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Near-Surface Vertical Flux Divergence in the Stable Boundary Layer

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Abstract

Flow in the stable boundary layer is examined at four contrasting sites with greater upwind surface roughness. The surface heterogeneity is disorganized and in some cases weak as commonly occurs. With low wind speeds, the vertical divergence (or convergence) of the momentum and heat fluxes can be large near the surface in what is normally assumed to be the surface layer where such divergence is neglected. For the two most heterogeneous sites, a shallow “new” boundary layer is captured by the tower observations, analogous to an internal boundary layer but more complex. Above the new boundary layer, the magnitudes of the downward fluxes of heat and momentum increase with height in a transition layer, reach a maximum, and then decrease with height in an overlying regional boundary layer. Similar structure is observed at the site with rolling terrain where the shallow new boundary layer at the surface is identified as cold-air drainage generated by the local slope above which the flow undergoes transition to an overlying regional flow. Significant flux divergence near the surface is generated even over an ice floe for low wind speeds and in a shallow Ekman layer that forms during the polar night. For higher wind speeds, the magnitude of the downward fluxes decreases gradually with height at all levels as in a traditional boundary layer.

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References

  • Acevedo O, Mahrt L (2010) Systematic vertical variation of mesoscale fluxes in the stable boundary layer. Boundary-Layer Meteorol 135:19–30

    Article  Google Scholar 

  • Acevedo O, Moraes O, Degrazia G, Fitzjarrald D, Manzi A, Campos J (2009) Is friction velocity the most appropriate scale for correcting nocturnal carbon dioxide fluxes? Agric For Meteorol 149:1–10

    Article  Google Scholar 

  • Acevedo O, Mahrt L, Puhales FS, Costa FD, Medeiros LE, Degrazia GA (2015) Contrasting structures between the decoupled and coupled states of the stable boundary layer. Q J R Meteorol Soc 142:693–702

    Article  Google Scholar 

  • Balsley B, Frehlich RG, Jensen ML, Meillier Y (2006) High-resolution in situ profiling through the stable boundary layer: examination of the SBL top in terms of minimum shear, maximum stratification, and turbulence decrease. J Atmos Sci 63:1291–1307

    Article  Google Scholar 

  • Banta RM, Pichugina YL, Brewer W (2006) Turbulent velocity-variance profiles in the stable boundary layer generated by a nocturnal low-level jet. J Atmos Sci 63:2700–2719

    Article  Google Scholar 

  • Basu S, Porté-Agel F, Foufoula-Georgiou E, Vinuesa JF, Pahlow M (2006) Revisiting the local scaling hypothesis in stably stratified atmospheric boundary-layer turbulence: an integration of field and laboratory measurements with large-eddy simulations. Boundary-Layer Meteorol 119:473–500

    Article  Google Scholar 

  • Bou-Zeid E, Parlange M, Meneveau C (2007) On the parameterization of surface roughness at regional scales. J Atmos Sci 64:216–227

    Article  Google Scholar 

  • Cardon SJ (2007) Obtaining eddy fluxes for a non-homogeneous environment using wavelet cospectra. Master’s thesis, University of Wyoming

  • Conangla L, Cuxart J (2006) On the turbulence in the upper part of the low-level jet: an experimental and numerical study. Boundary-Layer Meteorol 118:379–400

    Article  Google Scholar 

  • Dellwik E, Jensen NO (2000) Internal equilibrium layer growth over forest. Theor Appl Climatol 66:173–184

    Article  Google Scholar 

  • Dellwik E, Bingöl F, Mann J (2013) Flow distortion at a dense forest edge. Q J R Meteorol Soc 140:676–686

    Article  Google Scholar 

  • Garratt JR (1990) The internal boundary layer: a review. Boundary-Layer Meteorol 50:171–203

    Article  Google Scholar 

  • Garratt JR (1994) The atmospheric boundary layer. Cambridge University Press, Cambridge, UK

    Google Scholar 

  • Glendening JC, Lin CL (2002) Large eddy simulation of internal boundary layers created by changes in surface roughness. J Atmos Sci 59:1697–1711

    Article  Google Scholar 

  • Grachev A, Fairall C, Persson P, Andreas E, Guest P (2005) Stable boundary-layer scaling regimes: the SHEBA data. Boundary-Layer Meteorol 116:201–235

    Article  Google Scholar 

  • Grachev A, Andreas E, Fairall C, Guest P, Persson P (2013) The critical Richardson number and limits of applicability of local similarity theory in the stable boundary layer. Boundary-Layer Meteorol 147:51–82

    Article  Google Scholar 

  • Grachev A, Leo LS, Fernando HJS, Fairall CW, Creegan E, Blomquist B, Christman A, Hocut C (2018) Air–sea/land interaction in the coastal zone. Boundary-Layer Meteorol 167:181–210

    Google Scholar 

  • Grisogono B, Oerlemans J (2001) Katabatic flow: analytical solution for slowly varying eddy diffusivities. J Atmos Sci 58:3349–3354

    Article  Google Scholar 

  • Horst TW, Oncley SP (2006) Corrections to inertial-rage power spectra measured by CSAT3 and Solent sonic anemometers, 1. Path-averaging errors. Boundary-Layer Meteorol 119:375–395

    Article  Google Scholar 

  • Horst TW, Semmer SR, Maclean G (2015) Correction of a non-orthogonal, three-component sonic anemometer for flow distortion by transducer shadowing. Boundary-Layer Meteorol 155:371–395

    Article  Google Scholar 

  • Irvine M, Gardiner B, Hill M (1997) The evolution of turbulence across a forest edge. Boundary-Layer Meteorol 84:467–496

    Article  Google Scholar 

  • Kallistratova MA, Kouznetsov RD (2012) Low-level jets in the Moscow region in summer and winter observed with a sodar network. Boundary-Layer Meteorol 143:159–175

    Article  Google Scholar 

  • Liu H (2001) New equations for sonic temperature variance and buoyancy heat flux with an omindirectional sonic anemometer. Boundary-Layer Meteorol 100:459–468

    Article  Google Scholar 

  • Mahrt L (2017) Lee mixing and nocturnal structure over gentle terrain. J Atmos Sci 74:1989–1999

    Article  Google Scholar 

  • Mahrt L, Thomas CK (2016) Surface stress with non-stationary weak winds and stable stratification. Boundary-Layer Meteorol 159:3–21

    Article  Google Scholar 

  • Mahrt L, Vickers D (2002) Contrasting vertical structures of nocturnal boundary layers. Boundary-Layer Meteorol 105:351–363

    Article  Google Scholar 

  • Mahrt L, Vickers D (2005) Boundary-layer adjustment over small-scale changes of surface heat flux. Boundary-Layer Meteorol 116:313–330

    Article  Google Scholar 

  • Mahrt L, Vickers D (2006) Extremely weak mixing in stable conditions. Boundary-Layer Meteorol 119:19–39

    Article  Google Scholar 

  • Mahrt L, Sun J, Oncley SP, Horst TW (2014) Transient cold air drainage down a shallow valley. J Atmos Sci 71:2534–2544

    Article  Google Scholar 

  • Moore CJ (1986) Frequency response corrections for eddy correlation methods. Boundary-Layer Meteorol 37:17–35

    Article  Google Scholar 

  • Morse AP, Gardiner BA, Marshall BJ (2002) Mechanisms controlling turbulence development across a forrest edge. Boundary-Layer Meteorol 103:227–251

    Article  Google Scholar 

  • Mortarini L, Cava D, Giostra U, Acevedo O, Nogueira Martins LG, Soares de Oliveira PE, Anfossi D (2017) Observations of submeso motions and intermittent turbulent mixing across a low level jet with a 132-m tower. Q J R Meteorol Soc 144:172–183

    Article  Google Scholar 

  • Nadeau DF, Pardyjak ER, Higgins CW, Huvald H, Parlange MB (2013) Flow during the evening transition over steep alpine slopes. Q J R Meteorol Soc 139:607–624

    Article  Google Scholar 

  • Nappo C (1991) Sporadic breakdown of stability in the PBL over simple and complex terrain. Boundary-Layer Meteorol 54:69–87

    Article  Google Scholar 

  • Pahlow M, Parlange M, Porté-Agel F (2001) Richardson number statistics in the seasonal thermocline. Boundary-Layer Meteorol 99:225–248

    Article  Google Scholar 

  • Persson P, Vihma T (2017) The atmosphere over sea ice. In: Thomas DN (ed) Sea Ice. Wiley, London, pp 160–196 chap 6

    Google Scholar 

  • Persson P, Fairall CW, Andreas EL, Guest PS, Perovich DK (2002) Measurements near the atmospheric surface flux group tower at SHEBA: near-surface conditions and surface energy budget. J Geophys Res. https://doi.org/10.1029/2000JC000705

    Article  Google Scholar 

  • Persson POG, Shupe M, Perovich D, Solomon A (2017) Linking atmospheric synoptic transport, cloud phase, surface energy fluxes, and sea-ice growth: observations of midwinter sheba conditions. Clim Dyn 49:1341–1364

    Article  Google Scholar 

  • Pöette C, Gardiner B, Dupont S, Harman I, Böhm M, Finnigan J, Hughes D, Brunet Y (2017) The impact of landscape fragmentation of atmospheric flow: a wind-tunnel study. Boundary-Layer Meteorol 163:393–421

    Article  Google Scholar 

  • Poulos G, Burns S (2003) An evaluation of bulk Ri-based surface layer flux formulations for stable and very stable conditions with intermittent turbulence. J Atmos Sci 60:2523–2537

    Article  Google Scholar 

  • Schmid H, Bünzli D (1995) The influence of surface texture on the effective roughness length. Q J R Meteorol Soc 121A:1–21

    Article  Google Scholar 

  • Skyllingstad ED, Samelson RM, Mahrt L, Barbour P (2005) A numerical modeling study of warm offshore flow over cool water. Mon Wea Rev 133:345–361

    Article  Google Scholar 

  • Smedman AS (1988) Observations of a multi-level turbulence structure in a very stable atmospheric boundary layer. Boundary-Layer Meteorol 44:231–253

    Article  Google Scholar 

  • Stiperski I, Rotach MW (2016) On the measurement of turbulence over complex mountainous terrain. Boundary-Layer Meteorol 159:97–121

    Article  Google Scholar 

  • Sun J, Mahrt L, Banta RM, Pichugina YL (2012) Turbulence regimes and turbulence intermittency in the stable boundary layer during CASES-99. J Atmos Sci 69:338–351

    Article  Google Scholar 

  • Sun J, Lenschow D, Mahrt L, Nappo C (2013) The relationships among wind, horizontal pressure gradient and turbulent momentum transport during CASES99. J Atmos Sci 70:3397–3414

    Article  Google Scholar 

  • Thomas CK, Kennedy A, Selker J, Moretti A, Schroth M, Smoot A, Tufillaro N (2012) High-resolution fibre-optic temperature sensing: a new tool to study the two-dimensional structure of atmospheric surface-layer flow. Boundary-Layer Meteorol 142:177–192

    Article  Google Scholar 

  • Van de Wiel BJH, Moene AF, Steeneveld GJ, Baas P, Bosveld FC, Holtslag AAM (2010) A conceptual view on inertial oscillations and nocturnal low-level jets. J Atmos Sci 67:2679–2689

    Article  Google Scholar 

  • Wilczak J, Oncley S, Sage SA (2001) Sonic anemometer tilt correction algorithms. Boundary-Layer Meteorol 99:127–150

    Article  Google Scholar 

  • Williams A, Chambers S, Griffiths S (2013) Bulk mixing and decoupling of the stable nocturnal boundary layer characterized using a ubiquitous natural tracer. Boundary-Layer Meteorol 149:381–402

    Article  Google Scholar 

  • Zeeman MJ, Selker JS, Thomas C (2015) Near-surface motion in the nocturnal, stable boundary layer observed with fibre-optic distributed temperature sensing. Boundary-Layer Meteorol 154:189–205

    Article  Google Scholar 

Download references

Acknowledgements

We gratefully acknowledge the extensive comments of the reviewers that led to major improvements in the manuscript. Discussions with Ivana Stiperski significantly improved our perspective on the impact of sloped terrain on flux measurements. This project received support from Grant AGS-1614345 from the National Science Foundation. The Earth Observing Laboratory of the National Center for Atmospheric Research provided the measurements from the FLOSSII and SCP campaigns. We acknowledge the hard work by scientists and staff involved in collection of the SHEBA turbulence data, especially Christopher Fairall, Peter Guest, and the late Ed Andreas. The SHEBA data collection and analysis was supported by Grants OPP-97-01766 and OPP-00-84323 from the U. S. National Science Foundation. OP and AG were supported by funds from the National Oceanic and Atmospheric Administration/Earth System Research Laboratory/Physical Sciences Division during the preparation of this manuscript. Emily Andreas Moynihan prepared Fig. 5.

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Mahrt, L., Thomas, C.K., Grachev, A.A. et al. Near-Surface Vertical Flux Divergence in the Stable Boundary Layer. Boundary-Layer Meteorol 169, 373–393 (2018). https://doi.org/10.1007/s10546-018-0379-x

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