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Stability influences on interscale transport of turbulent kinetic energy and Reynolds shear stress in atmospheric boundary layers interacting with a tall vegetation canopy

Published online by Cambridge University Press:  29 June 2021

Laurent Perret Open the ORCID record for Laurent Perret [Opens in a new window]  and
Edward G. Patton
Laurent Perret*
Affiliation:
LHEEA, UMR CNRS 6598, Centrale de Nantes, 44230Nantes, France Institut de Recherche en Sciences et Techniques de la Ville (IRSTV), FR CNRS2488Nantes, France
Edward G. Patton
Affiliation:
National Center for Atmospheric Research, Boulder, CO80305, USA
*
†Email address for correspondence: laurent.perret@ec-nantes.fr
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Abstract

High-resolution data from the large-eddy simulation of the atmospheric boundary layer (ABL) over a vegetation canopy are used to investigate the interaction between the most energetic large-scale structures from the ABL and the smaller scales from the near-canopy region. First, evidence of amplitude modulation (AM) involving the three velocity components is demonstrated. A multi-scale analysis of the transport equation of both the turbulent kinetic energy (TKE) and Reynolds shear stress (RSS) is then performed using a multi-level filtering procedure. It is found that, on average, in the investigated region, large scales are a source of TKE for the small scales (e.g. forward scatter of TKE) through nonlinear interscale transfer ($T_r^L$) with a maximum at canopy top while they are a sink via turbulent transport ($T_t^L$). Close to the canopy, the small-scale RSS transport behaves the same while, above the roughness sublayer, $T_r^L$ and $T_t^L$ switch roles showing the existence of RSS backscatter. The standard deviation of the transfer terms shows that there are intense instantaneous forward and backscatter of both TKE and RSS via all the transfer terms. It is therefore demonstrated that there is a two-way coupling between the ABL and the near-canopy scales, the well-known top-down mechanism through TKE transfer being complemented by a bottom-up feedback through RSS transfer. This analysis is extended to several stability regimes, confirming the above conclusions and showing the increasing role of the large-scale wall-normal component in AM and TKE or RSS transfers when the flow becomes buoyancy driven.

JFM classification

Geophysical and Geological Flows: Atmospheric flows Turbulent Flows: Turbulent boundary layers Turbulent Flows: Turbulent convection
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 921 , 25 August 2021 , A14
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

REFERENCES

Adrian, R.J. 2007 Hairpin vortex organization in wall turbulence. Phys. Fluids 19, 1–16.CrossRefGoogle Scholar
del Alamo, J.C. & Jimenez, J. 2003 Spectra of the very large anisotropic scales in turbulent channels. Phys. Fluids 15, 41–44.CrossRefGoogle Scholar
Anderson, W. 2016 Amplitude modulation of streamwise velocity fluctuations in the roughness sublayer: evidence from large-eddy simulations. J. Fluid Mech. 789, 567–588.CrossRefGoogle Scholar
Atkinson, B.W. & Wu Zhang, J. 1996 Mesoscale shallow convection in the atmosphere. Rev. Geophys. 34 (4), 403–431.CrossRefGoogle Scholar
Bailey, B.N. & Stoll, R. 2016 The creation and evolution of coherent structures in plant canopy flows and their role in turbulent transport. J. Fluid Mech. 789, 425–460.CrossRefGoogle Scholar
Bandyopadhyay, P.R. & Hussain, A.K.M.F. 1984 The coupling between scales in shear flows. Phys. Fluids 27, 2221–2228.CrossRefGoogle Scholar
Basley, J., Perret, L. & Mathis, R. 2018 Spatial modulations of kinetic energy in the roughness sublayer. J. Fluid Mech. 850, 584–610.CrossRefGoogle Scholar
Beets, C. & Koren, B. 1996 Large-eddy simulation with accurate implicit subgrid-scale diffusion. Tech. Rep. NM-R9601. Centrum voor Wiskunde en Informatica.Google Scholar
Bernardini, M. & Pirozzoli, S. 2011 Inner/outer layer interactions in turbulent boundary layers: a refined measure for the large-scale amplitude modulation mechanism. Phys. Fluids 23 (6), 061701.CrossRefGoogle Scholar
Blackman, K. & Perret, L. 2016 Non-linear interactions in a boundary layer developing over an array of cubes using stochastic estimation. Phys. Fluids 28, 095108.CrossRefGoogle Scholar
Blackman, K., Perret, L. & Calmet, I. 2018 Energy transfer and non-linear interactions in an urban boundary layer using stochastic estimation. J. Turbul. 19, 849–867.CrossRefGoogle Scholar
Blackman, K., Perret, L. & Mathis, R. 2019 Assessment of inner–outer interactions in the urban boundary layer using a predictive model. J. Fluid Mech. 875, 44–70.CrossRefGoogle Scholar
Blackman, K., Perret, L. & Savory, E. 2017 Effects of upstream-flow regime and canyon aspect ratio on non-linear interactions between a street-canyon flow and the overlying boundary layer. Boundary-Layer Meteorol. 169, 537–558.CrossRefGoogle Scholar
Brasseur, J.G. & Wei, C. 1994 Interscale dynamics and local isotropy in high Reynolds number turbulence within triadic interactions. Phys. Fluids 6 (2), 842–870.CrossRefGoogle Scholar
Brunet, Y., Finnigan, J.J. & Raupach, M.R. 1994 A wind tunnel study of air flow in waving wheat: single-point velocity statistics. Boundary-Layer Meteorol. 70 (1), 95–132.CrossRefGoogle Scholar
Brunet, Y. & Irvine, M.R. 2000 The control of coherent eddies in vegetation canopies: streamwise structure spacing, canopy shear scale and atmospheric stability. Boundary-Layer Meteorol. 94, 139–163.CrossRefGoogle Scholar
Chen, F., et al. 2007 Description and evaluation of the characteristics of the ncar high-resolution land data assimilation system. J. Appl. Meteorol. Climatol. 46 (6), 694–713.CrossRefGoogle Scholar
Chian, A.C.-L., Miranda, R.A., Koga, D., Bolzan, M.J.A., Ramos, F.M. & Rempel, E.L. 2008 Analysis of phase coherence in fully developed atmospheric turbulence: Amazon forest canopy. Nonlinear Process. Geophys. 15, 567–573.CrossRefGoogle Scholar
Chung, D. & McKeon, B.J. 2010 Large-eddy simulation of large-scale structures in long channel flow. J. Fluid Mech. 661, 341–364.CrossRefGoogle Scholar
Collineau, S. & Brunet, Y. 1993 Detection of turbulent coherent motions in a forest canopy part II: time-scales and conditional averages. Boundary-Layer Meteorol. 66, 49–73.CrossRefGoogle Scholar
Cui, G. & Jacobi, I. 2021 Biphase as a diagnostic for scale interactions in wall-bounded turbulence. Phys. Rev. Fluids 6, 014604.CrossRefGoogle Scholar
Deardorff, J.W. 1972 Numerical investigation of neutral and unstable planetary boundary layers. J. Atmos. Sci. 29, 91–115.2.0.CO;2>CrossRefGoogle Scholar
Deardorff, J.W. 1980 Stratocumulus-capped mixed layers derived from a three-dimensional. Boundary-Layer Meteorol. 18, 429–527.CrossRefGoogle Scholar
Drobinski, P., Carlotti, P., Newsom, R.K., Banta, R.M., Foster, R.C. & Redelsperger, J.L. 2004 The structure of the near-neutral atmospheric surface layer. J. Atmos. Sci. 61, 699–714.2.0.CO;2>CrossRefGoogle Scholar
Dupont, S. & Brunet, Y. 2009 Turbulence structure above a vegetation canopy. J. Fluid Mech. 630, 93–128.CrossRefGoogle Scholar
Dupont, S. & Patton, E.G. 2012 Influence of stability and seasonal canopy changes on micrometeorology within and above an orchard canopy: the CHATS experiment. Agric. For. Meteorol. 157, 11–29.CrossRefGoogle Scholar
Dwyer, M.J., Patton, E.G. & Shaw, R.H. 1997 Turbulent kinetic energy budgets from a large-eddy simulation of airflow above and within a forest canopy. Boundary-Layer Meteorol. 84 (1), 23–43.CrossRefGoogle Scholar
Fang, J. & Porté-Agel, F. 2015 Large-eddy simulation of very-large-scale motions in the neutrally stratified atmospheric boundary layer. Boundary-Layer Meteorol. 155, 397–416.CrossRefGoogle Scholar
Finnigan, J.J. 2000 Turbulence in plant canopies. Annu. Rev. Fluid Mech. 32, 519–571.CrossRefGoogle Scholar
Finnigan, J.J. & Brunet, Y. 1995 Turbulent airflow in forests on flat and hilly terrain. In Wind and Trees, pp. 3–40. Cambridge University Press.CrossRefGoogle Scholar
Finnigan, J.J. & Shaw, R.H. 2000 A wind-tunnel study of airflow in waving wheat: an eof analysis of the structure of the large-eddy motion. Boundary-Layer Meteorol. 96, 211–255.CrossRefGoogle Scholar
Finnigan, J.J., Shaw, R.H. & Patton, E.G. 2009 Turbulence structure above a vegetation canopy. J. Fluid Mech. 637, 387–424.CrossRefGoogle Scholar
Fisher, R.A. 1925 Applications of students distribution. Metron 5, 90–104.Google Scholar
Fitzmaurice, L., Shaw, R.H., Paw U, K.T. & Patton, E.G. 2004 Three-dimensional scalar microfront systems in a large-eddy simulation of vegetation canopy flow. Boundary-Layer Meteorol. 112, 107–127.CrossRefGoogle Scholar
Gao, W., Shaw, R.H. & Paw, U.K.T. 1989 Observation of organized turbulent structure in turbulent flow within and above a forest canopy. Boundary-Layer Meteorol. 47, 349–377.CrossRefGoogle Scholar
Ghisalberti, M. & Nepf, H.M. 2002 Mixing layers and coherent structures in vegetated aquatic flows. J. Geophys. Res. 107, 3–11.Google Scholar
Guala, M., Metzger, M. & McKeon, B.J. 2011 Interactions within the turbulent boundary layer at high Reynolds number. J. Fluid Mech. 666, 573–604.CrossRefGoogle Scholar
Harun, Z., Monty, J.P., Mathis, R. & Marusic, I. 2013 Pressure gradient effects on the large-scale structure of turbulent boundary layers. J. Fluid Mech. 715, 477–498.CrossRefGoogle Scholar
Horiguchi, M., Hayashi, T., Hashiguchi, H., Adachi, A. & Onogi, S. 2012 Large-scale turbulence structures and their contributions to the momentum flux and turbulence in the near-neutral atmospheric boundary layer observed from a 213-m tall meteorological tower. Boundary-Layer Meteorol. 144, 179–198.CrossRefGoogle Scholar
Horiguchi, M., Hayashi, T., Hashiguchi, H., Ito, Y. & Ueda, H. 2010 Observations of coherent turbulence structures in the near-neutral atmospheric boundary layer. Boundary-Layer Meteorol. 136, 25–44.CrossRefGoogle Scholar
Hutchins, N., Chauhan, K., Marusic, I., Monty, J. & Klewicki, J. 2012 Towards reconciling the large-scale structure of turbulent boundary layers in the atmosphere and laboratory. Boundary-Layer Meteorol. 145, 273–306.CrossRefGoogle Scholar
Hutchins, N. & Marusic, I. 2007 Evidence of very long meandering features in the logarithmic region of turbulent boundary layers. J. Fluid Mech. 579, 1–28.CrossRefGoogle Scholar
Hutchins, N. & Marusic, I. 2010 Large-scale influences in near-wall turbulence. Phil. Trans. R. Soc. A 365 (1852), 647–664.CrossRefGoogle Scholar
Hutchins, N., Monty, J.P., Ganapathisubramani, B., Ng, H.C.H. & Marusic, I. 2011 Three dimensional conditional structure of a high-Reynolds-number turbulent boundary layer. J. Fluid Mech. 673, 255–285.CrossRefGoogle Scholar
Hwang, Y. & Cossu, C. 2010 Self-sustained process at large scales in turbulent channel flow. Phys. Rev. Lett. 105, 044505.CrossRefGoogle ScholarPubMed
Inagaki, A. & Kanda, M. 2010 Organized structure of active turbulence over an array of cubes within the logarithmic layer of atmospheric flow. Boundary-Layer Meteorol. 135, 209–228.CrossRefGoogle Scholar
Jacobi, I. & McKeon, B.J. 2013 Phase relationships between large and small scales in the turbulent boundary layer. Exp. Fluids 54, 1481.CrossRefGoogle Scholar
Jimenez, J. 2004 Turbulent flows over rough walls. Annu. Rev. Fluid Mech. 36, 173–196.CrossRefGoogle Scholar
Kamruzzaman, M., Djenidi, L., Antonia, R. & Talluru, K. 2015 Scale-by-scale energy budget in a turbulent boundary layer over a rough wall. Intl J. Heat Fluid Flow 55, 2–8. Special Issue devoted to the 10th Int. Symposium on Engineering Turbulence Modelling and Measurements (ETMM10) held in Marbella, Spain on September 17–19, 2014.CrossRefGoogle Scholar
Kawata, T. & Alfredsson, P.H. 2018 Inverse interscale transport of the Reynolds shear stress in plane Couette turbulence. Phys. Rev. Lett. 120, 244501.CrossRefGoogle ScholarPubMed
Khanna, S. & Brasseur, J.G. 1998 Three-dimensional buoyancy- and shear-induced local structure of the atmospheric boundary layer. J. Atmos. Sci. 55, 710–743.2.0.CO;2>CrossRefGoogle Scholar
Lee, M. & Moser, R.D. 2019 Spectral analysis of the budget equation in turbulent channel flows at high Reynolds number. J. Fluid Mech. 860, 886–938.CrossRefGoogle Scholar
Lemone, M.A. 1973 The structure and dynamics of horizontal roll vortices in the planetary boundary layer. J. Atmos. Sci. 30, 1077–1091.2.0.CO;2>CrossRefGoogle Scholar
Lemone, M.A. 1976 Modulation of turbulence energy by longitudinal rolls in an unstable planetary boundary layer. J. Atmos. Sci. 33, 1308–1320.2.0.CO;2>CrossRefGoogle Scholar
Lin, C.-L., McWilliams, J.C., Moeng, C.-H. & Sullivan, P.P. 1996 a Coherent structures and dynamics in a neutrally stratified planetary boundary layer flow. Phys. Fluids 8, 2626–2639.CrossRefGoogle Scholar
Lin, C.-L., Moeng, C.-H., Sullivan, P.P. & McWilliams, J.C. 1996 b The effect of surface roughness on flow structures in a neutrally stratified planetary boundary layer flow. Phys. Fluids 9, 3235–3249.CrossRefGoogle Scholar
Liu, H., Wang, G. & Zheng, X. 2019 Amplitude modulation between multi-scale turbulent motions in high-Reynolds-number atmospheric surface layers. J. Fluid Mech. 861, 585–607.CrossRefGoogle Scholar
Ludwig, F.L., Chow, F.K. & Street, R.L. 2009 Effect of turbulence models and spatial resolution on resolved velocity structure and momentum fluxes in large-eddy simulations of neutral boundary layer flow. J. Appl. Meteorol. Climatol. 48 (6), 1161–1180.CrossRefGoogle Scholar
Marusic, I. & Hutchins, N. 2008 Study of the log-layer structure in wall turbulence over a very large range of Reynolds number. Flow Turbul. Combust. 81, 115–130.CrossRefGoogle Scholar
Marusic, I., Mathis, R. & Hutchins, N. 2010 a Predictive model for wall-bounded turbulent flow. Science 329, 193–196.CrossRefGoogle ScholarPubMed
Marusic, I., McKeon, B.J., Monkewitz, P.A., Nagib, H.M., Smits, A.J. & Sreenivasan, K.R. 2010 b Wall-bounded turbulent flows at high Reynolds numbers: recent advances and key issues. Phys. Fluids 22 (6), 065103.CrossRefGoogle Scholar
Mathis, R., Hutchins, N. & Marusic, I. 2009 Large-scale amplitude modulation of the small-scale structures in turbulent boundary layers. J. Fluid Mech. 628, 311–337.CrossRefGoogle Scholar
Mathis, R., Hutchins, N. & Marusic, I. 2011 a A predictive inner-outer model for streamwise turbulence statistics in wall-bounded flows. J. Fluid Mech. 681, 537–566.CrossRefGoogle Scholar
Mathis, R., Hutchins, N., Marusic, I. & Sreenivasan, K.R. 2011 b The relationship between the velocity skewness and the amplitude modulation of the small scale by the large scale in turbulent boundary layers. Phys. Fluids 23, 121702.CrossRefGoogle Scholar
Mizuno, Y. 2016 Spectra of energy transport in turbulent channel flows for moderate Reynolds numbers. J. Fluid Mech. 805, 171–187.CrossRefGoogle Scholar
Moeng, C.-H. 1984 A large-eddy-simulation model for the study of planetary boundary-layer turbulence. J. Atmos. Sci. 41 (13), 2052–2062.2.0.CO;2>CrossRefGoogle Scholar
Moeng, C.-H. & Sullivan, P.P. 1994 A comparison of shear- and buoyancy-driven planetary boundary layer flows. J. Atmos. Sci. 51, 999–1022.2.0.CO;2>CrossRefGoogle Scholar
Moeng, C.-H. & Wyngaard, J.C. 1988 Spectral analysis of large-eddy simulations of the convective boundary layer. J. Atmos. Sci. 45 (23), 3573–3587.2.0.CO;2>CrossRefGoogle Scholar
Monty, J.P., Stewart, J.A., Williams, R.C. & Chong, M.S. 2007 Large-scale features in turbulent pipe and channel flows. J. Fluid Mech. 589, 147–156.CrossRefGoogle Scholar
Nadeem, M., Lee, J.H., Lee, J. & Sung, H.J. 2015 Turbulent boundary layers over sparsely-spaced rod-roughened walls. Intl J. Heat Fluid Flow 56, 16–27.CrossRefGoogle Scholar
Nobach, H. & Tropea, C. 2007 Fundamentals of Data Processing, pp. 1399–1417. Springer.CrossRefGoogle Scholar
Panton, R.L. 2001 Overview of the self-sustaining mechanisms of wall turbulence. Prog. Aerosp. Sci. 37, 341–383.CrossRefGoogle Scholar
Pathikonda, G. & Christensen, K.T. 2017 Inner–outer interactions in a turbulent boundary layer overlying complex roughness. Phys. Rev. Fluids 2, 044603.CrossRefGoogle Scholar
Patton, E.G. & Finnigan, J.J. 2013 Canopy turbulence. In Handbook of Environmental Fluid Dynamics, pp. 311–328. CRC Press.Google Scholar
Patton, E.G., et al. 2011 The canopy horizontal array turbulence study. Bull. Am. Meteorol. Soc. 92 (5), 593–611.CrossRefGoogle Scholar
Patton, E.G., Sullivan, P.P., Shaw, R.H., Finnigan, J.J. & Weil, J.C. 2016 Atmospheric stability influences on coupled boundary layer and canopy turbulence. J. Atmos. Sci. 73 (4), 1621–1647.CrossRefGoogle Scholar
Perret, L. & Ruiz, T. 2013 SPIV analysis of coherent structures in a vegetation canopy model flow. In Coherent Structures in Flows at the Earth's Surface. John Wiley and Sons, Ltd.CrossRefGoogle Scholar
Poggi, D., Porporato, A., Ridolfi, L., Albertson, J.D. & Katul, G.G. 2004 The effect of vegetation density on canopy sub-layer turbulence. Boundary-Layer Meteorol. 111, 565–587.CrossRefGoogle Scholar
Raupach, M.R., Finnigan, J.J. & Brunet, Y. 1996 Coherent eddies and turbulence in vegetation canopies: the mixing-layer analogy. Boundary-Layer Meteorol. 78, 351–382.CrossRefGoogle Scholar
Robinson, S.K. 1991 Coherent motions in the turbulent boundary layer. Annu. Rev. Fluid Mech. 23, 601–639.CrossRefGoogle Scholar
Sagaut, P., Deck, S. & Terracol, M. 2013 Multiscale and Multiresolution Approaches in Turbulence, 2nd edn, vol. 2. Imperial College Press.CrossRefGoogle Scholar
Salesky, S.T. & Anderson, W. 2018 Buoyancy effects on large-scale motions in convective atmospheric boundary layers: implications for modulation of near-wall processes. J. Fluid Mech. 856, 135–168.CrossRefGoogle Scholar
Salesky, S.T., Chamecki, M. & Bou-Zeid, E. 2017 On the nature of the transition between roll and cellular organization in the convective boundary layer. Boundary-Layer Meteorol. 163, 41–68.CrossRefGoogle Scholar
Schlatter, P. & Örlü, R. 2010 Quantifying the interaction between large and small scales in wall-bounded turbulent flows: a note of caution. Phys. Fluids 22 (5), 051704–051704–4.CrossRefGoogle Scholar
Schmidt, H. & Schumann, U. 1989 Coherent structure of the convective boundary layer derived from large-eddy simulations. J. Fluid Mech. 200, 511–562.CrossRefGoogle Scholar
Shah, S. & Bou-Zeid, E. 2014 Very-large-scale motions in the atmospheric boundary layer educed by snapshot proper orthogonal decomposition. Boundary-Layer Meteorol. 153, 355–387.CrossRefGoogle Scholar
Shaw, R.H., Brunet, Y., Finnigan, J.J. & Raupach, M.R. 1995 A wind tunnel study of air flow in waving wheat: two-point velocity statistics. Boundary-Layer Meteorol. 76, 349–376.CrossRefGoogle Scholar
Shaw, R.H. & Patton, E.G. 2003 Canopy element influences on resolved- and subgrid-scale energy within a large-eddy simulation. Agric. For. Meteorol. 115 (1), 5–17. A tribute to George W. Thurtell's contributions in micrometeorology.CrossRefGoogle Scholar
Shaw, R.H. & Schumann, U. 1992 Large-eddy simulation of turbulent flow above and within a forest. Boundary-Layer Meteorol. 61 (1), 47–64.CrossRefGoogle Scholar
Smits, A.J., McKeon, B.J. & Marusic, I. 2011 High-Reynolds number wall turbulence. Annu. Rev. Fluid Mech. 43 (1), 353–375.CrossRefGoogle Scholar
Squire, D.T., Morill-Winter, C., Hutchins, N., Schultz, M.P., Klewicki, J.C. & Marusic, I. 2016 Comparison of turbulent boundary layers over smooth and rough surfaces up to high Reynolds numbers. J. Fluid Mech. 795, 210–240.CrossRefGoogle Scholar
Su, H.-B., Shaw, R.H., Paw U, K.T., Moeng, C.-H. & Sullivan, P.P. 1998 Turbulent statistics of neutrally stratified flow within and above a sparse forest from large-eddy simulation and field observation. Boundary-Layer Meteorol. 88, 363–397.CrossRefGoogle Scholar
Sullivan, P.P., Moeng, C.-H., Stevens, B., Lenschow, D.H. & Mayor, S.D. 1998 Structure of the entrainment zone capping the convective atmospheric boundary layer. J. Atmos. Sci. 55 (19), 3042–3064.2.0.CO;2>CrossRefGoogle Scholar
Sullivan, P.P. & Patton, E.G. 2011 The effect of Mesh resolution on convective boundary layer statistics and structures generated by large-eddy simulation. J. Atmos. Sci. 68 (10), 2395–2415.CrossRefGoogle Scholar
Sykes, R.I. & Henn, D.S. 1989 Large-eddy simulation of turbulent sheared convection. J. Atmos. Sci. 46, 1106–1118.2.0.CO;2>CrossRefGoogle Scholar
Takimoto, H., Sato, A., Barlow, J.F., Moriwaki, R., Inagaki, A. & Kanda, S.O.M. 2011 Particle image velocimetry measurements of turbulent flow within outdoor and indoor urban scale models and flushing motions in urban canopy layers. Boundary-Layer Meteorol. 140, 295–314.CrossRefGoogle Scholar
Talluru, K.M., Baidya, R., Hutchins, H. & Marusic, I. 2014 Amplitude modulation of all three velocity components in turbulent boundary layers. J. Fluid Mech. 746, R1.CrossRefGoogle Scholar
Thom, A.S. 1968 The exchange of momentum, mass, and heat between an artificial leaf and the airflow in a wind-tunnel. Q. J. R. Meteorol. Soc. 94 (399), 44–55.CrossRefGoogle Scholar
Thomas, C., Mayer, J.-C., Meixner, F.X. & Foken, T. 2006 Analysis of low-frequency turbulence above tall vegetation using a doppler sodar. Boundary-Layer Meteorol. 119, 563–587.CrossRefGoogle Scholar
Watanabe, T. 2004 Large-eddy simulation of coherent turbulence structures associated with scalar ramps over plant canopies. Boundary-Layer Meteorol. 112, 307–341.CrossRefGoogle Scholar
Watanabe, T. 2009 LES study on the structure of coherent eddies inducing predominant perturbations in velocities in the roughness sublayer over plant canopies. J. Meteorol. Soc. Japan 87, 39–56.CrossRefGoogle Scholar
Weckwerth, T.M., Horst, T.W. & Wilson, J.W. 1999 An observational study of the evolution of horizontal convective rolls. Mon. Weath. Rev. 127, 2160–2179.2.0.CO;2>CrossRefGoogle Scholar
Wurps, H., Steinfeld, G. & Heinz, S. 2020 Grid-resolution requirements for large-eddy simulations of the atmospheric boundary layer. Boundary-Layer Meteorol. 175, 179–201.CrossRefGoogle Scholar
Yeung, P.K., Brasseur, J.G. & Wang, Q. 1995 Dynamics of direct large-small scale couplings in coherently forced turbulence: concurrent physical- and fourier-space views. J. Fluid Mech. 283, 43–95.CrossRefGoogle Scholar
Young, G.S., Kristovich, D.A.R., Hjelmfelt, M.R. & Foster, R.C. 2002 Rolls, streets, waves, and more. A review of quasi-two-dimensional structures in the atmospheric boundary layer. Bull. Am. Meteorol. Soc. 83 (7), 997–1001.Google Scholar
Zeeman, M.J., Eugster, W., Christoph, K. & Thomas, C.K. 2013 Concurrency of coherent structures and conditionally sampled daytime sub-canopy respiration. Boundary-Layer Meteorol. 146, 1–15.CrossRefGoogle Scholar