(Color). Contours of measures of error in the quasinormal approximation as functions of streamwise separations and wall-normal distances , in wall units. Shown are (a) , (b) , (c) , and (d) . See (6) and (7) for definitions.
(Color). Same as Fig. 1, but for separation vectors along the spanwise direction (abscissa). Contours of (a) , (b) , (c) , and (d) are shown above.
(Color). Contours of (a) , (b) , (c) , and (d) for separation vectors in the wall-normal direction.
Quasinormal errors in isotropic turbulence vs radial separations, normalized by the Kolmogorov length scale . The subscript denotes the direction parallel to the separation vector, whereas and denote directions orthogonal to the separation vector and each other.
Comparison of the three-dimensional energy spectra for (finite-volume) filtered DNS data, optimal LES (OLES) model based solely on DNS data and OLES model using quasinormal approximation for fourth-order correlations.
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