Internal gravity waves in the energy and flux budget turbulence-closure theory for shear-free stably stratified flows

Abstract

We have advanced the energy and flux budget (EFB) turbulence closure theory that takes into account a two-way coupling between internal gravity waves (IGW) and the shear-free stably stratified turbulence. This theory is based on the budget equation for the total (kinetic plus potential) energy of IGW, the budget equations for the kinetic and potential energies of fluid turbulence, and turbulent fluxes of potential temperature for waves and fluid flow. The waves emitted at a certain level, propagate upward, and the losses of wave energy cause the production of turbulence energy. We demonstrate that due to the nonlinear effects more intensive waves produce more strong turbulence, and this, in turns, results in strong damping of IGW. As a result, the penetration length of more intensive waves is shorter than that of less intensive IGW. The anisotropy of the turbulence produced by less intensive IGW is stronger than that caused by more intensive waves. The low amplitude IGW produce turbulence consisting up to 90 \% of turbulent potential energy. This resembles the properties of the observed high altitude tropospheric strongly anisotropic (nearly two-dimensional) turbulence.

arXiv comment13 pages, 11 figures, REVTEX4-1, revised

References in corpus (8)

• Internal wave coupling processes in Earth's atmosphere
• Energy- and flux-budget (EFB) turbulence closure model for the stably stratified flows. Part I: Steady-state, homogeneous regimes
• Turbulence energetics in stably stratified geophysical flows: strong and weak mixing regimes
• A hierarchy of energy- and flux-budget (EFB) turbulence closure models for stably stratified geophysical flows
• Formation of Large-Scale Semi-Organized Structures in Turbulent Convection
• Energy- and flux-budget turbulence closure model for stably stratified flows. Part II: the role of internal gravity waves
• Scaling laws for mixing and dissipation in unforced rotating stratified turbulence
• Absorption of waves by large scale winds in stratified turbulence

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• Semi-organized structures and turbulence in the atmospheric convection
• Generation of a large-scale vorticity in a fast rotating density stratified turbulence or turbulent convection
• Detection of standing internal gravity waves in experiments with convection over a wavy heated wall