The energy- and flux budget theory for surface layers in atmospheric convective and stably stratified turbulence

Fuente: arXiv
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Autores principales: Rogachevskii, I., Kleeorin, N., Zilitinkevich, S.
Formato: Preprint
Publicado: 2021
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author Rogachevskii, I.
Kleeorin, N.
Zilitinkevich, S.
author_facet Rogachevskii, I.
Kleeorin, N.
Zilitinkevich, S.
contents The energy- and flux budget (EFB) turbulence closure theory for the atmospheric surface layers in convective and stably stratified turbulence has been developed using budget equations for turbulent energies and fluxes in the Boussinesq approximation. In the lower part of the surface layer in the atmospheric convective boundary layer (CBL), the rate of turbulence production of the turbulent kinetic energy (TKE) caused by the mean-flow surface shear and the shear of self-organised coherent structures is much larger than that caused by the buoyancy, which results in three-dimensional turbulence of very complex nature. In the upper part of the surface layer, the rate of turbulence production of TKE due to the shear is much smaller than that caused by the buoyancy, which causes unusual strongly anisotropic buoyancy-driven turbulence. Considering the applications of the obtained results to the atmospheric convective and stably stratified boundary-layer turbulence, the theoretical relationships potentially useful in modelling applications have been derived. In particular, the developed theory for the surface layers in turbulent convection and stably stratified turbulence allows us to determine the vertical profiles for all turbulent characteristics, including TKE, the intensity of turbulent potential temperature fluctuations, the vertical turbulent fluxes of momentum and buoyancy (proportional to potential temperature), the integral turbulence scale, the turbulence anisotropy, the turbulent Prandtl number and the flux Richardson number.
format Preprint
id arxiv_https___arxiv_org_abs_2112_14121
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle The energy- and flux budget theory for surface layers in atmospheric convective and stably stratified turbulence
Rogachevskii, I.
Kleeorin, N.
Zilitinkevich, S.
Atmospheric and Oceanic Physics
Fluid Dynamics
Geophysics
The energy- and flux budget (EFB) turbulence closure theory for the atmospheric surface layers in convective and stably stratified turbulence has been developed using budget equations for turbulent energies and fluxes in the Boussinesq approximation. In the lower part of the surface layer in the atmospheric convective boundary layer (CBL), the rate of turbulence production of the turbulent kinetic energy (TKE) caused by the mean-flow surface shear and the shear of self-organised coherent structures is much larger than that caused by the buoyancy, which results in three-dimensional turbulence of very complex nature. In the upper part of the surface layer, the rate of turbulence production of TKE due to the shear is much smaller than that caused by the buoyancy, which causes unusual strongly anisotropic buoyancy-driven turbulence. Considering the applications of the obtained results to the atmospheric convective and stably stratified boundary-layer turbulence, the theoretical relationships potentially useful in modelling applications have been derived. In particular, the developed theory for the surface layers in turbulent convection and stably stratified turbulence allows us to determine the vertical profiles for all turbulent characteristics, including TKE, the intensity of turbulent potential temperature fluctuations, the vertical turbulent fluxes of momentum and buoyancy (proportional to potential temperature), the integral turbulence scale, the turbulence anisotropy, the turbulent Prandtl number and the flux Richardson number.
title The energy- and flux budget theory for surface layers in atmospheric convective and stably stratified turbulence
topic Atmospheric and Oceanic Physics
Fluid Dynamics
Geophysics
url https://arxiv.org/abs/2112.14121