Abstract
The simplest large eddy simulation of a turbulent field is that produced by the two-point average, and it is intimately related to the two-point difference, basic ingredient of the small-scale turbulence theory, see Sreenivasan and Antonia for a recent review. This simple average is a useful tool to understand some peculiar aspects of LES and the duality between the two-point average and the two-point difference is important as regards the elementary interaction between large and small scales. In this paper the simplest LES is applied to the case of a passive scalar convected by a turbulent velocity field and an equivalent form of the Yaglom inertial law is derived.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Germano, M. (2007). The two point average and the related subgrid model. In: Turbulence and Shear Flow Phenomena TSFP-5. Conference Proceedings 1: 309–314
Sreenivasan, K. R., & Antonia, R. A. (1997). The phenomenology of small scale turbulence. Ann. Rev. Fluid Mech. 29, 435–472
Germano, M. (2007b). The elementary energy transfer between the two-point velocity mean and difference. Phys. Fluids 19, 085105
Yaglom, A. M. (1949). On the local structure of a temperature field in a turbulent flow. Dokl. Akad. Nauk SSSR 69, 743
Kolmogorov, A. N. (1941). Dissipation of energy in locally isotropic turbulence. Dokl. Akad. Nauk SSSR 32, 16–18
Frisch, U., Bec, J., & Aurell, E. (2005). Locally homogeneous turbulence: Is it an inconsistent framework ? Phys. Fluids 17, 081706
Hosokawa, I. (2007). A paradox concerning the refined similarity hypothesis of Kolmorogov for isotropic turbulence. Prog. Theor. Phys. 118, 169–173
Kolmogorov, A. N. (1962). A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number. J. Fluid Mech. 13, 82–85
Lindborg, E., & Cho, J. Y. N. (2000). Determining the cascade of passive scalar variance in the lower stratosphere. Phys. Rev. Lett. 85, 5663–5666
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media B.V.
About this paper
Cite this paper
Germano, M. (2010). The Simplest LES. In: Armenio, V., Geurts, B., Fröhlich, J. (eds) Direct and Large-Eddy Simulation VII. ERCOFTAC Series, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3652-0_34
Download citation
DOI: https://doi.org/10.1007/978-90-481-3652-0_34
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-3651-3
Online ISBN: 978-90-481-3652-0
eBook Packages: EngineeringEngineering (R0)