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Computation of clear‐air radar backscatter from numerical simulations of turbulence: 2. Backscatter moments throughout the lifecycle of a Kelvin‐Helmholtz instability

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TLDR
In this paper, the morphology of computed radar moments throughout the instability lifecycle for two radar configurations was analyzed to reveal the evolving character of radar backscatter and compare the radar velocity estimates with true velocities throughout the evolution, and to provide guidance, and cautions, for the interpretation of these dynamics in observational data.
Abstract
[1] Franke et al. (2011) describe a numerical simulation of the instability and turbulent breakdown of Kelvin-Helmholtz (KH) billows at a high Reynolds number, numerical assessment of radar backscatter, and accuracies of inferred Doppler spectral moments for one test volume. Those results suggest a potential for significant measurement biases for radars that obtain backscatter from refractive index fluctuations. We present in this paper the morphology of computed radar moments throughout the KH instability lifecycle for two radar configurations in order to reveal the evolving character of radar backscatter and compare the radar velocity estimates with true velocities throughout the evolution, and to provide guidance, and cautions, for the interpretation of these dynamics in observational data. Results reveal strong variations in backscatter moments and character, and dependence on radar measurement parameters, that should be beneficial in the interpretation of such measurements in the atmosphere. Backscatter power predictions agree reasonably with observations of such events and their temporal evolutions. Our results also reveal a potential for significant measurement or sensitivity biases, some of which were predicted previously. Examples include a lack of significant backscatter power in well-mixed billow cores, suggesting possibly weak turbulence where in fact it may be strongest, maximum backscatter power in the billow exteriors, where refractive index fluctuations are large but turbulence is weak, underestimated vertical velocities within the KH billows at early times, and inferred significant vertical velocities where true vertical velocities are near zero at late stages of restratification, especially in the edge regions of the turbulence layer.

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Computation of clear‐air radar backscatter from numerical simulations of turbulence: 3. Off‐zenith measurements and biases throughout the lifecycle of a Kelvin‐Helmholtz instability

TL;DR: In this paper, the authors compared backscatter power and inferred velocities with the distributions of turbulence and the true velocity and revealed biases in the identification of active or intense turbulence and in the inferred Doppler spectrum and vertical velocity throughout the flow evolution.
References
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Journal ArticleDOI

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TL;DR: In this article, a review of gravity wave sources and characteristics, the evolution of the gravity wave spectrum with altitude and with variations of wind and stability, the character and implications of observed climatologies, and the wave interaction and instability processes that constrain wave amplitudes and spectral shape are discussed.
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Mixing efficiency in stratified shear flows

TL;DR: In this article, it was shown that this value is not only numerically predictable but also that it is expected to be a nonmonotonic function of the Richardson number that characterizes preturbulent stratification strength.
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Turbulent spectra in a stably stratified atmosphere

TL;DR: In this article, the authors suggest that the discrepancy between the predictions of turbulence theory and the empirical evidence from radio experiments may be the result of modification of the turbulent spectra by the effects of buoyancy in stably stratified layers, and that the primary effect is to reduce the viscous dissipation rate significantly below that which normally would be estimated on the basis of large scale turbulent motions.
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On Local Isotropy of Passive Scalars in Turbulent Shear Flows

TL;DR: In this paper, an assessment of local isotropy and universality in high-Reynolds-number turbulent flows is presented, focusing on the behaviour of passive scalar fields advected by turbulence, but a brief review of relevant facts is given for the turbulent motion itself.
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