Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
2011-04-08
Nonlinear Sciences
Adaptation and Self-Organizing Systems
4 pages, 3 figures, submitted to PRL
Scientific paper
We examine three--dimensional turbulent flows in the presence of solid-body rotation and helical forcing in the framework of stochastic Schramm-L\"owner evolution curves (SLE). The data stems from a run on a grid of $1536^3$ points, with Reynolds and Rossby numbers of respectively 5100 and 0.06. We average the parallel component of the vorticity in the direction parallel to that of rotation, and examine the resulting $<\omega_\textrm{z}>_\textrm{z}$ field for scaling properties of its zero-value contours. We find for the first time for three-dimensional fluid turbulence evidence of nodal curves being conformal invariant, belonging to a SLE class with associated Brownian diffusivity $\kappa=3.6\pm 0.1$. SLE behavior is related to the self-similarity of the direct cascade of energy to small scales in this flow, and to the partial bi-dimensionalization of the flow because of rotation. We recover the value of $\kappa$ with a heuristic argument and show that this value is consistent with several non-trivial SLE predictions.
Mininni Pablo Daniel
Pouquet Annick
Rosenberg Danna
Thalabard Simon
No associations
LandOfFree
Conformal invariance in three-dimensional rotating turbulence 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 Conformal invariance in three-dimensional rotating turbulence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conformal invariance in three-dimensional rotating turbulence will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-353083