Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
References
Aupoix B., Cousteix J. and Liandrat J., 1983, Effects of rotation on isotropic turbulence. Fourth Int. Symp. Turb. Shear Flows, Karlsruhe.
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.
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.
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.
Bertoglio J.P. and Mathieu J., 1983, Study of subgrid models for sheared turbulence. Fourth Symp. on Turb. Shear Flows, Karlsruhe, Sept. 83.
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.
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.
Chollet J.P., 1983, Two-point closure as a subgrid scale modeling for Large Eddy Simulations. Fourth Symp. on Turb. Shear Flows, Karlsruhe.
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.
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.
Kraichnan R.H., 1961, Dynamics of nonlinear stochastic systems. Journ. Math. Phys. Vol. 2, no 1, pp. 124–148.
Kraichnan R.H., 1970, Convergents to turbulence functions. J. Fluid Mech., Vol. 41, part 1, pp. 189–217.
Kraichnan R.H., 1971, An almost-Markovian Galilean-invariant turbulence mode. J. Fluid Mech., Vol. 47, part 3, pp. 513–524.
Kraichnan R.H., 1976, Eddy viscosity in two and three dimensions. Journ. Atm. Sci., Vol. 33, pp. 1521–1536.
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.
Leith C.E., 1971, Atmospheric predictability and two-dimensional turbulence. Journ. Atm. Sci., Vol. 28, no 2, pp. 145–161.
Orszag S.A., 1970, Analystical theories of turbulence. J. Fluid Mech., Vol. 41, part 2, pp. 363–386.
Orszag S.A. and Patterson G.S., 1972, Numerical simulation of three-dimensional homogeneous isotropic turbulence. Phys. Rev. Letter.
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.
Rogallo R.S., 1981, Numerical experiments in homogeneous turbulence. NASA Techn. Mem. no 81315, sept. 81.
Rose H.A., 1977, Eddy diffusivity, Eddy noise and subgrid-scale modeling. Journal of Fluid Mech., Vol. 81, pp. 719–734.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1985 Springer-Verlag
About this paper
Cite this paper
Bertoglio, J.P. (1985). A stochastic subgrid model for sheared turbulence. 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_9
Download citation
DOI: https://doi.org/10.1007/3-540-15644-5_9
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