Abstract
Using the tools of large-eddy simulation (LES), rapid distortion theory andEulerian kinematic simulation, two-point properties of turbulenceare studied. It is shown how the boundary conditions in thepresent LES model are fully consistent with the new top-down understanding ofatmospheric turbulence close to the ground, wherethe turbulence is analysed in terms of turbulent eddies impinging ontothe ground, being distorted by the shear and the blocking by the wall,and experiencing the creation of an internal boundary layer within aneddy surface layer (ESL) with a height of a dozen metres.The question of very large streamwise structures is addressed, and itis shown that the k-1 range measured in spectra for the streamwisevelocity in the ESL in several recent field experiments can be found in LES, and corresponds to streaky structures. However, thesestreaky structures are different from the low Reynolds number streaks,which induce a k-2 range in the spectrum. Finally, two-point verticalcorrelations are studied. In particular, effects of shear and of the slope of thespectrum are analysed.
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References
Adrian, R. J., Meinhart, C. D., and Tomkins, C. D.: 2000, 'Vortex Organisation in the Outer Region of the Turbulent Boundary Layer', J. Fluid Mech. 422, 1–54.
Batchelor, G. K.: 1953, The Theory of Homogenous Turbulence, Cambridge University Press, 197 pp.
Carlotti, P.: 2001, Distorted Turbulence Near Rigid Boundaries, Ph.D. Thesis, University of Cambridge.
Cuxart, J., Bougeault, Ph., and Redelsperger, J. L.: 2000, 'A Multiscale Turbulence Scheme Apt for LES and Mesoscale Modelling', Quart. J. Roy. Meteorol. Soc. 126, 1–30.
Foster, R. C. and Drobinski, P.: 2000, 'Near Surface Streaks: Comparison of LES with Theory', in 14th Symposium on Boundary Layer and Turbulence, Aspen, Colorado, August 2000, American Meteorological Society, pp. 499-502.
Fuehrer, P. L. and Friehe, C. A.: 1999, 'A Physically-Based Turbulent Velocity Time Series Decomposition', Boundary-Layer Meteorol. 90, 241–295.
Grant, H. L.: 1958, 'The Large Eddies of Turbulent Motion', J. Fluid Mech. 4, 149–190.
Högström, U., Hunt, J. C. R., and Smedman, A. S.: 2002, 'Theory and Measurements for Two Point Turbulence Statistics in the High Reynolds Number Neutral Surface Layer', Boundary-Layer Meteorol. 103, 101–124.
Hunt, J. C. R.: 1984, 'Turbulence Structure in Thermal Convection and Shear-Free Boundary Layers', J. Fluid Mech. 138, 161–184.
Hunt, J. C. R. and Carlotti, P.: 2001, 'Statistical Structure of the High Reynolds Number Turbulent Boundary Layer', Flow, Turbulence Combust. 66, 453–475.
Hunt, J. C. R. and Graham, J.M. R.: 1978, Free-Stream Turbulence Near Plane Boundaries', J. Fluid Mech. 84, 209–235.
Hunt, J. C. R. and Morrison, J. F.: 2000, 'Eddy Structure in Turbulent Boundary Layers', Eur. J. Mech. B19, 673–694.
Hunt, J. C. R., Moin, P., Lee, M., Moser, R. D., Spalart, P., Mansour, N. N., Kaimal, J. C., and Gaynor, E.: 1989, 'Cross Correlation and Length Scales in Turbulent Flows Near Surfaces', in H. H. Fernholz and H. E. Fiedler (eds.), Advances in Turbulence, Volume 2, Springer-Verlag, Berlin, pp. 128–134.
Kim, K. C. and Adrian, R. J.: 1999, 'Very Large-Scale Motion in the Outer Layer', Phys. Fluids 11, 417–422.
Lee, M. J. and Hunt, J. C. R.: 1989, 'The Structure of Sheared Turbulence Near a Plane Boundary', in 7th Symposium on Turbulent Shear Flows, Stanford, pp. 8.1.pp1-8.1.6.
Mann, J.: 1994, 'The Spatial Structure of Neutral Atmospheric Surface Layer Turbulence', J. Fluid Mech. 273, 141–168.
Mason, P. A.: 1994, 'Large Eddy Simulation: A Critical Review of the Technique', Quart. J. Roy. Meteorol. Soc. 120, 1–26.
Maxey, M. R.: 1982, 'Distortion of Turbulence in Flows with Parallel Streamlines', J. Fluid Mech. 124, 261–282.
Moffatt, H. K.: 1967, 'Interaction of Turbulence with Strong Wind Shear', in A. M. Yaglom and V. I. Tatarski (eds.), Proceedings of the URSI-IUGG International Colloquium on Atmospheric Turbulence and Radio Wave Propagation, Nauka, Moscow, pp. 139–154.
Perry, A. E., Henbest, S., and Chong, M. S.: 1986, 'A Theoretical and Experimental Study of Wall Turbulence', J. Fluid Mech. 165, 163–179.
Porté-Agel, F., Meneveau, Ch., and Parlange, M. B.: 2000, 'A Scale-Dependent Dynamic Model for Large-Eddy Simulation: Application to a Neutral Atmospheric Boundary Layer', J. Fluid Mech. 415, 261–284.
Redelsperger, J. L., Mahé, F., and Carlotti, P.: 2001, 'A Simple and General Approach Enabling Subgrid Models to be Suitable Both for Surface Layer and Free Stream Turbulence', Boundary-Layer Meteorol. 101, 375–408.
Richards, P. J., Fong, S., and Hoxey, R. P.: 1997, 'Anisotropic Turbulence in the Atmospheric Surface Layer', J. Wind Eng. Indust. Aerodyn. 69-71, 903–913.
Schmidt, H. and Schumman, U.: 1989, 'Coherent Structures of the Convective Boundary Layer Derived from Large Eddy Simulation', J. Fluid Mech. 200, 511–562.
Townsend, A. A.: 1976, The Structure of Turbulent Shear Flow, Cambridge University Press, 429 pp.
Turfus, C. and Hunt, J. C. R.: 1987, 'A Stochastic Analysis of the Displacements of Fluid Elements in Inhomogeneous Turbulence Using Kraichnan's Method of Random Modes', in G. Comte-Bellot and J. Mathieu (eds.), Advances in Turbulence, Springer Verlag, pp. 191–203.
Yaglom, A. M.: 1991, 'Similarity Laws for Wall Turbulence Flows', in T. Dracos and A. Tsinober (eds.), New Approaches and Concept in Turbulence, Monte Verità, Birkhäuser, pp. 7–27.
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Carlotti, P. Two-Point Properties Of Atmospheric Turbulence Very Close To The Ground: Comparison Of A High Resolution Les With Theoretical Models. Boundary-Layer Meteorology 104, 381–410 (2002). https://doi.org/10.1023/A:1016544705265
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DOI: https://doi.org/10.1023/A:1016544705265