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Mean Flow and Turbulence Statistics Over Groups of Urban-like Cubical Obstacles

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Abstract

Direct numerical simulations of turbulent flow over regular arrays of urban-like, cubical obstacles are reported. Results are analysed in terms of a formal spatial averaging procedure to enable interpretation of the flow within the arrays as a canopy flow, and of the flow above as a rough wall boundary layer. Spatial averages of the mean velocity, turbulent stresses and pressure drag are computed. The statistics compare very well with data from wind-tunnel experiments. Within the arrays the time-averaged flow structure gives rise to significant ‘dispersive stress’ whereas above the Reynolds stress dominates. The mean flow structure and turbulence statistics depend significantly on the layout of the cubes. Unsteady effects are important, especially in the lower canopy layer where turbulent fluctuations dominate over the mean flow.

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References

  • Belcher SE (2005) Mixing and transport in urban areas. Phil Trans Roy Soc 363:2947–2963

    Article  Google Scholar 

  • Belcher SE, Jerram N, Hunt JCR (2003) Adjustment of the atmospheric boundary layer to a canopy of roughness elements. J Fluid Mech 488:369–398

    Article  Google Scholar 

  • Bohm M, Finnigan JJ, Raupach MR (2000) Dispersive fluxes in canopy flows: just how important are they? Proc 24th conference on agricultural and forest meteorology, American Meteorological Society, Davis, CA

  • Britter RE, Hanna SR (2003) Flow and dispersion in urban areas. Annu Rev Fluid Mech 35:469–496

    Article  Google Scholar 

  • Castro IP, Robins AG (1977) The flow around a surface-mounted cube in uniform and turbulent streams. J Fluid Mech 79:307–335

    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 

  • Cheng H, Castro IP (2002) Near wall flow over urban-like roughness. Boundary-Layer Meteorol 104:229–259

    Article  Google Scholar 

  • Coceal O, Belcher SE (2004) A canopy model of mean winds through urban areas. Quart J Roy Meteorol Soc 130:1349–1372

    Article  Google Scholar 

  • Coceal O, Belcher SE (2005) Mean winds through an inhomogeneous urban canopy. Boundary-Layer Meteorol 115:47–68

    Article  Google Scholar 

  • Cui et al. (2004) Large-eddy simulation of turbulent flow in a street canyon. Quart J Roy Meteorol Soc 130:1373–1394

    Article  Google Scholar 

  • Delery JM (2001) Robert Legendre and Henri Werle: Toward the elucidation of three-dimensional separation. Annu Rev Fluid Mech 33:129–154

    Article  Google Scholar 

  • Djenidi L, Elvarasan R, Antonia RA (1999) The turbulent boundary layer over transverse square cavities. J Fluid Mech 395:271–294

    Article  Google Scholar 

  • Finnigan JJ (1985) Turbulent transport in flexible plant canopies. In: Hutchinson BA, Hicks BB (eds) The Forest-Atmosphere Interaction

  • Finnigan JJ (2000) Turbulence in plant canopies. Annu Rev Fluid Mech 32:519–572

    Article  Google Scholar 

  • Hamilton JM, Kim J, Waleffe F (1995) Regeneration mechanisms of near-wall turbulence structures. J Fluid Mech 287:317–348

    Article  Google Scholar 

  • Hanna SR, Tehranian S, Carissimo B, Macdonald RW, Lohner R (2002) Comparisons of model simulations with observations of mean flow and turbulence within simple obstacle arrays. Atmos Environ 36:5067–5079

    Article  Google Scholar 

  • Hunt JCR, Durbin PA (1999) Perturbed vortical layers and shear sheltering. Fluid Dyn Res 24:375–404

    Article  Google Scholar 

  • Jackson PS (1981) On the displacement height in the logarithmic profile. J Fluid Mech 111:15–25

    Article  Google Scholar 

  • Jimenez J, Pinelli A (1999) The autonomous cycle of near-wall turbulence. J Fluid Mech 389:335–359

    Article  Google Scholar 

  • Jimenez J (2004) Turbulent flows over rough walls. Annu Rev Fluid Mech 36:173–196

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Kendall JM (1985) Experimental study of disturbances produced in pre-transitional laminar boundary layer by weak free stream turbulence. AIAA Paper:85–1695

  • Leonardi S, Orlandi P, Smalley RJ, Djenidi L, Antonia RA (2003) Direct numerical simulations of turbulent channel flow with transverse square bars on one wall. J Fluid Mech 491:229–238

    Article  Google Scholar 

  • Macdonald RW, Griffiths RF, Hall DJ (1998) An improved method for the estimation of surface roughness of obstacle arrays. Atmos Environ 32:1857–1864

    Article  Google Scholar 

  • Macdonald RW (2000) Modelling the mean velocity profile in the urban canopy layer. Boundary-Layer Meteorol 97:25–45

    Article  Google Scholar 

  • Martilli A, Clappier A, Rotach MW (2002) An urban surface exchange parameterisation for mesoscale models. Boundary-Layer Meteorol 104:261–304

    Article  Google Scholar 

  • Martinuzzi R, Tropea C (1993) The flow around surface-mounted, prismatic obstacles placed in a fully-developed channel flow. J Fluids Eng 115:85–92

    Article  Google Scholar 

  • Moin P, Mahesh K (1998) Direct numerical simulation: a tool in turbulence research. Annu Rev Fluid Mech 30:539–578

    Article  Google Scholar 

  • Pao TH (1965) Structure of turbulent velocity and scalar fields at large wave numbers. Phys Fluids 8:1063

    Article  Google Scholar 

  • Poggi D, Katul GG, Albertson JD (2004) A note on the contribution of dispersive fluxes to momentum transfer within canopies. Boundary-Layer Meteorol 111:615–621

    Article  Google Scholar 

  • Raupach MR, Shaw RH (1982) Averaging procedures for flow within vegetation canopies. Boundary-Layer Meteorol 22:79–90

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Reynolds RT, Hayden P, Castro IP, Robins AG (2006) Spanwise variations in nominally rough-wall boundary layers. Expts Fluids In press

  • Snyder WH, Castro IP (2002) The critical Reynolds number for rough-wall boundary layers. J Wind Eng Ind Aerodyn 90:41–54

    Article  Google Scholar 

  • Stoesser T, Mathey F, Frohlich J, Rodi W (2003) LES of flow over multiple cubes. ERCOFTAC Bull No. 56

  • Thomas TG, Yao YF, Sandham ND (2003) Structure and energetics of a turbulent trailing edge flow. Comput Math Appl 46:671–680

    Article  Google Scholar 

  • Tobak M, Peake DJ (1982) Topology of three-dimensional separated flows. Annu Rev Fluid Mech 14:61–85

    Article  Google Scholar 

  • Yao YF, Thomas TG, Sandham ND, Williams JJR (2001) Direct numerical simulation of turbulent flow over a rectangular trailing edge. Theoret Comput Fluid Dyn 14:337–358

    Article  Google Scholar 

Download references

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Correspondence to O. Coceal.

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Coceal, O., Thomas, T.G., Castro, I.P. et al. Mean Flow and Turbulence Statistics Over Groups of Urban-like Cubical Obstacles. Boundary-Layer Meteorol 121, 491–519 (2006). https://doi.org/10.1007/s10546-006-9076-2

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  • DOI: https://doi.org/10.1007/s10546-006-9076-2

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