Wind Variability as a Function of Time

Ellsaesser, Hugh W.

doi:10.1175/1520-0493(1969)097<0424:wvaafo>2.3.co;2

Cited by 4 publications

(1 citation statement)

References 15 publications

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“…Their observations were taken with special smallsample fast-response equipment a t elevations of 7.5 cm to 153 m. Accepting their reports as validating equation 8for evaluating e over equivalent distances (;t) comparable to the elevation of the observation point, its validity for greater lag times (equivalent distances) depends only on the validity of (6). I n a companion study, published wind variability data were found to be generally consistent with (6) for lag periods up to 6 hr (Ellsaesser, 1969).…”

Section: Validity Argumentssupporting

confidence: 53%

A Climatology of Epsilon (Atmospheric Dissipation)

Ellsaesser¹

1969

Mon. Wea. Rev.

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Kolmogorov's structure functions for the longitudinal and transverse components of locally homogeneous isotropic turbulence are combined vectorially to obtain an expression which permits the evaluation of E (atmospheric dissipation rate) from climatological data. This is used to derive climatological patterns of e in the free atmosphere from Crutcher's upper wind statistics of the Northern Hemisphere. The latter are combined with Kung's boundarylayer values to estimate the distribution of total atmospheric dissipation over the Northern Hemisphere. I. EPSILON AS A FUNCTION OF CLIMATOLOGICAL PARAMETERS In a recent review of the methods of evaluating e (the rate of kinetic energy dissipation in the atmosphere), it appeared that it could be determined from wind variability data. The theory for such an eva1.uation is provided by Kolmogorov's (1941a) second hypothesis of similarity of locally homogeneous isotropic turbulence. In such a field of turbulence and with the z axis along the mean vector wind, this gives for the wind components a t points 1 and 2 a distance x apart U,(X)~= (U~-U~)~=~(U,)~[~-~,(X)]=C(~X)~~~ (1) and U~(X)~= (~~-~~) 2 = 2 (~,)~[ 1-r , (z) J = 4 5 C (~X)~/~, i.e., the space variance or structure function (square of the Eulerian space variability, a,($), which in turn is a function of the standard deviation, u,, and the Eulerian space correlation, ru(z)) is a function only of the separation distance and the intensity of, the turbulence. The latter, by Eolmogorov's hypothesis, is determined by e. Aside from the effect of orientation, equation (1) can be written by dimensional analysis. It can also be derived leading to theoretical as well as empirical values for..&e.constant C. Values assigned Cin the literature include 34 (Kolmogorov, 1941b), 22/a (Obukhov and Iaglom, 1951)) $5 (MacCready, 1953), and approximately 2 (Hinze, 1959; Pond et al., 1963). In this study we use C=2 primarily because this yields the lowest estimates. forE. The x-range of validity of (1) is presumed to be

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Section: Validity Argumentssupporting

confidence: 53%

A Climatology of Epsilon (Atmospheric Dissipation)

Ellsaesser¹

1969

Mon. Wea. Rev.

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Representativeness errors for radiosonde observations

Kitchen

1989

Quart J Royal Meteoro Soc

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SUMMARYData from the United Kingdom operational upper air network, as well as from special radiosonde trials, have been analysed to provide statistics of spatial and temporal atmospheric variations. These statistics are applied to a study of the network performance and of representativeness errors associated with the use of the data in synoptic analysis. The results also have application to comparisons between measurements from radiosondes and those from other observing systems. For example, it is demonstrated that minimum collocation errors associated with radiosonde temperature measurements located at the centre of a satellite radiometer scan spot of radius 55 km are <1 degC for levels in the troposphere and lower stratosphere.

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Mesoscale Variability of Jet Stream Winds Observed by the Sunset VHF Doppler Radar

Gage¹,

Clark²

1978

J. Appl. Meteor.

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Wind Variability as a Function of Time

Cited by 4 publications

References 15 publications

A Climatology of Epsilon (Atmospheric Dissipation)

A Climatology of Epsilon (Atmospheric Dissipation)

Representativeness errors for radiosonde observations

Mesoscale Variability of Jet Stream Winds Observed by the Sunset VHF Doppler Radar

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