Abstract

Abstract. In the spring of 2013, extensive measurements with multiple Doppler lidar systems were performed. The instruments were arranged in a triangle with edge lengths of about 3 km in a moderately flat, agriculturally used terrain in northwestern Germany. For 6 mostly cloud-free convective days, vertical velocity variance profiles were calculated. Weighted-averaged surface fluxes proved to be more appropriate than data from individual sites for scaling the variance profiles; but even then, the scatter of profiles was mostly larger than the statistical error. The scatter could not be explained by mean wind speed or stability, whereas time periods with significantly increased variance contained broader thermals. Periods with an elevated maximum of the variance profiles could also be related to broad thermals. Moreover, statistically significant spatial differences of variance were found. They were not influenced by the existing surface heterogeneity. Instead, thermals were preserved between two sites when the travel time was shorter than the large-eddy turnover time. At the same time, no thermals passed for more than 2 h at a third site that was located perpendicular to the mean wind direction in relation to the first two sites. Organized structures of turbulence with subsidence prevailing in the surroundings of thermals can thus partly explain significant spatial variance differences existing for several hours. Therefore, the representativeness of individual variance profiles derived from measurements at a single site cannot be assumed.

Highlights

  • The vertical velocity variance, w 2, is one of the relevant parameters describing the turbulent structure of the convective boundary layer (CBL)

  • Even if it is assumed that temporal and spatial integration are comparable, i.e., if time can be transformed into space via the mean wind speed (Taylor’s hypothesis; Taylor, 1938), lidar measurements are representative of a restricted region only

  • Hogan et al (2009), e.g., found that scaled variance profiles derived from lidar measurements at one particular site displayed a case-to-case variability that was about as large as the scatter of the fit functions given by Lenschow et al (1980) and Sorbjan (1986), which had been derived from aircraft measurements

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Summary

Introduction

The vertical velocity variance, w 2, is one of the relevant parameters describing the turbulent structure of the convective boundary layer (CBL). Hogan et al (2009), e.g., found that scaled variance profiles derived from lidar measurements at one particular site displayed a case-to-case variability that was about as large as the scatter of the fit functions given by Lenschow et al (1980) and Sorbjan (1986), which had been derived from aircraft measurements. The locations had to be close enough to be situated within the area of the given surface heterogeneity For this configuration, the turbulence characteristics derived from the lidar measurements at the three sites should be similar within the range of statistical errors according to Lenschow et al (1994). By investigating spatial differences of vertical velocity variance, the representativeness of point measurements of vertical turbulence profiles can be assessed.

Measurement site and instruments
Doppler lidars at three sites
Energy balance stations
Additional instruments at Hambach
Selected days
Turbulent surface fluxes
Characteristics of vertical velocity data
Errors considered for variance calculations
Scales and scaling parameters
Profiles of variance and skewness: examples for 20 April
Overview of all scaled variance profiles
Correlation of variance and convective velocity scale
Investigation of outliers
Spatial differences of vertical velocity variances
Influence of the surface energy balance
Influence of averaging periods and measurement uncertainties
Correlations of vertical velocity at different locations
Summary and conclusions
Uncorrelated noise
Systematic error
Findings
Random error
Full Text
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