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Features of eddy diffusion of momentum and heat in stably stratified flows of environment

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Thermophysics and Aeromechanics Aims and scope

Abstract

The study was performed on features of eddy transport of momentum and heat in the lower atmosphere, which includes the planetary boundary layer as well as upper troposphere and lower stratosphere; the study used a three-parametric method for modeling of stratified turbulent flows. A focus was put on analysis of behavior of vertical diffusivities of momentum and heat: data were obtained through direct measurements and through simulation with three-parametric turbulence model with account for effects of internal gravitational waves which support momentum transfer under condition of very stable stratification (while possessing considerable wavy dynamics). It was demonstrated that the profile of vertical diffusivity for momentum, which was calculated using three-parametric turbulence model, is in agreement with data on direct measurements when measured either within a stable stratified planetary boundary layer or beyond this layer, in free atmosphere.

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References

  1. L. Mahrt, Stratified atmospheric boundary layers and breakdown of models, Theor. Comput. Fluid Dynamics, 1998, Vol. 11, P. 263–279.

    Article  MATH  ADS  Google Scholar 

  2. E.J. Strang and H.J.S. Fernando, Vertical mixing and transport through a stratified shear layer, J. Physical Oceanography, 2001, Vol. 31, P. 2006–2048.

    Article  ADS  Google Scholar 

  3. P. Monti, H.J.S. Fernando, M. Princevac, W.C. Chan, T.A. Kowalewski, and E.R. Pardyjak, Observations of flow and turbulence in the nocturnal boundary layer over a slope, J. Atmospheric Sci., 2002, Vol. 59, No. 17, P. 2513–2534.

    Article  ADS  Google Scholar 

  4. Y. Ohya, Wind-tunnel study of atmospheric stable boundary layers over a rough surface, Boundary-Layer Meteorology, 2001, Vol. 98, No. 1, P. 57–82.

    Article  MathSciNet  ADS  Google Scholar 

  5. L.F. Richardson, The supply of energy from and to atmospheric eddies, Proc. R. Soc. London A, 1920, Vol. 97, No. 686, P. 354–373.

    Article  ADS  Google Scholar 

  6. F.G. Jacobitz, M.M. Rogers, and J.H. Ferziger, Waves in stably stratified turbulent flow, J. Turbulence, 2005, Vol. 6, P. 1–12.

    Article  MathSciNet  Google Scholar 

  7. B. Galperin, S. Sukhoriansky, and F.S. Anderson, On the critical Richardson number in stably stratified turbulence, Atmospheric Sci. Letters, 2007, Vol. 8, P. 65–69.

    Article  ADS  Google Scholar 

  8. S.S. Zilitinkevich, T. Elperin, N. Kleeorin, I. Rogachevskii, I. Esau, T. Mauritsen, and M.W. Miles, Turbulence energetics in stably stratified geophysical flows: Strong and weak mixing regimes, Q. J. R. Meteor. Soc., 2008, Vol. 134, P. 793–799.

    Article  ADS  Google Scholar 

  9. J. Weinstock, A theory turbulence transport, J. Fluid Mech., 1989, Vol. 202, P. 319–338.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  10. H. Ueda, T. Fukui, M. Kajno, M. Horiguchi, H. Hashiguchi, and S. Fukao, Eddy diffusivities for momentum and heat in the upper troposphere and lower stratosphere measured by MU radar and RASS, and a comparison of turbulence model predictions, J. Atmos. Sci., 2012, Vol. 69, P. 323–337.

    Article  ADS  Google Scholar 

  11. M.M. Gibson and B.E. Launder, Ground effects on pressure fluctuations in the atmospheric boundary layer, J. Fluid Mech., 1978, Vol. 86, P. 491–511.

    Article  MATH  ADS  Google Scholar 

  12. B.E. Launder, An introduction to single-point closure methodology. Simulation and modeling of turbulent flows, T.B. Gatski et al. (Eds.), N.Y., Oxford University Press, 1996, Chapter 6, P. 243–310.

    Google Scholar 

  13. A.F. Kurbatskiy and L.I. Kurbatskaya, Three-parameter model of turbulence for the atmospheric boundary layer over an urbanized surface, Izvestia, Atmospheric and Oceanic Physics, 2006, Vol. 42, No. 4, P. 439–455.

    ADS  Google Scholar 

  14. A.F. Kurbatskiy and L.I. Kurbatskaya, \(E - \varepsilon - \overline {\theta ^2 } \)-turbulence model for an atmospheric boundary layer including the urban canopy, Meteor. Atmos. Phys., 2009, Vol. 4, No. 16, P. 63–81.

    Article  Google Scholar 

  15. A.F. Kurbatskiy and L.I. Kurbatskaya, On the eddy mixing and energetics of turbulence in a stable atmospheric boundary layer, Izvestia. Atmospheric and Oceanic Physics, 2012, Vol. 48, No. 6, P. 595–602.

    Article  ADS  Google Scholar 

  16. L.H. Jin, R.M.C. So, and T.B. Gatski, Equilibrium states of turbulent homogeneous buoyant flows, J. Fluid Mech., 2003, Vol. 482, P. 207–233.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  17. J. Cuxart, A.A.M. Holtslag, R.Y. Beare, E. Bazile, A. Beljaars, et al., Single-column model intercomparison for a stably stratified atmospheric boundary layer, Boundary-Layer Meteorology, 2006, Vol. 118, P. 273–303.

    Article  ADS  Google Scholar 

  18. R.J. Beare, M.K. MacVean, A.A. Holtslag, et al., An intercomparison of large-eddy simulations of the stable boundary layer, Boundary-Layer Meteorology, 2006, Vol. 118, P. 247–272.

    Article  ADS  Google Scholar 

  19. B. Kosovic and J. Curry, A large eddy simulation study of a quasi-steady, stably stratified atmospheric boundary layer, J. Atmos. Sci., 2000, Vol. 57, P. 1052–1068.

    Article  MathSciNet  ADS  Google Scholar 

  20. T. Gerz, U. Schumann, and S. Elghobashi, Direct numerical simulation of the stratified homogeneous turbulent shear flows, J. Fluid Mech., 1989, Vol. 200, P. 563–594.

    Article  MATH  ADS  Google Scholar 

  21. U. Schumann and T. Gerz, Turbulent mixing in stably stratified shear flows, J. Appl. Meteorol., 1995, Vol. 34, P. 33–48.

    Article  ADS  Google Scholar 

  22. B. Zhou and F.K. Chow, Large-Eddy Simulation of the stable boundary layer with explicit filtering and reconstruction turbulence modeling, J. Atmos. Sci., 2011, Vol. 68, P. 2142–2155.

    Article  ADS  Google Scholar 

  23. A.F. Kurbatskiy and L.I. Kurbatskaya, On the turbulent Prandtl number in a stably stratified atmospheric boundary layer, Izvestia. Atmospheric and Oceanic Physics, 2010, Vol. 46, No. 2, P. 169–177.

    Article  ADS  Google Scholar 

  24. F. Mahalov, D. Nicolaenko, K.L. Tse, and D. Joseph, Eddy mixing in jet-stream turbulence under stronger stratification, Geophys. Research Letters, 2004, Vol. 31, Iss. 23, P. L23111.1–L23111.4.

    Google Scholar 

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Authors and Affiliations

  1. Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Novosibirsk, Russia

    A. F. Kurbatskiy

  2. Novosibirsk State University, Novosibirsk, Russia

    A. F. Kurbatskiy

  3. Institute for Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk, Russia

    L. I. Kurbatskaya

Authors
  1. A. F. Kurbatskiy
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  2. L. I. Kurbatskaya
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Correspondence to L. I. Kurbatskaya.

Additional information

Research was financially supported by the Russian Foundation for Basic Research (Projects No. 13-05-00006-a, 14-01-00125).

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Kurbatskiy, A.F., Kurbatskaya, L.I. Features of eddy diffusion of momentum and heat in stably stratified flows of environment. Thermophys. Aeromech. 22, 163–176 (2015). https://doi.org/10.1134/S0869864315020031

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  • DOI: https://doi.org/10.1134/S0869864315020031

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