Skip to main content

Spectral closures to derive a subgrid scale modeling for large eddy simulations

  • Conference paper
  • First Online:
Macroscopic Modelling of Turbulent Flows

Part of the book series: Lecture Notes in Physics ((LNP,volume 230))

Abstract

Spectral two-point closures are used to derive a subgrid scale model for large eddy simulations of velocity and passive scalar fields of fully developed three-dimensional isotropic turbulence. This model is a “full coupling” of explicit calculations of large scales and statistical evolutions of small scales. It can be simplified into a formalism of eddy-viscosity and eddy diffusivity. The predictability of the large scales is impaired by the growth of errors which can appear in small scales ; this error-growth is studied by comparing two realizations of the velocity field.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Aupoix, B., 1984, Eddy viscosity subgrid scale models for homogeneous turbulence, Workshop on Macroscopic modelling of turbulent flows and fluid mixtures, Nice, Déc. 1984.

    Google Scholar 

  • Bertoglio, J.P., 1984, A stochastic subgrid model for sheared turbulence, Workshop on Macroscopic modelling of turbulent flows and fluid mixtures, Nice, Déc. 1984.

    Google Scholar 

  • Chollet, J.P., 1983 a, Statistical closure to derive a subgrid-scale modelling for large eddy simulations of three-dimensional turbulence, NCAR Technical Note TN-206 + STR, Boulder, Colorado.

    Google Scholar 

  • Chollet, J.P., 1983 b, Two-point closures as a subgrid scale modelling for large eddy simulations, Turbulent shear flows IV, ed. Springer-Verlag.

    Google Scholar 

  • Chollet J.P. and Lesieur,M., 1981, Parametrization of small scales of three-dimensional isotropic turbulence utilizing spectral closures, J. Atmos. Sci., 38, 2747–2757.

    Google Scholar 

  • Chollet J.P. and Lesieur, M., 1982, Modélisation sous-maille des flux de quantité de mouvement et de chaleur en turbulence tridimensionnelle isotrope, La Meteorologie, VIe série, 29 et 30, 183–191.

    Google Scholar 

  • Chollet, J.P., 1984, Turbulence tridimensionnelle isotrope: modélisation statistique des petites echelles et simulation numérique des grandes echelles, Thèse de Doctorat es Sciences, Université de Grenoble.

    Google Scholar 

  • Herring, J.R., Riley J.J., Patterson, G.S. and Kraichnan, R.H., 1973, Growth of uncertainty in decaying isotropic turbulence, J. Atmos. Sci., 30, 997–1006.

    Google Scholar 

  • Herring, J.R., Schertzer, D., Lesieur, M., Newman, G.R., Chollet, J.P. and Larchevêque, M., 1982, A comparative assessment of spectral closures as applied to passive scalar diffusion, J. Fluid Mech., 124, 411–437.

    Google Scholar 

  • Kraichnan, R.H., 1976, Eddy-viscosity in two and three dimensions, J. Atmos. Sci., 33, 1521–1536.

    Google Scholar 

  • Leith, C.E., 1971, Atmospheric predictability and two-dimensional turbulence, J. Atmos. Sci., 28, 145–161.

    Google Scholar 

  • Leith, C.E. and Kraichnan, R.H., 1972, Predictability of turbulent flows, J. Atmos. Sci., 29, 1041–1058.

    Google Scholar 

  • Lesieur, M. and Schertzer, D., 1978, Amortissement autosimilaire d'une turbulence à grand nombre de Reynolds, J. Mécanique, 17, 610–646.

    Google Scholar 

  • Leslie,D.C. and Quarini, G.L., 1979, The application of turbulence theory to the formulation of subgrid modelling procedures, J. Fluid Mech., 91, 65–91.

    Google Scholar 

  • Metais, 0., Chollet, J.P. and Lesieur, M., 1983, Predictability of the large scales of freely evolving three and two-dimensional turbulence, A.I.P. Conference Proceedings, no 106, “Predictability of fluid motions”, La Jolla Institute.

    Google Scholar 

  • Metais, O. and Lesieur, M., 1984, Statistical precictability of decaying turbulence, submitted to J. Atm. Sci.

    Google Scholar 

  • Pouquet, A., Frisch, U. and Chollet, J.P., 1983, Turbulence with a spectral gap, Phys. Fluids, 26, 877–880.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Uriel Frisch Joseph B. Keller George C. Papanicolaou Olivier Pironneau

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Chollet, JP. (1985). Spectral closures to derive a subgrid scale modeling for large eddy simulations. In: Frisch, U., Keller, J.B., Papanicolaou, G.C., Pironneau, O. (eds) Macroscopic Modelling of Turbulent Flows. Lecture Notes in Physics, vol 230. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-15644-5_13

Download citation

  • DOI: https://doi.org/10.1007/3-540-15644-5_13

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15644-4

  • Online ISBN: 978-3-540-39520-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics