A stochastic subgrid model for sheared turbulence

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.

[1]  C. Basdevant,et al.  Evolution of high Reynolds number two-dimensional turbulence , 1975, Journal of Fluid Mechanics.

[2]  C. Leith Atmospheric Predictability and Two-Dimensional Turbulence , 1971 .

[3]  J. Bertoglio A Model of Three-Dimensional Transfer in Non-Isotropic Homogeneous Turbulence , 1982 .

[4]  Robert H. Kraichnan,et al.  An almost-Markovian Galilean-invariant turbulence model , 1971, Journal of Fluid Mechanics.

[5]  G. S. Patterson,et al.  Numerical Simulation of Three-Dimensional Homogeneous Isotropic Turbulence , 1972 .

[6]  J. H. Ferziger State of the Art in Subgrid-Scale Modeling , 1981 .

[7]  R. Rogallo Numerical experiments in homogeneous turbulence , 1981 .

[8]  S. Orszag Analytical theories of turbulence , 1970, Journal of Fluid Mechanics.

[9]  U. Frisch,et al.  A Markovian random coupling model for turbulence , 1974, Journal of Fluid Mechanics.

[10]  H. Rose Eddy diffusivity, eddy noise and subgrid-scale modelling , 1977, Journal of Fluid Mechanics.

[11]  R. Kraichnan Convergents to turbulence functions , 1970, Journal of Fluid Mechanics.

[12]  M. Lesieur,et al.  Parameterization of Small Scales of Three-Dimensional Isotropic Turbulence Utilizing Spectral Closures , 1981 .

[13]  R. Kraichnan Eddy Viscosity in Two and Three Dimensions , 1976 .

[14]  J. Ferziger,et al.  Improved turbulence models based on large eddy simulation of homogeneous, incompressible, turbulent flows , 1983 .

[15]  D. Leslie,et al.  The application of turbulence theory to the formulation of subgrid modelling procedures , 1979, Journal of Fluid Mechanics.