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Turbulent kinetic energy budgets from a large-eddy simulation of airflow above and within a forest canopy

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Abstract

The output of a large-eddy simulation was used to study the terms ofthe turbulent kinetic energy (TKE) budget for the air layers above andwithin a forest. The computation created a three-dimensional,time-dependent simulation of the airflow, in which the lowest third ofthe domain was occupied by drag elements and heat sources to representthe forest. Shear production was a principal source of TKE in theupper canopy, diminishing gradually above tree-top height and moresharply with depth in the canopy. The transfer of energy to subgridscales (dissipation) was the main sink in the upper part of the domainbut diminished rapidly with depth in the canopy. Removal ofresolved-scale TKE due to canopy drag was extremely important,occurring primarily in the upper half of the forest where the foliagedensity was large. Turbulent transport showed a loss at the canopytop and a gain within the canopy. These general features have beenfound elsewhere but uncertainty remains concerning the effects ofpressure transport. In the present work, pressure was calculateddirectly, allowing us to compute the pressure diffusion term. Wellabove the canopy, pressure transport was smaller than, and opposite insign to, the turbulent transport term. Near the canopy top andbelow, pressure transport acted in concert with turbulent transport toexport TKE from the region immediately above and within the uppercrown, and to provide turbulent energy for the lower parts of theforest. In combination, the transport terms accounted for over half ofthe TKE loss near the canopy top, and in the lowest two-thirds of thecanopy the transport terms were the dominant source terms in thebudget. Moreover, the pressure transport was the largest source ofturbulent kinetic energy in the lowest levels of the canopy, beingparticularly strong under convective conditions. These resultsindicate that pressure transport is important in the plant canopyturbulent kinetic energy budget, especially in the lowest portion ofthe stand, where it acts as the major driving force for turbulentmotions.

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References

  • Andren, A., Brown, A. R., Graf, J., Mason, P. J.,Moeng, C.-H., Nieuwstadt, F. T. M., and Schumann, U.: 1994, 'Large-Eddy Simulation of a Neutrally Stratified Boundary Layer: A Comparison of Four Computer Codes', Quart. J. Roy. Meteorol. Soc. 120, 1457–1484.

    Google Scholar 

  • Brunet, Y., Finnigan, J. J., and Raupach, M. R.: 1994, 'A Wind Tunnel Study of Air Flow in Waving Wheat: Single Point Velocity Measurements', Boundary-Layer Meteorol. 70, 95–132.

    Google Scholar 

  • Deardorff, J. W.: 1980, 'Stratocumulus-Capped Mixed Layers Derived From a Three-Dimensional Model', Boundary-Layer Meteorol. 18, 495–527.

    Google Scholar 

  • Fox, D. G. and Orzag, S. A.: 1973, 'Pseudospectral Approximation to Two-Dimensional Turbulence', J. Comput. Phys. 11, 612–619.

    Google Scholar 

  • Holland, J. Z.: 1989, 'On Pressure-DrivenWind in Deep Forests', J. Appl. Meteorol. 28, 1349–1355.

    Google Scholar 

  • Kaimal, J. C. and Finnigan, J. J.: 1994, Atmospheric Boundary Layer Flows: Their Structure and Measurement, Oxford University Press, New York, 289 pp.

    Google Scholar 

  • Kanda, M. and Hino, M.: 1994, 'Organized Structures in Developing Turbulent Flow Within and Above a Plant Canopy, Using a Large Eddy Simulation', Boundary-Layer Meteorol. 68, 237–257.

    Google Scholar 

  • Leclerc, M. Y., Beissner, K. C., Shaw, R. H., den Hartog, G., and Neumann, H. H.: 1990, 'The Influence of Atmospheric Stability on the Budgets of the Reynolds Stress and Turbulent Kinetic Energy Within and Above a Deciduous Forest, J. Appl. Meteorol. 29, 916–933.

    Google Scholar 

  • Lesnik, G. E.: 1974, 'Results of Measurement of Turbulent Energy Balance Components in a Layer of Vegetation', Izv. Atmos. Oceanic Phys. 10, 652–655.

    Google Scholar 

  • Maitani, T. and Seo, T.: 1985, 'Estimates of Velocity-Pressure and Velocity-Pressure Gradient Interactions in the Surface Layer Over Plant Canopies', Boundary-Layer Meteorol. 33, 51–60.

    Google Scholar 

  • Mason, P. J.: 1989, 'Large-Eddy Simulation of the Convective Boundary Layer', J. Atmos. Sci. 46, 1492–1516.

    Google Scholar 

  • Mason, P. J.: 1994, 'Large-Eddy Simulation: A Critical Review of the Technique', Quart. J. Roy. Meteorol. Soc. 120, 1–26.

    Google Scholar 

  • McBean, G. A. and Elliott, J. A.: 1975, 'The Vertical Transports of Kinetic Energy and Pressure in the Boundary Layer', J. Atmos. Sci. 32, 753–766.

    Google Scholar 

  • Meyers, T. P. and Baldocchi, D. D.: 1991, 'The Budgets of Turbulent Kinetic Energy and Reynolds Stress Within and Above a Deciduous Forest', Agric. For. Meteorol. 53, 207–222.

    Google Scholar 

  • Meyers, T. P. and Paw U, K. T.: 1986, 'Testing of a Higher-Order Closure Model for Flow Within and Above Plant Canopies', Boundary-Layer Meteorol. 37, 297–311.

    Google Scholar 

  • Meyers, T. P. and Paw U, K. T.: 1987, 'Modeling the Plant Canopy Micrometeorology with Higher-Order Closure Principles', Agric. For. Meteorol. 41, 143–163.

    Google Scholar 

  • Moeng, C.-H.: 1984, 'A Large-Eddy Simulation Model for the Study of Planetary Boundary-Layer Turbulence', J. Atmos. Sci. 41, 2052–2062.

    Google Scholar 

  • Moeng, C.-H. and Wyngaard, J. C.: 1988, 'Spectral Analysis of Large-Eddy Simulations of the Convective Boundary Layer', J. Atmos. Sci. 45, 3573–3587.

    Google Scholar 

  • Moeng,C.-H. and Wyngaard, J.C.: 1989, 'Evaluation of Turbulent Transport and DissipationClosures in Second-Order Modeling', J. Atmos. Sci. 46, 2311–2333.

    Google Scholar 

  • Nieuwstadt, F. T. M., Mason, P. J., Moeng, C.-H., and Schumann, U.: 1993, 'Large-eddy Simulation of the Convective Boundary Layer: A Comparison of Four Computer Codes', in F. Durst, R. Friedrich, B. E. Launder, F. W. Schmidt, U. Schumann and J. H. Whitelaw (eds.), Turbulent Shear Flows 8, Springer-Verlag, Berlin, pp. 343–367.

    Google Scholar 

  • Patton, E. G., Shaw, R. H., Paw U, K. T., and Moeng, C.-H.: 1994, 'AComparison of Two Large-Eddy Simulations of Turbulent Flow Above andWithin a Forest Canopy', inProc. Twenty-First Conf. of the Amer. Meteorol. Soc. on Agricultural and Forest Meteorol., San Diego, California, pp. 88–91.

  • Raupach, M. R., Coppin, P. A., and Legg, B. J.: 1986, 'Experiments on Scalar Dispersion Within a Model Plant Canopy. Part I: The Turbulence Structure', Boundary-Layer Meteorol. 35, 21–52.

    Google Scholar 

  • Raupach, M. R. and Shaw, R.H.: 1982, 'Averaging Procedures for FlowWithinVegetation Canopies', Boundary-Layer Meteorol. 22, 79–90.

    Google Scholar 

  • Shaw, R. H., den Hartog, G., and Neumann, H. H.: 1988, 'Influence of Foliar Density and Thermal Stability on Profiles of Reynolds Stress and Turbulence Intensity in a Deciduous Forest', Boundary-Layer Meteorol. 45, 391–409.

    Google Scholar 

  • Shaw, R.H., Paw U,K. T., Zhang, X. J., Gao,W., denHartog, G., and Neumann, H. H.: 1990, 'Retrieval of Turbulent Pressure Fluctuations at the Ground Surface Beneath a Forest', Boundary-Layer Meteorol. 50, 319–338.

    Google Scholar 

  • Shaw, R. H. and Schumann, U.: 1992, 'Large-Eddy Simulation of Turbulent Flow Above andWithin a Forest', Boundary-Layer Meteorol. 61, 47–64.

    Google Scholar 

  • Shaw, R. H. and Seginer, I.: 1985, 'The Dissipation of Turbulence in Plant Canopies', in 7th Symp. of the Amer. Meteorol. Soc. on Turbulence and Diffusion, Boulder, Colorado, pp. 200–203.

  • Shaw, R. H. and Zhang, X. J.: 1992, 'Evidence of Pressure-Forced Flow in a Forest',Boundary-Layer Meteorol. 58, 47–64.

    Google Scholar 

  • Sigmon, J. T., Knoerr, K. R., and Shaughnessy, E. J.: 1983, 'Microscale Pressure Fluctuations in a Mature Deciduous Forest', Boundary-Layer Meteorol. 27, 345–358.

    Google Scholar 

  • Wilson, J. D.: 1988, 'A Second-Order Closure Model for Flow Through Vegetation',Boundary-Layer Meteorol. 42, 371–392.

    Google Scholar 

  • Wilson, N. R. and Shaw, R. H.: 1977, 'A Higher Order Closure Model for Canopy Flow', J. Appl. Meteorol. 16, 1197-1205.

  • Zhuang,Y. and Amiro,B.D.: 1994, 'Pressure Fluctuations DuringCoherent Motions and Their Effects on the Budgets of Turbulent Kinetic Energy and Momentum Flux Within a Forest Canopy', J. Appl. Meteorol. 33, 704–711.

    Google Scholar 

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Dwyer, M.J., Patton, E.G. & Shaw, R.H. Turbulent kinetic energy budgets from a large-eddy simulation of airflow above and within a forest canopy. Boundary-Layer Meteorology 84, 23–43 (1997). https://doi.org/10.1023/A:1000301303543

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