Abstract
A statistical two-point closure — the Eddy Damped Quasi Normal Markovian (EDQNM) — approximation is used to model the sub-grid scales (SGS) in a large-eddy simulation (LES) of three-dimensional homogeneous turbulence. First, eddy viscosities and diffusivities are derived from the hypothesis of a k −5/3 energy spectrum to parameterize the small scales of velocity and passive scalar fields: in that case, the LES yields fairly good k −5/3 inertial spectra up to the cutoff wavenumber. Then, a complete coupling between the LES in the large scales and the EDQNM calculation of the small scales is developed. Finally, the numerical simulation of large eddies is assessed from the standpoint of predictability studies.
The National Center for Atmospheric Research is sponsored by the National Science Foundation
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
André, J. C., Lesieur, M. (1977): Influence of helicity on the evolution of isotropic turbulence at high Reynolds number. J. Fluid Mech. 81, 181
Aupoix, B., Cousteix, J. (1982): Modèles simples de tensions de sous-maille en turbulence homogène isotrope. Rech. Aerosp. 4, 273
Basdevant, C., Legras, B., Sadourny, R., Beland, M. (1981): A study of barotropic model flows: Intermittency, waves and predictability. J. Atmos. Sci. 38, 2305
Bertoglio, J. P., Mathieu, J.: Study of sub-grid models for sheared turbulence. 4th Symposium presented at the Turbulent Shear Flows 4 (Karlsruhe 1983 )
Chollet, J. P. (1983): Statistical closure to derive a sub-grid-scale modeling for large eddy simulations of three-dimensional turbulence. NCAR Technical Note, TN-206 + STR
Chollet, J. P., Lesieur, M. (1981): Parametrization of the small scales of three-dimensional isotropic turbulence utilizing spectral closures. J. Atmos. Sci. 38, 2747
Chollet, J. P., Lesieur, M. (1982): Modélisation sous-maille des flux de quantité de mouvement et de chaleur en turbulence tridimensionnelle isotrope. La Météorologié, Vie Série 29–30, 183
Herring, J. R., Schertzer, D., Lesieur, M., Newman, G. R., Chollet, J. P., Larchevêque, M. (1982): A comparative assessment of spectral closures as applied to passive scalar diffusion. J. Fluid Mech. 124, 411
Kraichnan, R. H. (1976): Eddy viscosity in two- and three-dimensions. J. Atmos. Sci. 33, 1521
Larchevêque, M., Chollet, J. P., Herring, J. R., Lesieur, M., Newman, G. R., Schertzer, D.: Two-point closure applied to a passive scalar in decaying isotropic turbulence, in Turbulent Shear Flow 2, ed. by L. J. S. Bradbury, F. Durst, B. E. Launder, F. W. Schmidt, J. H. Whitelaw ( Springer, Berlin, Heidelberg, New York 1980 ) p. 50
Metais, O., Chollet, J. P., Lesieur, M.: Predictability of the large scales of freely evolving three- and two-dimensional turbulence, AIP Conference Proceedings No. 106, in Predictability of Fluid Motions, La Jolla Institute, ed. by G. Holloway and B. J. West
Rogallo, R. S. (1981): Numerical experiments in homogeneous turbulence. NASA Technical Memorandum 81315, NASA Ames Research Center, USA
Siggia, E. D., Patterson, G. S. (1978): Intermittency effects in a numerical simulation of stationary three-dimensional turbulence. J. Fluid Mech. 86, 567
Yoshizawa, A. (1982): A statistically derived sub-grid model for the large-eddy simulation of turbulence. Phys. Fluids 25, 1532
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1985 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chollet, J.P. (1985). Two-Point Closure Used for a Sub-Grid Scale Model in Large Eddy Simulations. In: Bradbury, L.J.S., Durst, F., Launder, B.E., Schmidt, F.W., Whitelaw, J.H. (eds) Turbulent Shear Flows 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-69996-2_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-69996-2_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-69998-6
Online ISBN: 978-3-642-69996-2
eBook Packages: Springer Book Archive