Boundary-Layer Meteorology

, Volume 145, Issue 1, pp 27–44

Structure Function Analysis of Two-Scale Scalar Ramps. Part II: Ramp Characteristics and Surface Renewal Flux Estimation

  • T. M. Shapland
  • A. J. McElrone
  • R. L. Snyder
  • K. T. Paw U


Ramp features in the turbulent scalar field are associated with turbulent coherent structures, which dominate energy and mass fluxes in the atmospheric surface layer. Although finer scale ramp-like shapes embedded within larger scale ramp-like shapes can readily be perceived in turbulent scalar traces, their presence has largely been overlooked in the literature. We demonstrate the signature of more than one ramp scale in structure functions of the turbulent scalar field measured from above bare ground and two types of short plant canopies, using structure-function time lags ranging in scale from isotropic to larger than the characteristic coherent structures. Spectral analysis of structure functions was used to characterize different scales of turbulent structures. By expanding structure function analysis to include two ramp scales, we characterized the intermittency, duration, and surface renewal flux contribution of the smallest (i.e., Scale One) and the dominant (i.e., Scale Two) coherent structure scales. The frequencies of the coherent structure scales increase with mean wind shear, implying that both Scale One and Scale Two are shear-driven. The embedded Scale One turbulent structure scale is ineffectual in the surface-layer energy and mass transport process. The new method reported here for obtaining surface renewal-based scalar exchange works well over bare ground and short canopies under unstable conditions, effectively eliminating the α calibration for these conditions and forming the foundation for analysis over taller and more complex surfaces.


Coherent structures Structure functions Surface renewal Temperature ramps Turbulence Flux-variance 


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  1. Anandakumar K (1999) Sensible heat flux over a wheat canopy: optical scintillometer measurements and surface-renewal analysis estimations. Agric For Meteorol 96: 145–156CrossRefGoogle Scholar
  2. Antonia RA, Chambers AJ, Friehe CA, Van Atta CW (1979) Temperature ramps in the atmospheric surface layer. J Atmos Sci 36: 99–108CrossRefGoogle Scholar
  3. Benzi R, Ciliberto S, Baudet C, Ruiz Chavarria G, Tripiccione C (1993) Extended self-similarity in turbulent flows. Phys Rev E 48: R29–R32CrossRefGoogle Scholar
  4. Castellvi F (2004) Combining surface-renewal analysis and similarity theory: a new approach for estimating sensible heat flux. Water Resour Res 40: W05201CrossRefGoogle Scholar
  5. Chen W, Novak MD, Black TA (1997a) Coherent eddies and temperature structure functions for three contrasting surfaces.Part I: ramp model with finite microfront time. Boundary-Layer Meteorol 84: 99–123CrossRefGoogle Scholar
  6. Chen W, Novak MD, Black TA (1997b) Coherent eddies and temperature structure functions for three contrasting surfaces. Part I: Renewal model for sensible heat flux. Boundary-Layer Meteorol 84: 125–147CrossRefGoogle Scholar
  7. Collineau S, Brunet Y (1993) Detection of turbulent coherent motions in a forest canopy. Part II: time-scales and conditional averages. Boundary-Layer Meteorol 66: 49–73CrossRefGoogle Scholar
  8. de Bruin HAR, Bink NI, Kroon LJM (1991) Fluxes in the surface layer under advective conditions. In: Workshop on land surface evaporation, measurement and parameterization. Springer, New York, pp 157–166Google Scholar
  9. Dias N, Chamecki M, Kan A, Okawa CMP (2004) A study of spectra, structure an correlation functions and their implications for the stationarity of the surface-layer turbulence. Boundary-Layer Meteorol 110: 165–189CrossRefGoogle Scholar
  10. Duce PD, Spano D, Snyder RL, Paw U KT (1998) Effect of different fine-wire thermocouple design on high frequency temperature measurement. In: AMS 23rd conference on agricultural and forest meteorology, Albuquerque, NM, 2–6 Nov 1998, pp 146–147Google Scholar
  11. Frisch U (1995) Turbulence: The legacy of A.N. Kolmogorov. Cambridge University Press, Cambridge, 299 ppGoogle Scholar
  12. Gao W, Shaw RH, Paw U KT (1989) Observations of organized structure in turbulent flow within and above a forest canopy. Boundary-Layer Meteorol 47: 349–377CrossRefGoogle Scholar
  13. Katul GG, Hsieh CI, Sigmond J (1997) Energy-inertial scale interactions for velocity and temperature in the unstable atmospheric surface layer. Boundary-Layer Meteorol 82: 49–80CrossRefGoogle Scholar
  14. Katul GG, Porporato A, Cava D, Siqueira MB (2006) An analysis of intermittency, scaling, and surface-renewal in atmospheric surface layer turbulence. Physica D 215: 117–126CrossRefGoogle Scholar
  15. Kolmogorov AN (1941) Local structure of turbulence in an incompressible fluid for very large Reynolds numbers. Dokl Akad Nauk SSSR 30: 299–303Google Scholar
  16. Krusche N, De Oliveira AP (2004) Characterization of coherent structures in the atmospheric surface layer. Boundary-Layer Meteorol 110: 191–211CrossRefGoogle Scholar
  17. Lloyd CR, Culf AD, Dolman AJ, Gash JH (1991) Estimates of sensible heat flux from observations of temperature fluctuations. Boundary-Layer Meteorol 57: 311–322CrossRefGoogle Scholar
  18. Mengistu MG (2007) Heat and energy exchange above different surfaces using surface-renewal. Ph.D. Thesis. University of KwaZulu-Natal, Pietermaritzburg, South AfricaGoogle Scholar
  19. Mengistu MG, Savage MJ (2010) Open water evaporation estimation for a small shallow reservoir in winter using surface-renewal. J Hydrol 380: 27–35CrossRefGoogle Scholar
  20. Paw U KT, Brunet Y, Collineau S, Shaw RH, Maitani T, Qui J, Hipps L (1992) On coherent structures in turbulence above and within agricultural plant canopies. Agric For Meteorol 61: 55–68CrossRefGoogle Scholar
  21. Paw U KT, Qiu J, Su HB, Watanabe T, Brunet Y (1995) Surface renewal analysis: a new method to obtain scalar fluxes without velocity data. Agric For Meteorol 74: 119–137CrossRefGoogle Scholar
  22. Paw U KT, Snyder RL, Spano D, Su HB (2005) Surface renewal estimates of scalar exchange. In: Hatfield JL (ed) Micrometeorology of agricultural systems. Agronomy Society of America, Madison, 584 ppGoogle Scholar
  23. Priestley CHB (1959) Turbulent transfer in the lower atmosphere. University of Chicago Press, Chicago, p 130 ppGoogle Scholar
  24. Qiu J, Paw U KT, Shaw RH (1995) Pseudo-wavelet analysis of turbulence patterns in three vegetation layers. Boundary-Layer Meteorol 72: 166–204CrossRefGoogle Scholar
  25. R Development Core Team (2012) R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna. ISBN3-900051-07-0Google Scholar
  26. Raupach MR, Finnigan JJ, Brunet Y (1989) Coherent eddies in vegetation canopies. In: Proceedings fourth Austalasian conference on heat and mass transfer, Christchurch, New Zealand, 9–12 May, pp 75–90Google Scholar
  27. Raupach MR, Finnigan JJ, Brunet Y (1996) Coherent eddies in vegetation canopies: the mixing-layer analogy. Boundary-Layer Meteorol 78: 251–382CrossRefGoogle Scholar
  28. Shapland TM, McElrone AJ, Snyder RL, Paw U KT (2012) Structure function analysis of two-scale scalar ramps. Part I: theory and modelling. Boundary-Layer Meteorol 145 (this issue)Google Scholar
  29. Snyder RL, Spano D, Paw U KT (1996) Surface renewal analysis of sensible and latent heat flux density. Boundary-Layer Meteorol 77: 249–266CrossRefGoogle Scholar
  30. Snyder RL, Paw U KT, Spano D, Duce P (1997) Surface renewal estimates of evapotranspiration. Acta Horticult 449: 49–55Google Scholar
  31. Spano D, Snyder RL, Duce P, Paw U KT (1997) Surface renewal analysis for sensible heat flux density using structure functions. Agric For Meteorol 86: 259–271CrossRefGoogle Scholar
  32. Spano D, Snyder RL, Duce P, Paw U KT (2000) Estimating sensible and latent heat flux densities from grapevine canopies using surface-renewal. Agric For Meteorol 104: 171–183CrossRefGoogle Scholar
  33. Taylor RJ (1958) Thermal structures in the lowest layers of the atmosphere. Aust J Phys 11: 168–176CrossRefGoogle Scholar
  34. Tillman JE (1972) The indirect determination of stability, heat, and momentum fluxes in the atmospheric boundary layer from simple scalar variables during dry unstable conditions. J Appl Meteorol 11: 783–792CrossRefGoogle Scholar
  35. Van Atta CW (1977) Effect of coherent structures on structure functions of temperature in the atmospheric boundary layer. Arch Mech 29: 161–171Google Scholar
  36. Wang J, Bras RL (1998) A new method for estimation of sensible heat flux from air temperature. Water Resour Res 34: 2281–2288CrossRefGoogle Scholar
  37. Wesson KH, Lai CT, Katul GG (2001) Sensible heat flux estimation by flux-variance and half-order time derivative methods. Water Resour Res 37: 2333–2343CrossRefGoogle Scholar
  38. Wharton S, Schroeder M, Paw U KT, Falk M, Bible K (2009) Turbulence consideration for comparing ecosystem exchange over old-growth and clear-cut stands for limited fetch and complex canopy flow conditions. Agric For Meteorol 149: 1477–1490CrossRefGoogle Scholar
  39. Wyngaard JC (1971) Local free convection, similarity, and the budgets of shear stress and heat flux. J Atmos Sci 28: 1171–1182CrossRefGoogle Scholar
  40. Wyngaard JC (2010) Turbulence in the atmosphere. Cambridge University Press, Cambridge, p 393 ppCrossRefGoogle Scholar
  41. Zapata N, Martinez-Cob A (2001) Estimation of sensible and latent heat flux from natural sparse vegetation surfaces using surface-renewal. J Hydrol 254: 215–228CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  • T. M. Shapland
    • 1
  • A. J. McElrone
    • 2
  • R. L. Snyder
    • 3
  • K. T. Paw U
    • 3
  1. 1.Department of Viticulture & EnologyUniversity of CaliforniaDavisUSA
  2. 2.Crops Pathology and Genetics Research UnitUnited States Department of Agriculture-Agricultural Research ServiceDavisUSA
  3. 3.Atmospheric ScienceUniversity of CaliforniaDavisUSA

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