Scaling law of resolved-scale isotropic turbulence

In large-eddy simulation (LES), EDQNM theory is employed tocalculate the scaling laws of second- and third-order structure functions,and the skewness of velocity increment, in resolved-scale isotropicturbulence with three different filters, respectively. The scaling law andskewness are affected by several factors, such as the ratio of two-pointdistance to filter size, the LES Reynolds number, and the type of filter.Results show that, when two-point distance is the same magnitude as filtersize, or LES Reynolds number is small, both the scaling law and skewness ofresolved-scale turbulence are far from those of full-scale turbulence andshould be corrected. Three examples of subgrid modeling using these resultsare then introduced.