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**Observations of boundary-layer turbulence using Doppler lidar and surface fluxes**

Robin Hogan Alan Grant, Ewan O’Connor, Anthony Illingworth, Guy Pearson Department of Meteorology, University of Reading

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**Overview Boundary-layer observations at Chilbolton**

Boundary-layer height mapping (Cyril Morcrette) Humidity convergence from refractivity (John Nicol) Evaluation of boundary-layer cloud forecasts (Andrew Barrett) Boundary-layer cloud microphysics (Ewan O’Connor) Properties of turbulence from Doppler lidar and surface fluxes Variance and skewness of vertical wind The nature of turbulence driven by cloud-top radiative cooling Potential for evaluating boundary layer parameterizations

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**Mapping BL top with radar**

Radar BL top Radar sees clear-air scattering from refractive index inhomogeneities at boundary-layer top Mesoscale model BL top Cyril Morcrette, MWR 2007

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Refractivity Low-level atmospheric refractivity can be derived by measuring the phase shift between pieces of “ground clutter” with a scanning radar (higher refractivity usually means higher humidity) Animation of refractivity during the passage of a sea breeze from south: Met Office working to assimilate it to provide information on humidity convergence as a precursor to convection John Nicol

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**Diurnal cycle composite of clouds**

Radar and lidar provide cloud boundaries and cloud properties above the site Meteo-France: Local mixing scheme: too little entrainment Swedish Met Institute: Prognostic TKE scheme: no diurnal evolution All other models have a non-local mixing scheme in unstable conditions and an explicit formulation for entrainment at cloud top: better performance over the diurnal cycle Andrew Barrett, submitted to GRL

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**Most of incoming solar energy used for evaporation and transpiration**

Fluxes on 11 July 2007 Most of incoming solar energy used for evaporation and transpiration Photosynthesis Turbulence

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**Surface heating leads to convectively generated turbulence**

Input of sensible heat “grows” a new cumulus-capped boundary layer during the day (small amount of stratocumulus in early morning) Surface heating leads to convectively generated turbulence Convection is “switched off” when sensible heat flux goes negative at 1800 Insects carried in updrafts to above the boundary layer top

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**Comparing variance to previous studies**

New contribution to variance Lidar temporal resolution of ~30 s Smallest eddies not detected, so add them using -5/3 law Only valid in convective boundary layers where part of the inertial subrange is detected Normalize variance by convective velocity scale Reasonable agreement with Sorbjan (1980) and Lenschow et al. (1989)

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**Skewness Skewness defined as**

Positive in convective daytime boundary layers Agrees with aircraft observations of LeMone (1990) when plotted versus the fraction of distance into the boundary layer Useful for diagnosing source of turbulence

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**Skewness in convective BLs**

Both model simulations and laboratory visualisation show convective boundary layers heated from below to have narrow, intense updrafts and weak, broad downdrafts, i.e. positive skewness Narrow fast updrafts Wide slow downdrafts Courtesy Peter Sullivan NCAR

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**Why is skewness positive?**

Consider TKE budget: Vertical flux of TKE is So skewness positive when TKE transported upwards by turbulence Stull TKE generated by shear and buoyancy in lower BL TKE destroyed by dissipation & buoyancy suppression at BL top TKE transported upwards by turbulence Transport

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**...a alternative related explanation**

Updraft regions of large eddies have more intense small-scale turbulence than the downdraft regions This leads to an asymmetric velocity distribution Will test this later... Large eddies only All eddies

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**11 April 2007 Stratocumulus cloud Longwave cooling**

Height Potential temperature Longwave cooling Shortwave heating Cloud Negatively buoyant plumes generated at cloud top: upside-down convection and negative skewness Positively buoyant plumes generated at surface: normal convection and positive skewness 11 April 2007

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**Cospectrum The cospectrum, Cww2:**

Vertical wind from 11 April 2007 at time of transition The cospectrum, Cww2: Defined as the complex conjugate of FFT of w’ multiplied by FFT of w’ 2 Can be thought of as a spectral decomposition of the third moment: Hunt et al. (1988) showed that it goes as freq-2 in intertial subrange Skewness dominated by larger (20 minute timescale) eddies

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Closed-cell stratocu. Previous studies have shown updraft/downdraft asymmetry in stratocumulus at the largest scales Puzzle as to why aspect ratio of cells is as much as 30:1 Shao & Randall (JAS 1996)

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**Comparison of top-down and bottom-up**

Variance of vertical wind Good agreement with previous studies if H = 30 W m-2 Variance peaks in upper third of BL: agrees with Lenschow et al.’s fit provided theirs is inverted in height Skewness Very good agreement with the fit of LeMone (1990) to aircraft data provided hers is inverted in sign and height

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**Aircraft vs LES LES: Moeng and Wyngaard (1988)**

Aircraft observations: LeMone (1990)

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**Upside-down Carson’s model**

If all the physics is the same but inverted, we can apply Carson’s model to predict the growth of the cloud-top-cooling driven mixed layer With longwave cooling rate of H = 30 W m-2 and lapse rate of g = 1 K km-1, we estimate growth of 1.1 km in 3 hours, approximately the same as observed

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**Potential to evaluate the Lock BL scheme**

Very little turbulence Lidar sees continuous cloud Turbulence not reaching ground Negative skewness Lidar sees continuous cloud Turbulence throughout BL Skewness changes sign

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**Potential to evaluate the Lock BL scheme**

Lidar sees continuous cloud Turbulence with a minimum Skewness changes sign Lidar sees Cu below Sc Turbulence with a minimum? Skewness of both signs Lidar sees Cu Turbulence below Cu base Negative skewness

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Conclusions Many ways in which the Chilbolton instruments can be used to investigate the properties of the boundary layer Variance and skewness from 2.5 years of continuous Doppler lidar data could be used to evaluate the categories predicted by the Lock boundary-layer scheme in the Met Office model More details here:

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