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Spectral eddy viscosity of stratified turbulence

Published online by Cambridge University Press:  18 August 2014

Sebastian Remmler  and
Stefan Hickel Open the ORCID record for Stefan Hickel [Opens in a new window]
Sebastian Remmler*
Affiliation:
Institute of Aerodynamics and Fluid Mechanics, Technische Universität München, 85747 Garching bei München, Germany
Stefan Hickel
Affiliation:
Institute of Aerodynamics and Fluid Mechanics, Technische Universität München, 85747 Garching bei München, Germany
*
†Email address for correspondence: remmler@tum.de
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Abstract

The spectral eddy viscosity (SEV) concept is a handy tool for the derivation of large-eddy simulation (LES) turbulence models and for the evaluation of their performance in predicting the spectral energy transfer. We compute this quantity by filtering and truncating fully resolved turbulence data from direct numerical simulations (DNS) of neutrally and stably stratified homogeneous turbulence. The results qualitatively confirm the plateau–cusp shape, which is often assumed to be universal, but show a strong dependence on the test filter size. Increasing stable stratification not only breaks the isotropy of the SEV but also modifies its basic shape, which poses a great challenge for implicit and explicit LES methods. We find indications that for stably stratified turbulence it is necessary to use different subgrid-scale (SGS) models for the horizontal and vertical velocity components. Our data disprove models that assume a constant positive effective turbulent Prandtl number.

JFM classification

Turbulent Flows: Homogeneous turbulence Turbulent Flows: Stratified turbulence Turbulent Flows: Turbulence modelling
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 755 , 25 September 2014 , R6
Copyright
© 2014 Cambridge University Press 

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