The importance of surface layer parameterization in modeling of stable atmospheric boundary layers

Abstract

The accuracy of prediction of stable atmospheric boundary layers depends on the parameterization of the surface layer which is usually derived from the Monin–Obukhov similarity theory. In this article, several surface-layer models in the format of velocity and potential temperature Deacon numbers are compared with observations from CASES99, Cardington, and Halley datasets. The comparisons were hindered by a large amount of scatter within and among datasets. Tests utilizing R² demonstrated that the quasi-normal scale elimination (QNSE) theory exhibits the best overall performance. Further proof of this was provided by 1D simulations with the Weather Research and Forecasting (WRF) model.

References Andreas E. 2002. Parameterizing scalar transfer over snow and ice: a review. Journal of Hydrometeorology 3: 417–432. Andreas E, Hicks B. 2002. Comments on “A critical test of the validity of Monin-Obukhov similarity during convective conditions”. Journal of the Atmospheric Sciences 59: 2605–2607. Businger J, Wyngaard J, Izumi Y, Bradley E. 1971. Flux-profile relationships in the atmospheric surface layer. Journal of the Atmospheric Sciences 28: 181–189. Cheng Y, Brutsaert W. 2005. Flux-profile relationships for wind speed and temperature in the stable atmospheric boundary layer. Boundary-Layer Meteorology 114: 519–538. Foken T. 2006. 50 Years of the Monin-Obukhov similarity theory. Boundary-Layer Meteorology 119: 431–447. Galperin B, Sukoriansky S. 2010. Geophysical flows with anisotropic turbulence and dispersive waves: flows with stable stratification. Ocean Dynamics 60: 1319–1337. Grachev A, Andreas E, Fairall C, Guest P. 2007. SHEBA flux-profile relationships in the stable atmospheric boundary layer. Monthly Weather Review 124: 315–333. Guo X, Zhang H. 2007. A performance comparison between nonlinear similarity functions in bulk parameterization for very stable boundary layer. Environmental Fluid Mechanics 7: 239–257. Högström U. 1996. Review of some basic characteristics of the atmospheric surface layer. Boundary-Layer Meteorology 78: 215–246. Holtslag A, DeBruin H. 1988. Applied modeling of the nighttime surface energy balance over land. Journal of Applied Meteorology 27: 689–704. Kim J. 1999. Spurious correlation between ratios with a common divisor. Statistics & Probability Letters 44: 383–386. Klipp J, Mahrt L. 2004. Flux-gradient relationship, self-correlation and intermittency in the stable boundary layer. Quarterly Journal of the Royal Meteorological Society 130: 2087–2103. Kosovic B, Curry J. 2000. A large-eddy simulation study of a quasi-steady, stable stratified atmospheric boundary layer. Journal of the Atmospheric Sciences 57: 1057–1068. Lin YL, Rarley R, Orville H. 1983. Bulk parameterization of the snow field in a cloud model. Journal of Applied Meteorology 22: 1065–1092. Louis J. 1979. A parametric model of vertical eddy fluxes in the atmosphere. Boundary-Layer Meteorology 17: 187–202. Luhar A, Hurley P, Rayner K. 2009. Modelling near-surface lowwinds over land under stable conditions: sensitivity tests, flux-gradient relationships, and stability parameters. Boundary-Layer Meteorology 130: 249–274. Mahrt L. 1999. Stratified atmospheric boundary layers. Boundary-Layer Meteorology 90: 375–396. Mahrt L. 2010. Variability and maintenance of turbulence in the very stable boundary layer. Boundary-Layer Meteorology 135: 1–18, doi: 10.1007/s10546-009-9463-6. Mahrt L. 2014. Stably stratified atmospheric boundary layers. Annual Review of Fluid Mechanics 46: 23–45. Monin A, Obukhov A. 1954. Basic laws of turbulent mixing in the atmospheric surface layer. Trudy Geofizicheskogo Instituta Akademiya Nauk SSSR 24: 163–187. Monin A, Yaglom A. 1965. Statistical fluid mechanics. In Mechanics of Turbulence, Vol. 1(Translated from the Russian by Scripta Technica, Inc). MIT Press: Cambridge, MA. Poulos GS, Blumen W, Fritts DC, Lundquist JK, Sun J, Burns SP, Nappo C, Banta R, Newsom R, Cuxart J, Terredellas E, Balsley B, Jensen M. 2002. CASES-99: a comprehensive investigation of the stable nocturnal boundary layer. Bulletin of the American Meterological Society 83: 555–581. Skamarock W, Klemp J. 2007. A time-split nonhydrostatic atmospheric model for research and NWP applications. Journal of Computational Physics 135: 3465–3485. Skamarock W, Klemp J, Dudhia J, Gill D, Barker D, Duda M, Huang XY, Wang W, Powers J. 2008. A description of the advanced research wrf version 3. NCAR Technical note NCAR/TN475+STR. NCAR: Boulder, CO. Sterk H, Steeneveld G, Holtslag A. 2013. The role of snow-surface coupling, radiation, and turbulent mixing in modeling a stable boundary layer over arctic sea ice. Journal of Geophysical Research 118: 1199–1217. Stoll R, Porte-Agel F. 2008. Large-eddy simulation of the stable atmospheric boundary using dynamical models with different averaging schemes. Boundary-Layer Meteorology 126: 1–28. Sukoriansky S, Galperin B. 2013. An analytical theory of the buoyancy-kolmogorov subrange transition in turbulent flows with stable stratification. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371: 1982. Sukoriansky S, Galperin B, Perov V. 2005. Application of a new spectral theory of stably stratifed turbulence to the atmospheric boundary layer over sea ice. Boundary-Layer Meteorology 117: 231–257. Tennekes H, Lumley J. 1972. A First Course in Turbulence. MIT Press: Cambridge, MA. Viswanadham Y. 1979. Relation of Richardson number to the curvature of the wind profile. Boundary-Layer Meteorology 17: 537–544. Zilitinkevich S, Esau I. 2007. Similarity theory and calculation of turbulent fluxes at the surface for the stably stratified atmospheric boundary layer. Boundary-Layer Meteorology 125: 193–205. Zilitinkevich S, Elperin T, Kleeorin N, Rogachevskii I, Esau I. 2013. A hierarchy of energy- and flux-budget (EFB) turbulence closure models for stably-stratified geophysical flows. Boundary-Layer Meteorology 146: 341–373.