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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
Authors:M. Buzzicotti  H. Aluie  L. Biferale  J. Brasseur  C. Meneveau
Affiliation:1. Department of Physics and INFN, University of Rome Tor Vergata, Rome, Italy;2. Department of Mechanical Engineering, University of Rochester, Rochester, NY, USA;3. Aerospace Engineering Sciences, University of Colorado, Boulder, CO, USA;4. Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, MD, USA
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.
Keywords:Isotropic turbulence  large eddy simulation
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