Physics – Fluid Dynamics
Scientific paper
2012-03-01
Physics
Fluid Dynamics
10 pages, 3 figures
Scientific paper
We first summarize briefly several properties concerning the dynamics of two-dimensional (2D) turbulence, with an emphasis on the inverse cascade of energy to the largest accessible scale of the system. In order to study a similar phenomenon in three-dimensional (3D) turbulence undergoing strong solid-body rotation, we test a previously developed Large Eddy Simulation (LES) model against a high-resolution direct numerical simulation of rotating turbulence on a grid of $3072^3$ points. We then describe new numerical results on the inverse energy cascade in rotating flows using this LES model and contrast the case of 2D versus 3D forcing, as well as non-helical forcing (i.e., with weak overall alignment between velocity and vorticity) versus the fully helical Beltrami case, both for deterministic and random forcing. The different scaling of the inverse energy cascade can be attributed to the dimensionality of the forcing, with, in general, either a $k_{\perp}^{-3}$ or a $k_{\perp}^{-5/3}$ energy spectrum of slow modes at large scales, perpendicular referring to the direction of rotation. We finally invoke the role of shear in the case of a strongly anisotropic deterministic forcing, using the so-called ABC flow.
Baerenzung Julien
Mininni Pablo Daniel
Pouquet Annick
Rosenberg Danna
Sen Abhijit
No associations
LandOfFree
Inverse cascades in turbulence and the case of rotating flows 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 Inverse cascades in turbulence and the case of rotating flows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inverse cascades in turbulence and the case of rotating flows will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-165616