Energy spectra of the stable boundary layer: A theoretical model

Summary A derivation of spectral energy functions for stable atmospheric boundary layers is presented for a local similarity regime. Previous studies of this nocturnal atmospheric conditions were usually carried through purely kinematic modellizations. In this study, the atmospheric turbulence energy content is derived from a dynamical viewpoint. This is achieved through the use of the energy balance relation obtained by Rotta from Navier-Stokes equations. The result is an appropriate physical rooting of the spectral energy curves known as Kaimal’s Isopleths. The authors of this paper have agreed to not receive the proofs for correction.