arxiv.org/abs/chao-dyn/9610001v2

Phys. Rev. E 56 (1997) 5413-5422

Nonlinear Sciences

Chaotic Dynamics

26 pages, Latex Version 2.09, plus seceq.sty, a stylefile for sequential numbering of equations by section. This version inclu

Scientific paper

10.1103/PhysRevE.56.5413

A fluctuation law of the energy in freely-decaying, homogeneous and isotropic turbulence is derived within standard closure hypotheses for 3D incompressible flow. In particular, a fluctuation-dissipation relation is derived which relates the strength of a stochastic backscatter term in the energy decay equation to the mean of the energy dissipation rate. The theory is based on the so-called ``effective action'' of the energy history and illustrates a Rayleigh-Ritz method recently developed to evaluate the effective action approximately within probability density-function (PDF) closures. These effective actions generalize the Onsager-Machlup action of nonequilibrium statistical mechanics to turbulent flow. They yield detailed, concrete predictions for fluctuations, such as multi-time correlation functions of arbitrary order, which cannot be obtained by direct PDF methods. They also characterize the mean histories by a variational principle.

Affiliated with

Also associated with

No associations

Rating

Fluctuations in the Irreversible Decay of Turbulent Energy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fluctuations in the Irreversible Decay of Turbulent Energy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fluctuations in the Irreversible Decay of Turbulent Energy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-245438