A Statistical Investigation of the Modeling of a Mean-Shear-Related Term in the Pressure-Strain Correlation of a Turbulent Shear Flow

Abstract

A mean-shear-related term in the pressure-strain correlation is examined from the statistical viewpoint. The term is calculated with the aid of the two-scale Direct-Interaction formalism for turbulent shear flows, being expressed in terms of the mean shear and the two-time statistical quantities of the fluctuating field. It is compared with existing models used frequently in the actual simulation of turbulent shear flows. On this basis, those models are discussed from the theoretical standpoint.