Effective Dissipation and Turbulence in Spectrally Truncated Euler Flows
Chaotic Dynamics
2009-11-10 v2
Abstract
A new transient regime in the relaxation towards absolute equilibrium of the conservative and time-reversible 3-D Euler equation with high-wavenumber spectral truncation is characterized. Large-scale dissipative effects, caused by the thermalized modes that spontaneously appear between a transition wavenumber and the maximum wavenumber, are calculated using fluctuation dissipation relations. The large-scale dynamics is found to be similar to that of high-Reynolds number Navier-Stokes equations and thus to obey (at least approximately) Kolmogorov scaling.
Cite
@article{arxiv.nlin/0410064,
title = {Effective Dissipation and Turbulence in Spectrally Truncated Euler Flows},
author = {C. Cichowlas and P. Bonaiti and F. Debbasch and M. Brachet},
journal= {arXiv preprint arXiv:nlin/0410064},
year = {2009}
}
Comments
4 pages, 5 figures new version with only 4 figures; title changed; manuscript changed; accepted by PRL