@article{a53e77a04127468799ae4463d6c57572,
title = "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 turbulence closure theory that takes into account a two-way coupling between internal gravity waves (IGWs) and the shear-free stably stratified turbulence. This theory is based on the budget equation for the total (kinetic plus potential) energy of IGWs, 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 turn, results in strong damping of IGWs. As a result, the penetration length of more intensive waves is shorter than that of less intensive IGWs. The anisotropy of the turbulence produced by less intensive IGWs is stronger than that caused by more intensive waves. The low-amplitude IGWs 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.",
author = "N. Kleeorin and I. Rogachevskii and Soustova, {I. A.} and Troitskaya, {Yu I.} and Ermakova, {O. S.} and S. Zilitinkevich",
note = "Funding Information: The detailed comments on our manuscript by the two anonymous referees which essentially improved the presentation of our results are very much appreciated. N.K. and I.R. acknowledge support from the Israel Science Foundation governed by the Israel Academy of Sciences (Grant No. 1210/15). I.R. also acknowledges the Research Council of Norway under the FRINATEK (Grant No. 231444) and the National Science Foundation (Grant No. NSF PHY-1748958). I.S. and Y.T. acknowledge support from Russian Foundation for Basic Research (RFBR Grants No. 18-05-00292, No. 18-05- 00265, No. 17-05-41117, and No. 19-05-00366). S.Z. acknowledges support from the Academy of Finland (Grant ClimEco No. 314 798/799, FMI-FI), Russian Science Foundation (RSF Grant No. 15-17-20009, IPFAN-RU), Russian Foundation for Basic Research (RFBR Grants No. 18-05-60299, IPFAN-RU, and No. 18-05-60126, INM/MSU-RU), and Russian Science Foundation (RSF Grant No. 14-17-00131, Tyumen State University-RU). N.K. and I.R. acknowledge the hospitality of Nordita and the Institute for Atmospheric and Earth System Research (INAR) of the University of Helsinki. I.R. also acknowledges the hospitality of the Kavli Institute for Theoretical Physics in Santa Barbara. Publisher Copyright: {\textcopyright} 2019 American Physical Society.",
year = "2019",
month = jun,
day = "19",
doi = "10.1103/PhysRevE.99.063106",
language = "English",
volume = "99",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "6",
}