Effect of filter type on the statistics of energy transfer between resolved and subfilter scales from a-priori analysis of direct numerical simulations of isotropic turbulence

M. Buzzicotti, Moritz Linkmann, H. Aluie, J. Brasseur, C. Meneveau, Luca Biferale

Research output: Contribution to journalArticlepeer-review

Abstract

The effects of different filtering strategies on the statistical properties of the resolved-to-subfilter scale (SFS) energy transfer are analysed in forced homogeneous and isotropic turbulence. We carry out a-priori analyses of the statistical characteristics of SFS energy transfer by filtering data obtained from direct numerical simulations with up to 20483 grid points as a function of the filter cutoff scale. In order to quantify the dependence of extreme events and anomalous scaling on the filter, we compare a sharp Fourier Galerkin projector, a Gaussian filter and a novel class of Galerkin projectors with non-sharp spectral filter profiles. Of interest is the importance of Galilean invariance and we confirm that local SFS energy transfer displays intermittency scaling in both skewness and flatness as a function of the cutoff scale. Furthermore, we quantify the robustness of scaling as a function of the filtering type.
Original languageEnglish
Pages (from-to)167-197
Number of pages31
JournalJournal of Turbulence
Volume19
Issue number2
Early online date6 Jan 2018
DOIs
Publication statusPublished - 1 Feb 2018

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