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

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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Erratum

Acknowledgments

The research leading to these results has received funding from the European Union's Seventh Framework Programme (FP7/2007–2013) under grant agreement No. 339032 and from COST ACTION (MP 1305). H. Aluie was also supported through NSF grant OCE-1259794, DOE grants DE-SC0014318 and DE-561 NA0001944 and the LANL LDRD program through project number 20150568ER. J. Brasseur was supported by AFOSR Grant FA9550-16-0388. C. Meneveau was supported by the National Science Foundation (CBET 1507469).

Disclosure statement

No potential conflict of interest was reported by the authors.

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Funding

Air Force Office of Scientific Research [grant number FA9550-16-0388]; European Cooperation in Science and Technology [grant number COST ACTION, MP 1305]; FP7 Ideas: European Research Council [grant number 339032]; National Science Foundation [grant number CBET 1507469], [grant number OCE-1259794]; DOE [grant number DE-561 NA0001944], [grant number DE-SC0014318]; LANL LDRD Program [grant number 20150568ER].