Skip to main content

Similarity theory and calculation of turbulent fluxes at the surface for the stably stratified atmospheric boundary layer

  • Original Paper
  • Chapter
Atmospheric Boundary Layers

Abstract

In this paper we revise the similarity theory for the stably stratified atmospheric boundary layer (ABL), formulate analytical approximations for the wind velocity and potential temperature profiles over the entire ABL, validate them against large-eddy simulation and observational data, and develop an improved surface flux calculation technique for use in operational models.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Ayotte KW, Sullivan PP, Andren A, Doney SC, Holtslag AAM, Large WG, McWilliams JC, Moeng C-H, Otte M, Tribbia JJ and Wyngaard J (1996). An evaluation of neutral and convective planetary boundary-layer parameterizations relative to large eddy simulations. Boundary-Layer Meteorol 79: 131–175

    Article  Google Scholar 

  • Beare RJ, MacVean MK, Holtslag AAM, Cuxart J, Esau I, Golaz JC, Jimenez MA, Khairoudinov M, Kosovic B, Lewellen D, Lund TS, Lundquist JK, McCabe A, Moene AF, Noh Y, Raasch S and Sullivan P (2006). An intercomparison of large eddy simulations of the stable boundary layer. Boundary Layer Meteorol 118: 247–272

    Article  Google Scholar 

  • Esau I, Byrkjedal Ø (2007) Application of large eddy simulation database to optimization of first order closures for neutral and stably stratified boundary layers. This issue of Boundary Layer Meteorol

    Google Scholar 

  • Esau IN and Zilitinkevich SS (2006). Universal dependences between turbulent and mean flow parameters in stably and neutrally stratified planetary boundary layers. Nonlin Processes Geophys 13: 135–144

    Google Scholar 

  • Högström U (1996). Review of some basic characteristics of the atmospheric surface layer. Boundary-Layer Meteorol 78: 215–246

    Article  Google Scholar 

  • Lenschow DH, Li XS, Zhu CJ and Stankov BB (1988). The stably stratified boundary layer over the Great Plains. Part 1: Mean and turbulence structure. Boundary-layer Meteorol 42: 95–121

    Article  Google Scholar 

  • Monin AS and Obukhov AM (1954). Main characteristics of the turbulent mixing in the atmospheric surface layer. Trudy Geophys Inst AN SSSR 24(151): 153–187

    Google Scholar 

  • Nieuwstadt FTM (1984). The turbulent structure of the stable, nocturnal boundary layer. J Atmos Sci 41: 2202–2216

    Article  Google Scholar 

  • Sorbjan Z (1988). Structure of the stably-stratified boundary layer during the SESAME-1979 experiment. Boundary-Layer Meteorol 44: 255–266

    Article  Google Scholar 

  • Tjernstrom M, Zagar M, Svensson G, Cassano JJ, Pfeifer S, Rinke A, Wyser A, Dethloff K, Jones C, Semmler T and Shaw M (2004). Modelling the arctic boundary layer: an evaluation of six ARCMIP regional-scale models using data from the SHEBA project. Boundary-Layer Meteorol 117: 337–381

    Article  Google Scholar 

  • Uttal T and 26 co-authors (2002). Surface heat budget of the arctic Ocean. Bull Amer Meteorol Soc 83: 255–275

    Article  Google Scholar 

  • Wittich KP (1991). The nocturnal boundary layer over Northern Germany: an observational study. Boundary-Layer Meteorol 55: 47–66

    Article  Google Scholar 

  • Yague C, Viana S, Maqueda G and Redondo JM (2006). Influence of stability on the flux-profile relationships for wind speed, phi-m, and temperature, phi-h, for the stable atmospheric boundary layer. Nonlin Processes Geophys 13: 185–203

    Article  Google Scholar 

  • Zilitinkevich SS and Baklanov A (2002). Calculation of the height of stable boundary layers in practical applications. Boundary-Layer Meteorol 105: 389–409

    Article  Google Scholar 

  • Zilitinkevich SS and Esau IN (2002). On integral measures of the neutral, barotropic planetary boundary layers. Boundary-Layer Meteorol 104: 371–379

    Article  Google Scholar 

  • Zilitinkevich SS and Esau IN (2003). The effect of baroclinicity on the depth of neutral and stable planetary boundary layers. Quart J Roy Meteorol Soc 129: 3339–3356

    Article  Google Scholar 

  • Zilitinkevich SS and Esau I (2005). Resistance and heat transfer laws for stable and neutral planetary boundary layers: old theory, advanced and ee-evaluated. Quart J Roy Meteorol Soc 131: 1863–1892

    Article  Google Scholar 

  • Zilitinkevich SS, Grachev AA and Fairall CW (2001). Scaling reasoning and field data on the sea-surface roughness lengths for scalars. J Atmos Sci 58: 320–325

    Article  Google Scholar 

  • Zilitinkevich SS, Perov VL and King JC (2002). near-surface turbulent fluxes in stable stratification: calculation techniques for use in general circulation models. Quart J Roy Meteorol Soc 128: 1571–1587

    Article  Google Scholar 

  • Zilitinkevich SS, Esau I, Baklanov A (2007a) Further comments on the equilibrium height of neutral and stable planetary boundary layers. Quart J Roy Meteorol Soc (In press)

    Google Scholar 

  • Zilitinkevich SS, Elperin T, Kleeorin N, Rogachevskii I (2007b) A minimal turbulence closure model for stably stratified flows: energy and flux budgets revisited. Submitted to this issue of Boundary Layer Meteorol

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sergej S. Zilitinkevich .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Science+Business Media B.V.

About this chapter

Cite this chapter

Zilitinkevich, S.S., Esau, I.N. (2007). Similarity theory and calculation of turbulent fluxes at the surface for the stably stratified atmospheric boundary layer. In: Baklanov, A., Grisogono, B. (eds) Atmospheric Boundary Layers. Springer, New York, NY. https://doi.org/10.1007/978-0-387-74321-9_4

Download citation

Publish with us

Policies and ethics