Quantification of Global Intermittency in Stably Stratified Ekman Flow

  • Cedrick AnsorgeEmail author
  • Juan Pedro Mellado
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 165)


In the atmospheric boundary layer, some turbulence-like structures are maintained up to a stable density stratification several times higher than the above-mentioned linear stability analysis predicts. Nonetheless, the cessation of turbulence in such flows exposed to stable density stratification is a well-recognized problem. For non-rotating configurations, namely stably stratified channel- and free-shear flows, it has been shown that this cessation does not occur as an on–off process but is rather a complex transition from a turbulent to a laminar state. When stratification increases gradually, this transition begins with the localized absence of turbulent eddies in an otherwise turbulent flow, and has recently been shown to also occur in stably stratified Ekman flow. This localized absence of turbulence bears a striking resemblance to the absence of turbulence on some or all scales even close to the surface which is sometimes observed in the atmosphere and has been termed Global Intermittency. We propose here a method based on the intermittency factor together with high-pass-filtered flow fields that successfully distinguishes between turbulent and non-turbulent patches in Ekman flow.


Direct Numerical Simulation Richardson Number Intermittency Factor Localize Absence Stratify Boundary Layer 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



Support from the Max Planck Society through its Max Planck Research Groups program is gratefully acknowledged. Computational time was provided by the Jülich Supercomputer Centre under that grant HHH07.


  1. 1.
    Mahrt, L.: Stably stratified atmospheric boundary layers. Annu. Rev. Fluid Mech. 46, 23–45 (2014)MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    van de Wiel, B.J.H., Moene, A.F., Jonker, H.J.J., Baas, P., Basu, S., Donda, J.M.M., Sun, J., Holtslag, A.A.M.: The minimum wind speed for sustainable turbulence in the nocturnal boundary layer. J. Atmos. Sci. 69(11), 3116–3127 (2012)CrossRefGoogle Scholar
  3. 3.
    Flores, O., Riley, J.J.: Analysis of turbulence collapse in the stably stratified surface layer using direct numerical simulation. Bound.-Layer Meteorol 139, 231–249 (2011)CrossRefGoogle Scholar
  4. 4.
    Brethouwer, G., Duguet, Y., Schlatter, P.: Turbulent-laminar coexistence in wall flows with Coriolis, buoyancy and Lorentz forces. J. Fluid Mech. 704, 137–172 (2012)MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    Ansorge, C., Mellado, J.P.: Turbulence collapse and global intermittency in the atmospheric boundary layer. Bound.-Layer Meteorol 153, 89–112 (2014)CrossRefGoogle Scholar
  6. 6.
    Mahrt, L.: Stratified atmospheric boundary layers. Bound.-Layer Meteorol 90(3), 375–396 (1999)CrossRefzbMATHGoogle Scholar
  7. 7.
    Corrsin, S., Kistler, A.L.: Free-stream boundaries of turbulent flows. Technical Report TR1244-3133, John Hopkins University, Washington DC (1955)Google Scholar
  8. 8.
    Pope, S.B.: Turbulent Flows, 771 p. Cambridge University Press, New York (2000)Google Scholar
  9. 9.
    da Silva, C.B., Hunt, J.C.R., Eames, I., Westerweel, J.: Interfacial layers between regions of different turbulence intensity. Annu. Rev. Fluid Mech. 46, 567–590 (2014)MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Max-Planck-Institute for MeteorologyHamburgGermany

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