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Characteristics of the Drag Coefficient in the Roughness Sublayer over a Complex Urban Surface

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Abstract

The statistics of momentum exchange in the urban roughness sublayer are investigated. The analysis focuses on the characteristics of the dimensionless friction velocity, \({u_{*}}/U\), which is defined as the square root of the drag coefficient. The turbulence observations were made at a height of 47 m above the ground on the 325-m meteorological tower, which is located in a very inhomogeneous urban area in Beijing. Under neutral conditions, the dependence of the drag coefficient on wind speed varies with wind direction. When the airflow is from the area of densely built-up buildings, the drag coefficient does not vary with wind speed, while when the airflow is from the area covered by vegetation, the drag coefficient appears to decrease with increasing wind speed. Also, the drag coefficient does not vary monotonically with the atmospheric stability. Both increasing stability and increasing instability lead to the decrease of the drag coefficient, implying that the roughness length and zero-plane displacement may vary in urban areas.

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References

  • Al-Jiboori MH (2008) Correlation coefficients in urban turbulence. Boundary-Layer Meteorol 126:311–321

    Article  Google Scholar 

  • Al-Jiboori MH, Hu F (2005) Surface roughness around a meteorological tower of 325-m and its effect on unban turbulence. Adv Atmos Sci 22:595–605

    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 

  • Christen A (2005) Atmospheric turbulence and surface energy exchange in urban environments—results from the Basel Urban Boundary Layer Experiment (BUBBLE). PhD Thesis, University of Basel, Basel, 140 pp. http://edoc.unibas.ch/228/1/DissB_7159.pdf

  • Christen A, Rotach MW, Vogt R (2009) The budget of turbulent kinetic energy in the urban roughness sublayer. Boundary-Layer Meteorol 131:193–222

    Article  Google Scholar 

  • Claus J, Coceal O, Thomas TG, Branford S, Belcher SE, Castro IP (2012) Wind-direction effects on urban-type flows. Boundary-Layer Meteorol 142:265–287

    Article  Google Scholar 

  • Feigenwinter C, Vogt R, Parlow E (1999) Vertical structure of selected turbulence characteristics above an urban canopy. Theor Appl Climatol 62:51–63

    Article  Google Scholar 

  • Garratt JR (1992) The atmospheric boundary layer. Cambridge University Press, UK, 316 pp

  • Grachev AA, Fairall CW, Larsen SE (1998) On the determination of the neutral drag coefficient in the convective boundary layer. Boundary-Layer Meteorol 86:257–278

    Article  Google Scholar 

  • Grimmond CSB (2006) Progress in measuring and observing the urban atmosphere. Theor Appl Climatol 84:3–22

    Article  Google Scholar 

  • Grimmond CSB, Oke TR (1999) Aerodynamic properties of urban areas derived from analysis of surface form. J Appl Meteorol 38:1262–1292

    Article  Google Scholar 

  • Grimmond CSB, Salmond JA, Oke TR, Offerle B, Lemonsu A (2004) Flux and turbulence measurements at a densely built-up site in Marseille: heat, mass (water and carbon dioxide), and momentum. J Geophys Res 109:D24101. doi:10.1029/2004JD004936

    Article  Google Scholar 

  • Harman IN (2012) The role of roughness sublayer dynamics within surface exchange schemes. Boundary-Layer Meteorol 142:1–20

    Article  Google Scholar 

  • Harman IN, Finnigan JJ (2007) A simple unified theory for wind in the canopy and roughness sublayer. Boundary-Layer Meteorol 123:339–363

    Article  Google Scholar 

  • Högström U, Bergström H, Alexandersson H (1982) Turbulence characteristics in a near neutrally stratified urban atmosphere. Boundary-Layer Meteorol 23:449–472

    Article  Google Scholar 

  • Kastner-Klein P, Rotach MW (2004) Mean flow and turbulence characteristics in an urban roughness sublayer. Boundary-Layer Meteorol 111:58–84

    Article  Google Scholar 

  • Kastner-Klein P, Fedorovich E, Rotach MW (2001) A wind-tunnel study of organized turbulent motions in urban street canyons. J Wind Eng Ind Aerodyn 89:849–861

    Article  Google Scholar 

  • Klipp C (2007) Wind direction dependence of atmospheric boundary layer turbulence parameters in the urban roughness sublayer. J Appl Meteorol Climatol 46:2086–2097

    Article  Google Scholar 

  • Liu G, Sun J (2010) Impact of surface variations on the momentum flux above the unban canopy. Theor Appl Climatol 101:411–419

    Article  Google Scholar 

  • Liu G, Sun J, Jiang W (2009) Observational verification of urban surface roughness parameters derived from morphological models. Meteorol Appl 16:205–213

    Article  Google Scholar 

  • Louka P (1999) Measurements of airflow in an urban environment. PhD Thesis, University of Reading, UK

  • Mahrt L, Vickers D, Sun J, Jensen NO, Jørgensen H, Pardyjak E, Fernando H (2001) Determination of the surface drag coefficient. Boundary-Layer Meteorol 99:249–276

    Article  Google Scholar 

  • Moriwaki R, Kanda M (2006) Flux-gradient profiles for momentum and heat over an urban surface. Theor Appl Climatol 84:127–135

    Article  Google Scholar 

  • Nordbo A, Jarvi L, Haapanala S, Moilanen J, Vesala T (2013) Intra-city variance in urban mophology and turbulence structure in Helsinki, Finland. Boundary-Layer Meteorol 146:469–496

    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 

  • Quan L, Hu F (2009) Relationship between turbulent flux and variance in the urban canopy. Meteorol Atmos Phys 104:29–36

    Article  Google Scholar 

  • Rao KG (2004) Estimation of the exchange coefficient of heat during low wind convective conditions. Boundary-Layer Meteorol 111:247–273

    Article  Google Scholar 

  • Raupach MR (1992) Drag and drag partition on rough surfaces. Boundary-Layer Meteorol 60:395–395

    Article  Google Scholar 

  • Raupach MR (1994) Simplified expressions for vegetation roughness length and zero-plane displacement as functions of canopy height and area index. Boundary-Layer Meteorol 71:212–216

    Article  Google Scholar 

  • Rotach MW (1993a) Turbulence close to a rough urban surface, Part I: Reynolds stress. Boundary-Layer Meteorol 66:1–28

    Article  Google Scholar 

  • Rotach MW (1993b) Turbulence close to a rough urban surface, Part II: variances and gradients. Boundary-Layer Meteorol 66:75–92

    Article  Google Scholar 

  • Rotach MW (2001) Simulation of urban-scale dispersion using a lagrangian stochastic dispersion model. Boundary-Layer Meteorol 99:379–410

    Article  Google Scholar 

  • Roth M (1993) Turbulent transfer relationships over an urban surface. II: integral statistics. Q J R Meteorol Soc 119:1105–1120

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Roth M, Oke TR (1995) Relative efficiencies of turbulent transfer of heat, mass, and momentum over a patchy urban surface. J Atmos Sci 52:1863–1874

    Article  Google Scholar 

  • Stull RB (1988) An introduction to boundary layer meteorology. Kluwer, Dordrecht, 666 pp

  • Wood CR, Lacser A, Barlow JF, Padhra A, Belcher SE, Nemitz E, Helfter C, Famulari D, Grimmond CSB (2010) Turbulent flow at 190 m height above London during 2006–2008: a climatology and the applicability of similarity theory. Boundary-Layer Meteorol 137:77–97

    Article  Google Scholar 

  • Zilitinkevich SS, Mammarella I, Baklanov AA, Joffre SM (2008) The effect of stratification on the aerodynamic roughness length and displacement height. Boundary-Layer Meteorol 129:179–190

    Article  Google Scholar 

Download references

Acknowledgments

This study was supported by the State Key Basic Program under Grant No. 2010CB428501, the National Nature Science Foundation of China under Grant No. 40905002, and the Jiangsu Provincial Collaborative Innovation Center of Climate Change. The authors would like to thank the reviewers whose suggestions greatly helped to improve the manuscript.

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Correspondence to Jianning Sun.

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Peng, Z., Sun, J. Characteristics of the Drag Coefficient in the Roughness Sublayer over a Complex Urban Surface. Boundary-Layer Meteorol 153, 569–580 (2014). https://doi.org/10.1007/s10546-014-9949-8

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