Influence of the Measurement Height on the Vertical Coherence of Natural Wind

  • E. CheynetEmail author
Conference paper
Part of the Lecture Notes in Civil Engineering book series (LNCE, volume 27)


Two years of sonic anemometer records, collected on the offshore platform FINO1 in the North Sea are used to study the vertical coherence of the along-wind and vertical wind components under near-neutral conditions. The goal is to assess the influence of the measurement height on the coherence estimates. For the data set considered, a 3-parameter coherence model, which depends explicitly on the measurement height and accounts for the limited dimensions of the eddies, is found to be more appropriate than the Davenport model or the uniform shear model to describe the vertical coherence. This is partly because the latter two models do not take into account the blockage effect by the sea surface. The computation of the joint acceptance function of a line-like vertical structure with the Davenport model and the 3-parameter coherence model suggests that the use of the latter model may substantially improve the design of high-rise wind-sensitive structures such as wind turbines.


Full-scale Marine atmospheric boundary layer Coherence Turbulence Surface layer 



The author would like to acknowledge the Federal Ministry for Economic Affairs and Industry and the Projektträger Jülich for funding the FINO project, and UL DEWI for providing the sonic data. Prof. Jasna Bogunović Jakobsen is gratefully acknowledged for her review of the manuscript. Thanks are also due to Prof. Joachim Reuder for his useful advice regarding the wind data analysis.


  1. Bendat J, Piersol A (2011) Random data: analysis and measurement procedures. Wiley series in probability and statistics. WileyGoogle Scholar
  2. Bietry J, Delaunay D, Conti E (1995) Comparison of full-scale measurement and computation of wind effects on a cable-stayed bridge. J Wind Eng Ind Aerodyn 57(2–3):225–235CrossRefGoogle Scholar
  3. Bowen AJ, Flay RGJ, Panofsky HA (1983) Vertical coherence and phase delay between wind components in strong winds below 20 m. Bound-Layer Meteorol 26(4):313–324CrossRefGoogle Scholar
  4. Cheynet E, Jakobsen JB, Obhrai C (2017) Spectral characteristics of surface-layer turbulence in the North Sea. Energy Procedia 137:414–427CrossRefGoogle Scholar
  5. Cheynet E, Jakobsen JB, Reuder J (2018) Velocity spectra and coherence estimates in the marine atmospheric boundary layer. Bound-Layer Meteorol:1–32Google Scholar
  6. Davenport A (1964) The buffeting of large superficial structures by atmospheric turbulence. Ann N Y Acad Sci 116(1):135–160CrossRefGoogle Scholar
  7. Davenport AG (1961) The spectrum of horizontal gustiness near the ground in high winds. Q J R Meteorol Soc 87(372):194–211CrossRefGoogle Scholar
  8. Davenport AG (1962) The response of slender, line-like structures to a gusty wind. Proc Inst Civ Eng 23(3):389–408Google Scholar
  9. De Maré M, Mann J (2014) Validation of the Mann spectral tensor for offshore wind conditions at different atmospheric stabilities. J Phys Conf Ser 524:012106Google Scholar
  10. Eliassen L, Obhrai C (2016) Coherence of turbulent wind under neutral wind conditions at FINO1. Energy Procedia 94:388–398CrossRefGoogle Scholar
  11. Geernaert G (1988) Measurements of the angle between the wind vector and wind stress vector in the surface layer over the North Sea. J Geophys Res Oceans 93(C7):8215–8220CrossRefGoogle Scholar
  12. Högström U (1988) Non-dimensional wind and temperature profiles in the atmospheric surface layer: a re-evaluation. Bound-Layer Meteorol 42(1):55–78CrossRefGoogle Scholar
  13. Högström U, Hunt JCR, Smedman AS (2002) Theory and measurements for turbulence spectra and variances in the atmospheric neutral surface layer. Bound-Layer Meteorol 103(1):101–124CrossRefGoogle Scholar
  14. Hunt JC, Morrison JF (2000) Eddy structure in turbulent boundary layers. Eur J Mech-B/Fluids 19(5):673–694CrossRefGoogle Scholar
  15. IEC 61400-1 (2005) IEC 61400–1 Wind turbines–Part 1: Design requirementsGoogle Scholar
  16. IEC61400-3 (2009) Wind Turbines–Part 3: Design Requirements for Offshore Wind TurbinesGoogle Scholar
  17. Iwatani Y, Shiotani M (1984) Turbulence of vertical velocities at the coast of reclaimed land. J Wind Eng Ind Aerodyn 17(1):147–157CrossRefGoogle Scholar
  18. Kaimal J, Gaynor J (1991) Another look at sonic thermometry. Bound-layer Meteorol 56(4):401–410CrossRefGoogle Scholar
  19. Kristensen L, Jensen N (1979) Lateral coherence in isotropic turbulence and in the natural wind. Bound-Layer Meteorol 17(3):353–373CrossRefGoogle Scholar
  20. Kristensen L, Kirkegaard P (1986) Sampling problems with spectral coherence. Risø National Laboratory. Risø-R-526Google Scholar
  21. Mann J (1994) The spatial structure of neutral atmospheric surface-layer turbulence. J Fluid Mech 273CrossRefGoogle Scholar
  22. Mann J (1998) Wind field simulation. Probab Eng Mech 13(4):269–282CrossRefGoogle Scholar
  23. Mikkelsen T, Larsen SE, Jørgensen HE, Astrup P, Larsén XG (2017) Scaling of turbulence spectra measured in strong shear flow near the Earth’s surface. Phys Scr 92(12):124,002CrossRefGoogle Scholar
  24. Miyata T, Yamada H, Katsuchi H, Kitagawa M (2002) Full-scale measurement of Akashi-Kaikyo Bridge during typhoon. J Wind Eng Ind Aerodyn 90(12):1517–1527CrossRefGoogle Scholar
  25. Murtagh P, Basu B, Broderick B (2004) Simple models for natural frequencies and mode shapes of towers supporting utilities. Comput Struct 82(20–21):1745–1750CrossRefGoogle Scholar
  26. Neumann T, Nolopp K (2007) Three years operation of far offshore measurements at FINO1. DEWI Mag 30:42–46Google Scholar
  27. Nieuwstadt FT (1984) The turbulent structure of the stable, nocturnal boundary layer. J Atmos Sci 41(14):2202–2216CrossRefGoogle Scholar
  28. Oliveira G, Magalhães F, Cunha Á, Caetano E (2018) Continuous dynamic monitoring of an onshore wind turbine. Eng Struct 164:22–39CrossRefGoogle Scholar
  29. Panofsky HA, Mizuno T (1975) Horizontal coherence and pasquill’s beta. Bound-Layer Meteorol 9(3):247–256CrossRefGoogle Scholar
  30. Panofsky HA, Thomson D, Sullivan D, Moravek D (1974) Two-point velocity statistics over Lake Ontario. Bound-Layer Meteorol 7(3):309–321CrossRefGoogle Scholar
  31. Ropelewski CF, Tennekes H, Panofsky H (1973) Horizontal coherence of wind fluctuations. Bound-Layer Meteorol 5(3):353–363CrossRefGoogle Scholar
  32. Sacré C, Delaunay D (1992) Structure spatiale de la turbulence au cours de vents forts sur differents sites. J Wind Eng Ind Aerodyn 41(1–3):295–303CrossRefGoogle Scholar
  33. Scanlan R (1978) The action of flexible bridges under wind, II: Buffeting theory. J Sound Vib 60(2):201–211CrossRefGoogle Scholar
  34. Schotanus P, Nieuwstadt F, De Bruin H (1983) Temperature measurement with a sonic anemometer and its application to heat and moisture fluxes. Bound-Layer Meteorol 26(1):81–93CrossRefGoogle Scholar
  35. Smedman AS, Högström U, Sjöblom A (2003) A note on velocity spectra in the marine boundary layer. Bound-Layer Meteorol 109(1):27–48CrossRefGoogle Scholar
  36. Sorbjan Z (1986) On similarity in the atmospheric boundary layer. Bound-Layer Meteorol 34(4):377–397CrossRefGoogle Scholar
  37. Tchen C (1953) On the spectrum of energy in turbulent shear flow. J Res Nat Bur StanGoogle Scholar
  38. Thresher R, Robinson M, Veers P (2007) To capture the wind. IEEE Power Energy Mag 5(6):34–46CrossRefGoogle Scholar
  39. Toriumi R, Katsuchi H, Furuya N (2000) A study on spatial correlation of natural wind. J Wind Eng Ind Aerodyn 87(2):203–216CrossRefGoogle Scholar
  40. Türk M, Emeis S (2010) The dependence of offshore turbulence intensity on wind speed. J Wind Eng Ind Aerodyn 98(8–9):466–471CrossRefGoogle Scholar
  41. Weber R (1999) Remarks on the definition and estimation of friction velocity. Bound-Layer Meteorol 93(2):197–209CrossRefGoogle Scholar
  42. Welch P (1967) The use of fast Fourier transform for the estimation of power spectra: a method based on time averaging over short, modified periodograms. IEEE Trans Audio Electroacoust 15(2):70–73CrossRefGoogle Scholar
  43. Westerhellweg A, Neumann T, Riedel V (2012) FINO1 mast correction. Dewi Mag 40:60–66Google Scholar
  44. Wilczak JM, Oncley SP, Stage SA (2001) Sonic anemometer tilt correction algorithms. Bound-Layer Meteorol 99(1):127–150CrossRefGoogle Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Mechanical and Structural Engineering and Materials ScienceUniversity of StavangerStavangerNorway

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