Skip to main content

Two-Point Closure Used for a Sub-Grid Scale Model in Large Eddy Simulations

  • Conference paper
Turbulent Shear Flows 4

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

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

    Article  ADS  Google Scholar 

  • Aupoix, B., Cousteix, J. (1982): Modèles simples de tensions de sous-maille en turbulence homogène isotrope. Rech. Aerosp. 4, 273

    Google Scholar 

  • Basdevant, C., Legras, B., Sadourny, R., Beland, M. (1981): A study of barotropic model flows: Intermittency, waves and predictability. J. Atmos. Sci. 38, 2305

    Article  ADS  Google Scholar 

  • Bertoglio, J. P., Mathieu, J.: Study of sub-grid models for sheared turbulence. 4th Symposium presented at the Turbulent Shear Flows 4 (Karlsruhe 1983 )

    Google Scholar 

  • 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

    Google Scholar 

  • Chollet, J. P., Lesieur, M. (1981): Parametrization of the small scales of three-dimensional isotropic turbulence utilizing spectral closures. J. Atmos. Sci. 38, 2747

    Article  ADS  Google Scholar 

  • 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

    Google Scholar 

  • 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

    Article  ADS  MATH  Google Scholar 

  • Kraichnan, R. H. (1976): Eddy viscosity in two- and three-dimensions. J. Atmos. Sci. 33, 1521

    Article  ADS  Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

  • Rogallo, R. S. (1981): Numerical experiments in homogeneous turbulence. NASA Technical Memorandum 81315, NASA Ames Research Center, USA

    Google Scholar 

  • Siggia, E. D., Patterson, G. S. (1978): Intermittency effects in a numerical simulation of stationary three-dimensional turbulence. J. Fluid Mech. 86, 567

    Article  ADS  MATH  Google Scholar 

  • Yoshizawa, A. (1982): A statistically derived sub-grid model for the large-eddy simulation of turbulence. Phys. Fluids 25, 1532

    Article  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints 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

Publish with us

Policies and ethics