Inverse energy cascade in nonlocal helical shellmodels of turbulence
Fluid Dynamics
2015-11-04 v2
Abstract
Following the exact decomposition in eigenstates of helicity for the Navier-Stokes equations in Fourier space [F. Waleffe, Phys. Fluids A 4, 350 (1992)] we introduce a modified version of helical shell models for turbulence with non-local triadic interactions. By using both an analytical argument and numerical simulation, we show that there exists a class of models, with a specific helical structure, that exhibits a statistically stable inverse energy cascade, in close analogy with that predicted for the Navier-Stokes equations restricted to the same helical interactions. We further support the idea that turbulent energy transfer is the result of a strong entanglement among triads possessing different transfer properties.
Keywords
Cite
@article{arxiv.1508.06390,
title = {Inverse energy cascade in nonlocal helical shellmodels of turbulence},
author = {Massimo De Pietro and Luca Biferale and Alexei A. Mailybaev},
journal= {arXiv preprint arXiv:1508.06390},
year = {2015}
}