A stochastic subgrid model for sheared turbulence

  • J. P. Bertoglio
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 230)


A new subgrid model for homogeneous turbulence is proposed. The model is used in a method of Large Eddy Simulation coupled with an E.D.Q.N.M. prediction of the statistical properties of the small scales. The model is stochastic in order to allow a “desaveraging” of the informations provided by the E.D.Q.N.M. closure. It is basedon stochastic amplitude equations for two-point closures. It allows backflow of energy from the small scales, introduces stochasticity into L.E.S., and is well adapted to non isotropic fields. A few results are presented here.


Turbulent Kinetic Energy Large Eddy Simulation Eddy Viscosity Isotropic Turbulence Amplitude Equation 
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  1. Aupoix B., Cousteix J. and Liandrat J., 1983, Effects of rotation on isotropic turbulence. Fourth Int. Symp. Turb. Shear Flows, Karlsruhe.Google Scholar
  2. Bardina J., Ferziger J.H. and Reynolds W.C., 1983, Improved turbulence models based on large eddy simulation of homogeneous, incompressible, turbulent flows. Stanf. Univ. Report NOTE-19, May 1983.Google Scholar
  3. Basdevant D., Lesieur M. and Sadourny R., 1978, Subgrid-scale modeling of enstrophy transfer in two-dimensional turbulence. Journal of Atm. Sci., Vol. 35, pp. 1028–1042.Google Scholar
  4. Bertoglio J.P., 1981, A model of three-dimensional transfer in Non-isotropic homogeneous turbulence. Third Int. Symp. Turb. Shear Flows, Davis, Sept. 81, Springer-Verlag, 1982.Google Scholar
  5. Bertoglio J.P. and Mathieu J., 1983, Study of subgrid models for sheared turbulence. Fourth Symp. on Turb. Shear Flows, Karlsruhe, Sept. 83.Google Scholar
  6. Bertoglio J.P. and Mathieu J., 1984, Modélisation stochastique des petites échelles de la turbulence: génération d'un processus stochastique. C.R.Acad. Sci., to be published.Google Scholar
  7. Chollet J.P. et Lesieur M., 1981, Parameterization of small scales of three-dimensional isotropic turbulence utilizing spectral closures. J. Atm. Sci., Vol. 38, pp. 2747–2757.Google Scholar
  8. Chollet J.P., 1983, Two-point closure as a subgrid scale modeling for Large Eddy Simulations. Fourth Symp. on Turb. Shear Flows, Karlsruhe.Google Scholar
  9. Frish U., Lesieur M. and Brissaud A., 1974, A Markovian random coupling model for turbulence. J. Fluid Mech., Vol. 65, part l, pp. 145–152.Google Scholar
  10. Ferziger J.H., 1982, State of the art in subgrid scale modeling.Num.and Phys. Asp. Aerod. Flows, T. Cebeci, pp. 53–68. New-York: Springer 636.Google Scholar
  11. Kraichnan R.H., 1961, Dynamics of nonlinear stochastic systems. Journ. Math. Phys. Vol. 2, no 1, pp. 124–148.Google Scholar
  12. Kraichnan R.H., 1970, Convergents to turbulence functions. J. Fluid Mech., Vol. 41, part 1, pp. 189–217.Google Scholar
  13. Kraichnan R.H., 1971, An almost-Markovian Galilean-invariant turbulence mode. J. Fluid Mech., Vol. 47, part 3, pp. 513–524.Google Scholar
  14. Kraichnan R.H., 1976, Eddy viscosity in two and three dimensions. Journ. Atm. Sci., Vol. 33, pp. 1521–1536.Google Scholar
  15. Leslie D.C. and Quarini G.L., 1979, The application of turbulence theory to the formulation of subgrid modelling procedures. J. Fluid Mech., Vol. 91, part 1, pp. 65–91.Google Scholar
  16. Leith C.E., 1971, Atmospheric predictability and two-dimensional turbulence. Journ. Atm. Sci., Vol. 28, no 2, pp. 145–161.Google Scholar
  17. Orszag S.A., 1970, Analystical theories of turbulence. J. Fluid Mech., Vol. 41, part 2, pp. 363–386.Google Scholar
  18. Orszag S.A. and Patterson G.S., 1972, Numerical simulation of three-dimensional homogeneous isotropic turbulence. Phys. Rev. Letter.Google Scholar
  19. Pouquet A., Lesieur M., André J.C. and Basdevant C., 1975, Evolution of high Reynolds number two-dimensional turbulence. J. Fluid Mech., Vol. 72, part 2, pp. 305–319.Google Scholar
  20. Rogallo R.S., 1981, Numerical experiments in homogeneous turbulence. NASA Techn. Mem. no 81315, sept. 81.Google Scholar
  21. Rose H.A., 1977, Eddy diffusivity, Eddy noise and subgrid-scale modeling. Journal of Fluid Mech., Vol. 81, pp. 719–734.Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • J. P. Bertoglio
    • 1
  1. 1.Laboratoire de Mécanique des FluidesEcole Centrale de LyonEcully CedexFrance

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