Space-time energy spectra in turbulent shear flows

This article reviews the recent theories and models of space-time energy spectra in turbulent shear flows. The review is based on the picture of turbulent passage proposed by Taylor's frozen-flow hypothesis and Kraichnan-Tennekes random sweeping hypothesis: convection of small-scale eddies by large-scale eddies with a certain distortion, which determines the peaks and bandwidths of space-time energy spectra. The data-refined stochastic models and data-based reconstruction models are examined. The linearized Navier-Stokes equations with random forcing for space-time energy spectra are also discussed.