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A Modelling Study of Flux Imbalance and the Influence of Entrainment in the Convective Boundary Layer

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Abstract

It is frequently observed in field experiments that the eddy covariance heat fluxes are systematically underestimated as compared to the available energy. The flux imbalance problem is investigated using the NCAR’s large-eddy simulation (LES) model imbedded with an online scheme to calculate Reynolds-averaged fluxes. A top–down and a bottom–up tracer are implemented into the LES model to quantify the influence of entrainment and bottom–up diffusion processes on flux imbalance. The results show that the flux imbalance follows a set of universal functions that capture the exponential decreasing dependence on u */w *, where u * and w * are friction velocity and the convective velocity scale, respectively, and an elliptic relationship to z/z i , where z i is the mixing-layer height. The source location in the boundary layer is an important factor controlling the imbalance magnitude and its horizontal and vertical distributions. The flux imbalance of heat and the bottom–up tracer is tightly related to turbulent coherent structures, whereas for the top–down diffusion, such relations are weak to nonexistent. Our results are broadly consistent with previous studies on the flux imbalance problem, suggesting that the published results are robust and are not artefacts of numerical schemes.

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References

  • Businger JA, Wyngaard JC, Izumi Y and Bradley EF (1971). Flux-profile relationships in the atmospheric surface layer. J Atmos Sci 28: 181–189

    Article  Google Scholar 

  • Davis KJ, Bakwin PS, Yi C, Berger BW, Zhao C, Teclaw RM and Isebrands JG (2003). The annual cycles of CO2 and H2O exchange over a northern mixed forest as observed from a very tall tower. Global Change Biol 9: 1278–1293

    Article  Google Scholar 

  • Deardorff JW (1980). Stratocumulus-capped mixed layers derived from a three-dimensional model. Boundary-Layer Meteorol 18: 495–527

    Article  Google Scholar 

  • Jonker HJJ, Duynkerke PG and Cuijpers JWM (1999). Mesoscale fluctuations in scalars generated by boundary layer convection. J Atmos Sci 56: 801–808

    Article  Google Scholar 

  • Kanda M, Inagaki A, Letzel MO, Raasch S and Watanabe T (2004). LES study of the energy imbalance problem with eddy covariance fluxes. Boundary-Layer Meteorol 110: 381–404

    Article  Google Scholar 

  • Klemp JB and Durran DR (1983). An upper boundary condition permitting internal gravity wave radiation in numerical mesoscale models. Mon Wea Rev 111: 430–444

    Article  Google Scholar 

  • Lee X (1998). On micrometeorological observations of surface-air exchange over tall vegetation. Agric For Meteorol 91: 39–49

    Article  Google Scholar 

  • Lee X and Black TA (1993). Atmospheric turbulence within and above a Douglas-fir stand. Part 2: eddy fluxes of sensible heat and water vapor. BoundaryLayer Meteorol 64: 369–390

    Article  Google Scholar 

  • Leuning R (2004). Measurements of trace gas fluxes in the atmosphere using eddy covariance: WPL corrections revisited. In: Lee, X (eds) Handbook of micrometeorology: a guide for surface flux measurement and analysis, pp 119–132. Kluwer Academic Publishers, Dordrecht

    Google Scholar 

  • Mahrt L (1998). Flux sampling errors for aircraft and towers. J Atmos Oceanic Tech 15: 416–429

    Article  Google Scholar 

  • Moeng CH (1984). A large-eddy simulation model for the study of planetary boundary-layer turbulence. J Atmos Sci 41: 2052–2062

    Article  Google Scholar 

  • Patton EG, Sullivan PP and Moeng CH (2005). The influence of idealized heterologeneity on wet and dry planetary boundary layers coupled to the land surface. J Atmos Sci 62: 2078–2097

    Article  Google Scholar 

  • Piacsek SA and Williams GP (1970). Conservation properties of convection difference schemes. J Comput Phys 6: 392–405

    Article  Google Scholar 

  • Purnell DK (1976). Solution of the advective equation by upstream interpolation with cubic spline. Mon Wea Rev 104: 42–48

    Article  Google Scholar 

  • Raasch S and Etling D (1998). Modeling deep ocean convection: large eddy simulation in comparison with laboratory experiments. J Phys Oceanogr 28: 1786–1802

    Article  Google Scholar 

  • Raasch S and Schröter M (2001). PALM – a large eddy simulation model performing on massively parallel computers. Meteorol Z 10: 363–372

    Article  Google Scholar 

  • Steinfeld G, Letzel MO, Raasch S, Kanda M and Inagaki A (2007). Spatial representativeness of single tower measurements and the imbalance problem with eddy-covariance fluxes: results of a large-eddy simulation study. Boundary-Layer Meteorol 123: 77–98

    Article  Google Scholar 

  • Sullivan PP, McWilliams JC and Moeng CH (1996). A grid nesting method for large-eddy simulation of planetary boundary-layer flows. Boundary-Layer Meteorol 80: 167–202

    Article  Google Scholar 

  • Twine TE, Kustas WP, Norman JM, Cook DR, Houser PR, Meyers TP, Prueger JH, Starks PJ and Wesely ML (2000). Correcting eddy-covariance flux underestimates over a grassland. Agric For Meteorol 103: 279–300

    Article  Google Scholar 

  • Webb EK, Pearman GI and Leuning R (1980). Correction of flux measurements for density effects due to heat and water vapor transfer. Quart J Roy Meteorol Soc 106: 85–100

    Article  Google Scholar 

  • Wilson K, Goldstein A, Falge E, Aubinet M, Baldocchi D, Berbigier P, Bernhofer C, Ceulemans R, Dolman H, Field C, Grelle A, Ibrom A, Law BE, Kowalski A, Meyers T, Moncrieff J, Monson R, Oechel W, Tenhunen J, Valentini R and Verma S (2002). Energy balance closure at FLUXNET sites. Agric For Meteorol 113: 223–243

    Article  Google Scholar 

  • Wyngaard JC and Brost RA (1984). Top-down and bottom–up diffusion of a scalar in the convective boundary layer. J Atmos Sci 41: 102–112

    Article  Google Scholar 

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Correspondence to Jianping Huang.

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Huang, J., Lee, X. & Patton, E.G. A Modelling Study of Flux Imbalance and the Influence of Entrainment in the Convective Boundary Layer. Boundary-Layer Meteorol 127, 273–292 (2008). https://doi.org/10.1007/s10546-007-9254-x

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  • DOI: https://doi.org/10.1007/s10546-007-9254-x

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