Abstract
Subgrid scale interactions in forced homogeneous turbulence are decomposed into components correlated and uncorrelated with the resolved velocity field. The correlated part is well known to be equivalent to a spectral eddy viscosity. The mean energy transfer can be predicted even if the uncorrelated remainder is ignored, but statistics pertaining to the fluctuations of the nonlinear term require a model for the remainder, which is found to have a strongly non-Gaussian probability density. Some implications of including these non-Gaussian properties in stochastic models are described.
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