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Effect of filter type on the topology of the eigenframe of the subfilter stress tensor and interscale energy transfer

Published online by Cambridge University Press:  18 November 2024

Mani Fathali Open the ORCID record for Mani Fathali [Opens in a new window] ,
Saber Khoei Open the ORCID record for Saber Khoei [Opens in a new window]  and
Mahzad Chitsaz Open the ORCID record for Mahzad Chitsaz [Opens in a new window]
Mani Fathali*
Affiliation:
Department of Aerospace Engineering, K.N. Toosi University of Technology, Tehran 1656983911, Iran
Saber Khoei
Affiliation:
Department of Aerospace Engineering, K.N. Toosi University of Technology, Tehran 1656983911, Iran
Mahzad Chitsaz
Affiliation:
Department of Aerospace Engineering, K.N. Toosi University of Technology, Tehran 1656983911, Iran
*
†Email address for correspondence: mfathali@kntu.ac.ir
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Abstract

Effects of different filter kernels, namely, spectral cutoff ($\mathcal {S}$-filter) and Gaussian ($\mathcal {G}$-filter), on the geometrical properties of the subfilter stress (SFS) tensor and the filtered strain-rate (FSR) tensor are analysed in a forced homogeneous isotropic turbulence. Utilizing the Euler angle–axis methodology, it is observed that despite similar mean behaviour, the eigenframe alignment between SFS and FSR exhibits a non-trivially different statistical distribution for two different filters. Besides the eigenframe alignment, the eigenstructure of these tensors is also investigated. It is found that in contrast to the eigenstructure of the FSR which does not show sensitive dependence on the filter kernel type, the eigenstructure of the SFS tensor is significantly influenced by the filter type. Subsequently, the impact of different filter kernels on the subfilter energy flux (SFEF) is investigated. It is observed that energy transfer in $\mathcal {G}$-filtering is preferably distributed over the forward region, whereas for the $\mathcal {S}$-filter, the SFEF is more evenly distributed over both forward–backward regions, leading to a heavy energy transfer cancellation. Additionally, by decomposing the SFEF into different partial energy fluxes, it is found that the impact of the $\mathcal {S}$-filtering on the eigenstructure of the SFS leads to the amplification of the backward energy transfer. Conversely, the $\mathcal {G}$-filtering amplifies the forward energy transfer by producing a more pronounced alignment between the contractive–extensive eigenvectors.

JFM classification

Turbulent Flows: Homogeneous turbulence Turbulent Flows: Isotropic turbulence
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 999 , 25 November 2024 , A67
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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