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Analysis of the Kolmogorov equation for filtered wall-turbulent flows

Published online by Cambridge University Press:  04 April 2011

A. CIMARELLI  and
E. DE ANGELIS
A. CIMARELLI
Affiliation:
DIEM, Università di Bologna, Via Fontanelle 40, 47121 Forlì, Italy
E. DE ANGELIS*
Affiliation:
DIEM, Università di Bologna, Via Fontanelle 40, 47121 Forlì, Italy
*
†Email address for correspondence: e.deangelis@unibo.it
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Abstract

The analysis of the energy transfer mechanisms in a filtered wall-turbulent flow is traditionally accomplished via the turbulent kinetic energy balance, as in Härtel et al. (Phys. Fluids, vol. 6, 1994, p. 3130) or via the analysis of the energy spectra, as in Domaradzki et al. (Phys. Fluids, vol. 6, 1994, p. 1583). However, a generalized Kolmogorov equation for channel flow has recently been proven successful in accounting for both spatial fluxes and energy transfer across the scales in a single framework by Marati, Casciola & Piva (J. Fluid Mech., vol. 521, 2004, p. 191). In this context, the same machinery is applied for the first time to a filtered velocity field. The results will show what effects the subgrid scales have on the resolved motion in both physical and scale space, singling out the prominent role of the filter scale compared to the cross-over scale between production-dominated scales and inertial range, lc, and the reverse energy cascade region ΩB. Finally, we will briefly discuss how the filtered Kolmogorov equation can be used as a new tool for the assessment of large eddy simulation (LES) models. Classical purely dissipative eddy viscosity models will be analysed via an a priori procedure.

JFM classification

Turbulent Flows: Turbulent Flows Turbulent Flows: Turbulence modelling
Type
Papers
Information
Journal of Fluid Mechanics , Volume 676 , 10 June 2011 , pp. 376 - 395
Copyright
Copyright © Cambridge University Press 2011

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