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Gabor mode enrichment in large eddy simulations of turbulent flow

Published online by Cambridge University Press:  21 September 2020

A. S. Ghate Open the ORCID record for A. S. Ghate [Opens in a new window]  and
S. K. Lele
A. S. Ghate
Affiliation:
Department of Aeronautics and Astronautics, Stanford University, Stanford, CA, USA
S. K. Lele*
Affiliation:
Department of Aeronautics and Astronautics, Stanford University, Stanford, CA, USA Department of Mechanical Engineering, Stanford University, Stanford, CA, USA
*
†Email address for correspondence: [email protected]
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Abstract

A turbulence enrichment model for subfilter-scale motions in large eddy simulations (LES) is comprehensively evaluated in the context of a posteriori analysis. The paper further develops the Gabor mode enrichment model first introduced in Ghate & Lele (J. Fluid Mech., vol. 819, 2017, pp. 494–539) by analysing three key requisites of LES enrichment using solenoidal small-scale velocity fields: (a) consistent spectral extrapolation and improvement of resolved single- and two-point second-order correlations; (b) ability to accurately capture the flow physics responsible for temporal decorrelation at small scales; and (c) accurate representation of spatially localized and intermittent interscale energy transfer between scales resolved by the coarse-grid LES and subfilter scales. We argue that the spatially and spectrally localized Gabor wavepackets offer an optimal basis to represent small-scale turbulence within quasi-homogeneous regions, although the alignment of fine-scale vorticity with large-scale strain appears to be somewhat overemphasized. Consequently, we interpret the resulting subfilter scales as those induced by a set of spatially dispersed Burgers–Townsend vortices with orientations determined by the larger scale velocity gradients resolved by the coarse-grid LES. Enrichment of coarse-grid simulations of two high Reynolds number flow configurations, homogeneous isotropic turbulence and a rough-wall turbulent boundary layer show promising results.

JFM classification

Turbulent Flows: Turbulence modelling Turbulent Flows: Turbulence simulation Turbulent Flows: Homogeneous turbulence
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 903 , 25 November 2020 , A13
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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References

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