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Submeso Motions and Intermittent Turbulence Across a Nocturnal Low-Level Jet: A Self-Organized Criticality Analogy

  • Daniela CavaEmail author
  • Luca Mortarini
  • Umberto Giostra
  • Otavio Acevedo
  • Gabriel Katul
Research Article
  • 102 Downloads

Abstract

One of the hallmarks of the stable boundary layer is the switching between turbulent (active) and non-turbulent (passive) states. In very stable conditions, the boundary layer becomes layered with fully-developed turbulence confined to a shallow region near the surface. In the quiescent region above this near-surface layer, the turbulence is weak, intermittent and detached from the ground. These conditions promote the development of a low-level jet that re-energizes the turbulence through an elevated shear layer. The Monin–Obukhov similarity theory fails in the layered stable boundary layer thereby making the quantification of mixing and transport properties challenging for numerical models. In the present study, multi-level time series from a tall (140 m) meteorological tower are analyzed using the telegraphic approximation to investigate analogies with a general class of intermittency models that include self-organized criticality. The analogy between turbulence and self-organized criticality is restricted to clustering properties of sign changes of flow variables for describing switching between turbulent and non-turbulent states. The telegraphic approximation provides a new perspective on clustering and on external and internal intermittency for periods dominated by turbulent motions, a low-level jet and submeso motions. Some of these periods are characterized by the absence of turbulence but occasionally punctuated by bursts of intermittent turbulent events. The switching probability of active–inactive states and the lifetimes of inactive states (related to intermittent turbulent bursts) show evidence of self-organized-criticality like behaviour in terms of scaling laws. The coexistence of self-organized criticality and intermittent turbulence may offer new perspectives on the genesis of scaling laws and similarity arguments, thereby improving the performance of numerical models in the stable boundary layer.

Keywords

Intermittent turbulence Low-level jet Self-organized criticality Stable boundary layer Submeso motions 

Notes

Acknowledgements

The study has been developed within the context of a Research and Development project sponsored by companies Linhares Geração S.A. and Termeletrica Viana S.A., and named “Desenvolvimento de um modelo operacional para simulacão em tempo real da dispersão atmosferica de poluentes emitidos por termeletri ca a gas natural”. The Project is within the context of the investment program in Research and Development, regulated by Brazilian National Agency for Electric Energy. G.Katul acknowledges partial support from the U.S. National Science Foundation (NSF-EAR-1344703, NSF-AGS-1644382, and NSF-DGE-1068871). We would like to also acknowledge the collaboration with the Marche Region, and in particular the “Environmental assessments and authorizations, air quality and natural protection” section.

Supplementary material

10546_2019_441_MOESM1_ESM.docx (51.3 mb)
Supplementary material 1 (DOCX 52513 kb)

References

  1. Acevedo OC, Mahrt L, Puhales FS, Costa FD, Medeiros LE, Degrazia GA (2015) Contrasting structures between the decoupled and coupled states of the stable boundary layer. Q J R Meteorol Soc 142:693–702.  https://doi.org/10.1002/qj.2693 CrossRefGoogle Scholar
  2. Acevedo OC, Degrazia GA, Puhales FS, Martins LGN, Oliveira PES, Teichrieb C, Silva SM, Maroneze R, Bodmann B, Mortarini L, Cava D, Anfossi D (2018) Monitoring the micrometeorology of a coastal site next to a thermal power plant from the surface to 140 m. Bull Am Meteorol Soc 99(4):725–738.  https://doi.org/10.1175/BAMS-D-17-0134.1 CrossRefGoogle Scholar
  3. Bak P, Tang C, Wiesenfeld K (1988) Self-organised criticality. Phys Rev A 38:364–374.  https://doi.org/10.1103/PhysRevA.38.364 CrossRefGoogle Scholar
  4. Banta RM, Mahrt L, Vickers D, Sun J, Balsley BB, Pichugina YL, Williams EJ (2007) The very stable boundary layer on nights with weak low-level lets. J Atmos Sci 64:3068–3090.  https://doi.org/10.1175/JAS4002.1 CrossRefGoogle Scholar
  5. Bershadskii A, Niemela JJ, Praskovsky A, Sreenivasan KR (2004) Clusterization and intermittency of temperature fluctuations in turbulent convection. Phys Rev E 69:056314.  https://doi.org/10.1103/PhysRevE.69.056314 CrossRefGoogle Scholar
  6. Bou-Zeid E, Gao X, Ansorge C, Katul GG (2018) On the role of return to isotropy in wall-bounded turbulent flows with buoyancy. J Fluid Mech 856:61–78.  https://doi.org/10.1017/jfm.2018.693 CrossRefGoogle Scholar
  7. Cava D, Katul GG (2009) The effects of thermal stratification on clustering properties of canopy turbulence. Boundary-Layer Meteorol 130:307–325.  https://doi.org/10.1007/s10546-008-9342-6 CrossRefGoogle Scholar
  8. Cava D, Katul GG, Molini A, Elefante C (2012) The role of surface characteristics on zero-crossing properties of atmospheric turbulence. J Geophys Res 117:D01104.  https://doi.org/10.1029/2011JD016167 CrossRefGoogle Scholar
  9. Giostra U, Cava D, Schipa S (2002) Structure functions in a wall-turbulent shear flow. Boundary-Layer Meteorol 103:337–359.  https://doi.org/10.1023/A:1014917120110 CrossRefGoogle Scholar
  10. Grachev AA, Fairall CW, Persson POG, Andreas EL, Guest PS (2005) Stable boundary-layer scaling regimes: the SHEBA data. Boundary-Layer Meteorol 116:201–235.  https://doi.org/10.1007/s10546-004-2729-0 CrossRefGoogle Scholar
  11. Jensen HJ (1998) Self-organised Criticality. Cambridge University Press, CambridgeCrossRefGoogle Scholar
  12. Katul GG (1994) A model for sensible heat flux probability density function for near-neutral and slightly stable atmospheric flows. Boundary-Layer Meteorol 71:1–20.  https://doi.org/10.1007/BF00709217 CrossRefGoogle Scholar
  13. Katul GG, Parlange MB, Chu CR (1994) Intermittency, local isotropy, and non-Gaussian statistics in atmospheric surface-layer turbulence. Phys Fluids 6(7):2480–2492.  https://doi.org/10.1063/1.868196 CrossRefGoogle Scholar
  14. Katul GG, Hsieh CI, Kuhn G, Ellsworth D, Nie DL (1997) Turbulent eddy motion at the forest–atmosphere interface. J Geophys Res 102:13409–13421.  https://doi.org/10.1029/97JD00777 CrossRefGoogle Scholar
  15. Katul GG, Vidakovic B, Albertson J (2001) Estimating global and local scaling exponents in turbulent flows using discrete wavelet transformations. Phys Fluids 13:241–250.  https://doi.org/10.1063/1.1324706 CrossRefGoogle Scholar
  16. Katul GG, Poggi D, Cava D, Finnigan J (2006) The relative importance of ejections and sweeps to momentum transfer in the atmospheric boundary layer. Boundary-Layer Meteorol 120:367–375.  https://doi.org/10.1007/s10546-006-9064-6 CrossRefGoogle Scholar
  17. Katul GG, Porporato A, Poggi D (2009) Roughness effects on fine-scale anisotropy and anomalous scaling in atmospheric flows. Phys Fluids 21:035106.  https://doi.org/10.1063/1.3097005 CrossRefGoogle Scholar
  18. Kolmogorov AN (1941) The local structure of turbulence in incompressible viscous fluid for very large Reynolds number. Dokl Akad Nauk SSSR 30:9–13Google Scholar
  19. Kuznetsov E, Newell AC, Zakharov VE (1991) Intermittency and turbulence. Phys Rev Lett 67:3243–3246.  https://doi.org/10.1103/PhysRevLett.67.3243 CrossRefGoogle Scholar
  20. Kuznetsov VR, Praskovsky AA, Sabelnikov VA (1992) Fine scale turbulence structure of intermittent shear flows. J Fluid Mech 243:595–622.  https://doi.org/10.1017/S0022112092002842 CrossRefGoogle Scholar
  21. Lan C, Liu H, Li D, Katul GG, Finn D (2018) Distinct turbulence structures in stably stratified boundary layers with weak and strong surface shear. Atmospheres, J Geophys Res.  https://doi.org/10.1029/2018JD028628 CrossRefGoogle Scholar
  22. Mahrt L (1998) Stratified atmospheric boundary layers and breakdown of models. Theor Comput Fluid Dyn 11:263–279.  https://doi.org/10.1007/s001620050093 CrossRefGoogle Scholar
  23. Mahrt L (2014) Stably stratified atmospheric boundary layers. Annu Rev Fluid Mech 46:23–45.  https://doi.org/10.1146/annurev-fluid-010313-141354 CrossRefGoogle Scholar
  24. Meneveau C (1991) Analysis of turbulence in the orthonormal wavelet representation. J Fluid Mech 232:469–520.  https://doi.org/10.1017/S0022112091003786 CrossRefGoogle Scholar
  25. Molini A, Katul GG, Porporato A (2009) Revisiting rainfall clustering and intermittency across different climatic regimes. Water Resour Res 45(11):W11403.  https://doi.org/10.1029/2008WR007352 CrossRefGoogle Scholar
  26. Monahan AH, Rees T, He Y (2015) Multiple regimes of wind, stratification, and turbulence in the stable boundary layer. J Atmos Sci 72:3178–3198.  https://doi.org/10.1175/JAS-D-14-0311.1 CrossRefGoogle Scholar
  27. Mortarini L, Cava D, Giostra U, Acevedo O, Nogueira Martins LG, Soares de Oliveira PE, Anfossi D (2018) Observations of submeso motions and intermittent turbulent mixing across a low level jet with a 132-m tower. Q J R Meteorol Soc 144:172–183.  https://doi.org/10.1002/qj.3192 CrossRefGoogle Scholar
  28. Nakagawa H, Nezu I (1977) Prediction of contributions to Reynolds stress from bursting events in open-channel flows. J Fluid Mech 80:99–128.  https://doi.org/10.1017/S0022112077001554 CrossRefGoogle Scholar
  29. Obukhov AM (1962) Some specific features of atmospheric turbulence. J Geophys Res 67:3011–3014.  https://doi.org/10.1029/JZ067i008p03011 CrossRefGoogle Scholar
  30. Pahlow M, Parlange MB, Porté-Agel F (2001) On Monin–Obukhov similarity theory in the stable atmospheric boundary layer. Boundary-Layer Meteorol 99:225–248.  https://doi.org/10.1023/A:1018909000098 CrossRefGoogle Scholar
  31. Poggi D, Katul GG (2009) Flume experiments on intermittency and zero-crossing properties of canopy turbulence. Phys Fluids 21:065103.  https://doi.org/10.1063/1.3140032 CrossRefGoogle Scholar
  32. Poggi D, Porporato A, Ridolfi K (2003) Analysis of the small-scale structure of turbulence on smooth and rough walls. Phys Fluids 15:35.  https://doi.org/10.1063/1.1521728 CrossRefGoogle Scholar
  33. Poggi D, Katul GG, Albertson JD (2004) Momentum transfer and turbulent kinetic energy budgets within a dense model canopy. Boundary-Layer Meteorol 111:589–614.  https://doi.org/10.1023/B:BOUN.0000016502.52590.af CrossRefGoogle Scholar
  34. Pruessner G (2012) Self-organized criticality: theory, models, and characterization. Cambridge University Press, CambridgeCrossRefGoogle Scholar
  35. Raupach MR (1981) Conditional statistics of Reynolds stress in rough-wall and smooth-wall turbulent boundary-layers. J Fluid Mech 108:363–382.  https://doi.org/10.1017/S0022112081002164 CrossRefGoogle Scholar
  36. Salehipour H, Peltier WR, Caulfield CP (2018) Self-organized criticality of turbulence in strongly stratified mixing layer. J Fluid Mech 856:228–256.  https://doi.org/10.1017/jfm.2018.695 CrossRefGoogle Scholar
  37. Shi B, Vidakovic B, Katul GG, Albertson JD (2005) Assessing the effects of atmospheric stability on the fine structure of surface layer turbulence using local and global multiscale approaches. Phys Fluids 17:005104.  https://doi.org/10.1063/1.1897008 CrossRefGoogle Scholar
  38. Smyth WD, Moum JN (2000) Anisotropy of turbulence in stably stratified mixing layers. Phys Fluids 12:1343–1362.  https://doi.org/10.1063/1.870386 CrossRefGoogle Scholar
  39. Sornette D (2003) Critical phenomena in natural sciences: chaos, fractals, selforganization, and disorder: concepts and tools. Springer, BerlinGoogle Scholar
  40. Sreenivasan KR, Antonia RA (1997) The phenomenology of small-scale turbulence. Annu Rev Fluid Mech 29:435–472.  https://doi.org/10.1146/annurev.fluid.29.1.435 CrossRefGoogle Scholar
  41. Sreenivasan KR, Bershadskii A (2006) Clustering properties in turbulent signals. J Stat Phys 125:1145–1153.  https://doi.org/10.1007/s10955-006-9112-0 CrossRefGoogle Scholar
  42. Sreenivasan KR, Bershadskii A, Niemela JJ (2004) Multiscale SOC in turbulent convection. Physica A 340(4):574–579CrossRefGoogle Scholar
  43. Stiperski I, Calaf M (2018) Dependence of near-surface similarity scaling on the anisotropy of atmospheric turbulence. Q J R Meteorol Soc 144:641–657.  https://doi.org/10.1002/qj.3224 CrossRefGoogle Scholar
  44. Tennekes H (1973) Intermittency of the small-scale structure of atmospheric turbulence. Boundary-Layer Meteorol 4:241–250.  https://doi.org/10.1007/BF0226523 CrossRefGoogle Scholar
  45. Uritsky VM, Paczuski M, Davila JM, Jones SI (2007) Coexistence of self-organized criticality and intermittent turbulence in the solar corona. Phys Rev Lett 99(2):025001CrossRefGoogle Scholar
  46. Vercauteren N, Boyko V, Faranda D, Stiperski I (2018) Scale interactions and anisotropy in stable boundary layers. arXiv:1809.07031v1 [physics.flu-dyn]

Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Institute of Atmospheric Sciences and Climate - National Research CouncilTorinoItaly
  2. 2.Universidade Federal de Santa MariaSanta MariaBrazil
  3. 3.Department of Pure and Applied Sciences (DiSPeA)Università degli Studi di Urbino “Carlo Bo”UrbinoItaly
  4. 4.Nicholas School of the EnvironmentDuke UniversityDurhamUSA
  5. 5.Department of Civil and Environmental EngineeringDuke UniversityDurhamUSA

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