Scaling regimes of 2d turbulence with power law stirring: theories versus numerical experiments

Details Scaling regimes of 2d turbulence with power law stirring: theories versus numerical experiments Scaling regimes of 2d turbulence with power law stirring: theories versus numerical experiments

2009-07-20

arxiv.org/abs/0907.3396v2

J. Stat. Mech. (2009) P10012

Nonlinear Sciences

Chaotic Dynamics

19 pages, 5 figures. Typos corrected, some stylistic changes in abstract and text

Scientific paper

10.1088/1742-5468/2009/10/P10012

We inquire the statistical properties of the pair formed by the Navier-Stokes equation for an incompressible velocity field and the advection-diffusion equation for a scalar field transported in the same flow in two dimensions (2d). The system is in a regime of fully developed turbulence stirred by forcing fields with Gaussian statistics, white-noise in time and self-similar in space. In this setting and if the stirring is concentrated at small spatial scales as if due to thermal fluctuations, it is possible to carry out a first-principle ultra-violet renormalization group analysis of the scaling behavior of the model. Kraichnan's phenomenological theory of two dimensional turbulence upholds the existence of an inertial range characterized by inverse energy transfer at scales larger than the stirring one. For our model Kraichnan's theory, however, implies scaling predictions radically discordant from the renormalization group results. We perform accurate numerical experiments to assess the actual statistical properties of 2d-turbulence with power-law stirring. Our results clearly indicate that an adapted version of Kraichnan's theory is consistent with the observed phenomenology. We also provide some theoretical scenarios to account for the discrepancy between renormalization group analysis and the observed phenomenology.

Affiliated with

Also associated with

No associations

Rating

Scaling regimes of 2d turbulence with power law stirring: theories versus numerical experiments 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 Scaling regimes of 2d turbulence with power law stirring: theories versus numerical experiments, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scaling regimes of 2d turbulence with power law stirring: theories versus numerical experiments will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-696382