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Journal of Geophysical Research Atmospheres
Article . 1997 . Peer-reviewed
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A scalar three‐dimensional spectral model with variable anisotropy

Authors: Francis Dalaudier; Alexandre S. Gurvich;

A scalar three‐dimensional spectral model with variable anisotropy

Abstract

This paper introduces a simple three‐dimensional (3‐D) spectral model for scalar fluctuations with variable anisotropy. This heuristic model is useful in the study of statistical properties of stably stratified flows. It goes a step further than existing analogues by explicitly taking into account variation of anisotropy with the size of the fluctuations. The spectral model is specified by its isovalue surfaces and by its generalized energy spectrum. These surfaces are ellipsoids, (variably) elongated in the vertical direction. The model depends on two arbitrary functions of the spectral parameter. The possibilities of such variable anisotropy models are demonstrated by choosing specific functions. The choice was guided by maximal simplicity requirement and by the “tradition” of turbulent studies which heavily uses “power law” functions. These examples show how quantitative predictions are obtained using such 3‐D spectral models. They were selected in order to display characteristics that depend explicitly on the variable anisotropy and that could not have been obtained with previous models. The first example is the calculation of the one‐dimensional spectrum of temperature for arbitrary direction of measurement and the natural prediction of a change in slope for quasi‐horizontal spectra, while the oblique and vertical spectra retain the same slope. The second example is to account for radar echo aspect sensitivity, with angular contrast depending on the radar wavelength. The main advantages of the present model are its great flexibility provided by the use of two arbitrary functions and also the (relative) simplicity of its mathematical formulation.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Average
Top 10%
Average
bronze