We present a numerical study of two-dimensional turbulent flows in the enstropy cascade regime, with different large-scale energy sinks. In particular, we study the statistics of more-than-differentiable velocity fluctuations by means of two sets of statistical estimators, namely inverse statistics and second-order differences. In this way, we are able to probe statistical fluctuations that are not captured by the usual spectral analysis. We show that a new set of exponents associated to more-than-differentiable fluctuations of the velocity field exists. We also present a numerical investigation of the temporal properties of u measured in different spatial locations.
%0 Journal Article
%1 biferale:1012
%A Biferale, Luca
%A Cencini, Massimo
%A Lanotte, Alesandra S.
%A Vergni, Davide
%D 2003
%I AIP
%J Physics of Fluids
%K cencini exit-time fluctuations statistical_analysis turbulence velocity
%N 4
%P 1012-1020
%R 10.1063/1.1557527
%T Inverse velocity statistics in two-dimensional turbulence
%U http://link.aip.org/link/?PHF/15/1012/1
%V 15
%X We present a numerical study of two-dimensional turbulent flows in the enstropy cascade regime, with different large-scale energy sinks. In particular, we study the statistics of more-than-differentiable velocity fluctuations by means of two sets of statistical estimators, namely inverse statistics and second-order differences. In this way, we are able to probe statistical fluctuations that are not captured by the usual spectral analysis. We show that a new set of exponents associated to more-than-differentiable fluctuations of the velocity field exists. We also present a numerical investigation of the temporal properties of u measured in different spatial locations.
@article{biferale:1012,
abstract = {We present a numerical study of two-dimensional turbulent flows in the enstropy cascade regime, with different large-scale energy sinks. In particular, we study the statistics of more-than-differentiable velocity fluctuations by means of two sets of statistical estimators, namely inverse statistics and second-order differences. In this way, we are able to probe statistical fluctuations that are not captured by the usual spectral analysis. We show that a new set of exponents associated to more-than-differentiable fluctuations of the velocity field exists. We also present a numerical investigation of the temporal properties of u measured in different spatial locations.},
added-at = {2007-10-05T00:54:09.000+0200},
author = {Biferale, Luca and Cencini, Massimo and Lanotte, Alesandra S. and Vergni, Davide},
biburl = {https://www.bibsonomy.org/bibtex/2b4398266c1a193ca7f7d96ed31bce22b/mcencini},
description = {Physics of Fluids: Abstract View},
doi = {10.1063/1.1557527},
interhash = {8862c3eb710a20500fa323df0031c868},
intrahash = {b4398266c1a193ca7f7d96ed31bce22b},
journal = {Physics of Fluids},
keywords = {cencini exit-time fluctuations statistical_analysis turbulence velocity},
number = 4,
pages = {1012-1020},
publisher = {AIP},
timestamp = {2007-10-05T00:54:09.000+0200},
title = {Inverse velocity statistics in two-dimensional turbulence},
url = {http://link.aip.org/link/?PHF/15/1012/1},
volume = 15,
year = 2003
}