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Organized Structure of Active Turbulence Over an Array of Cubes within the Logarithmic Layer of Atmospheric Flow

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Abstract

We investigate the coherent structure of atmosphere turbulence over very large roughness within a fully rough, high Reynolds number turbulent flow. The horizontal distributions of coherent turbulence were determined by multipoint measurements of velocity fluctuations using sonic anemometers in a comprehensive outdoor scale model experiment for urban climate (COSMO). COSMO is made up of 512 cubical obstacles, each 1.5 m on a side, arranged in a rectangular pattern on a flat 50 m × 100 m concrete plate. A total of 15 sets of sonic anemometers were aligned horizontally within the logarithmic layer above this site. The velocity fluctuations observed in COSMO were decomposed into active and inactive contributions by applying a spatial-filtering method, and which used a simple moving average along the spanwise direction of the predominant flow as a filter function. The size of the filter should be between the sizes of the active and inactive fluctuations. This method potentially eliminates the considerable portion of low frequency modes included in the horizontal velocity fluctuation, while preserving well the Reynolds stress. The structural characteristics of the active turbulence were qualitatively similar to those measured over various surface configurations. Overall, the observed structures of the active turbulence are composed of very large streaks of low momentum fluid elongated in the streamwise direction with some sub-structures included in the streaks. The sub-structures were the main cause of the ejections, which accompany horizontal vortices. The active motion, including the streaky structures, did not reproduce the lower frequency peak of the bi-modal distribution of the horizontal velocity spectra, but reproduced the higher frequency mode that robustly follows inner-layer similarity (i.e. Monin–Obukhov similarity).

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References

  • Adrian RJ, Meinhart CD, Tomkins CD (2000) Vortex organization in the outer region of the turbulent boundary layer. J Fluid Mech 422: 1–54

    Article  Google Scholar 

  • Bhaganagar K, Kim J, Coleman G (2004) Effect of roughness on wall-bounded turbulence. Flow Turb Combust 72: 463–492

    Article  Google Scholar 

  • Bradshaw P (1967) Inactive motions and pressure fluctuations in turbulent boundary layers. J Fluid Mech 30: 241–258

    Article  Google Scholar 

  • Christen A, Gorsel E, Vogt R (2007) Coherent structures in urban roughness sublayer turbulence. Int J Climatol 27: 1955–1968

    Article  Google Scholar 

  • Castro IP, Cheng H, Reynolds R (2006) Turbulence over urban-type roughness: deductions from wind-tunnel measurements. Boundary-Layer Meteorol 118: 109–131

    Article  Google Scholar 

  • Coceal O, Dobre A, Thomas TG, Belcher SE (2007) Structure of turbulent flow over regular arrays of cubical roughness. J Fluid Mech 589: 375–409

    Article  Google Scholar 

  • Dennis DJC, Nickels TB (2008) On the limitations of Taylor’s hypothesis in constructing long structures in a turbulent boundary layer. J Fluid Mech 614: 197–206

    Article  Google Scholar 

  • Drobinski P, Carlotti P, Newsom RK, Banta RM, Foster RC, Redelsperger JL (2004) The structure of the near-neutral atmospheric surface layer. J Atmos Sci 61: 699–714

    Article  Google Scholar 

  • Foster RC, Vianey F, Drobinski P, Carlotti P (2006) Near-surface coherent structures and the vertical momentum flux in a large-eddy simulation of the neutrally-stratified boundary layer. Boundary-Layer Meteorol 120: 229–255

    Article  Google Scholar 

  • Head MR, Bandyopadhyay P (1981) New aspects of turbulent boundary-layer structure. J Fluid Mech 107: 297–337

    Article  Google Scholar 

  • Hutchins N, Marusic I (2007) Evidence of very long meandering features in the logarithmic region of turbulent boundary layers. J Fluid Mech 579: 1–28

    Article  Google Scholar 

  • Inagaki A, Kanda M (2008) Turbulent flow similarity over an array of cubes in near-neutrally stratified atmospheric flow. J Fluid Mech 615: 101–120

    Article  Google Scholar 

  • Kaimal JC, Wyngaard JC, Izumi Y, Cote OR (1972) Spectral characteristics of surface layer turbulence. Q J Roy Meteorol Soc 98: 563–589

    Article  Google Scholar 

  • Kanda M, Moriwaki R, Kasamatsu F (2004) Large eddy simulation of turbulent organized structure within and above explicitly resolved cubic arrays. Boundary-Layer Meteorol 112: 343–368

    Article  Google Scholar 

  • Kanda M (2006) Large eddy simulations on the effects of surface geometry of building arrays on turbulent organized structures. Boundary-Layer Meteorol 118: 151–168

    Article  Google Scholar 

  • Kanda M, Kanega M, Kawai T, Sugawara H, Moriwaki R (2007) Roughness lengths for momentum and heat derived from outdoor urban scale models. J Appl Meteorol Climatol 46: 1067–1079

    Article  Google Scholar 

  • Kawahara G, Kida S (2001) Periodic motion embedded in plane Couette turbulence: regeneration cycle and burst. J Fluid Mech 449: 291–300

    Article  Google Scholar 

  • Kim KC, Adrian RJ (1999) Very large-scale motion in the outer layer. Phys Fluid 11: 417–422

    Article  Google Scholar 

  • Klein SJ, Reynolds WC, Schraub FA, Runstadler PW (1967) The structure of turbulent boundary layers. J Fluid Mech 30: 741–773

    Article  Google Scholar 

  • Krogstad P-A, Antonia RA, Browne WB (1992) Comparison between rough- and smooth-wall turbulent boundary layers. J Fluid Mech 245: 599–617

    Article  Google Scholar 

  • Kunkel GJ, Marusic I (2006) Study of the near-wall-turbulent region of the high-Reynolds-number boundary layer using an atmospheric flow. J Fluid Mech 548: 375–402

    Article  Google Scholar 

  • Lewalle J, Delville J, Bonnet JP (2000) Decomposition of mixing layer turbulence into coherent structure and background fluctuations. Flow Turb Combust 64: 301–328

    Article  Google Scholar 

  • Marsic I, Hutchins N (2008) Study of the log-layer structure in wall turbulence over a very large range of Reynolds number. Flow Turb Combust 81: 115–130

    Article  Google Scholar 

  • McNaughton KG, Raubach J (1998) Unsteadiness as a cause of non-equality of eddy diffusivities for heat and vapour at the base of an advective inversion. Boundary-Layer Meteorol 88: 479–504

    Article  Google Scholar 

  • Moriwaki R, Kanda M (2006) Local and global similarity in turbulent transfer of heat, water vapor, and CO2 in the dynamic convective sublayers over a suburban area. Boundary-Layer Meteorol 120: 163–179

    Article  Google Scholar 

  • Newsom R, Calhoun R, Ligon D, Allwine J (2008) Linearly organized turbulence structures observed over a suburban area by dual-doppler lidar. Boundary-Layer Meteorol 127: 111–130

    Article  Google Scholar 

  • Nickels TB, Marusic I, Hafez S, Chong MS (2005) Evidence of the \({k_1^{-1}}\) Law in a high-Reynolds-number turbulent boundary layer. Phys Rev Lett 95: 074501

    Article  Google Scholar 

  • Oikawa S, Meng Y (1995) Turbulence characteristics and organized motion in a suburban roughness sublayer. Boundary-Layer Meteorol 74: 289–312

    Article  Google Scholar 

  • Porté-Agel F, Pahlow H, Meneveau C, Parlange MB (2001) Atmospheric stability effect on subgrid-scale physics for large-eddy simulation. Adv Water Res 24: 1085–1102

    Article  Google Scholar 

  • Raupach MR, Antonia RA, Rajagopalan S (1991) Rough-wall turbulent boundary layers. Appl Mech Rev 44: 1–25

    Article  Google Scholar 

  • Robinson SK (1991) Coherent motions in the turbulent boundary layer. Annu Rev Fluid Mech 32: 519–571

    Google Scholar 

  • Roth M (2000) Review of atmospheric turbulence over cities. Q J Roy Meteorol Soc 126: 941–990

    Article  Google Scholar 

  • Shaw RH, Tavangar J, Ward DP (1983) Structure of Reynolds stress in a canopy layer. J Clim Appl Meteorol 22: 1922–1931

    Article  Google Scholar 

  • Shaw RH, Brunet Y, Finnigan JJ, Raupach MR (1995) A wind tunnel study of air flow in waving wheat: two-point velocity statistics. Boundary-Layer Meteorol 76: 349–376

    Article  Google Scholar 

  • Stull RB (1988) An introduction to boundary layer meteorology. Kluwer Academic Publishers, Dordrecht, 670 pp

    Google Scholar 

  • Tomkins CJ, Adrian RJ (2003) Spanwise structure and scale growth in turbulent boundary layers. J Fluid Mech 490: 37–74

    Article  Google Scholar 

  • Townsend AA (1976) The structure of turbulent shear flow. Cambridge University Press, Cambridge, p 429

    Google Scholar 

  • Volino RJ, Schultz MP, Flack KA (2007) Turbulent structure in rough- and smooth-wall boundary layers. J Fluid Mech 592: 263–293

    Article  Google Scholar 

  • Watanabe T (2004) Large-eddy simulation of coherent turbulence structures associated with scalar ramps over plant canopies. Boundary-Layer Meteorol 112: 307–341

    Article  Google Scholar 

  • Zhou J, Adrian RJ, Balachandar S, Kendall TM (1999) Mechanisms for generating coherent packets of hairpin vortices in channel flow. J Fluid Mech 387: 353–396

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Civil Engineering, Tokyo Institute of Technology, Tokyo, Japan

    Atsushi Inagaki

  2. Department of International Development Engineering, Tokyo Institute of Technology, Tokyo, Japan

    Manabu Kanda

Authors
  1. Atsushi Inagaki
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  2. Manabu Kanda
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Correspondence to Atsushi Inagaki.

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Inagaki, A., Kanda, M. Organized Structure of Active Turbulence Over an Array of Cubes within the Logarithmic Layer of Atmospheric Flow. Boundary-Layer Meteorol 135, 209–228 (2010). https://doi.org/10.1007/s10546-010-9477-0

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  • DOI: https://doi.org/10.1007/s10546-010-9477-0

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