Transition from Linear to Non-Linear Flows in Atmospheric Processes

A special issue of Atmosphere (ISSN 2073-4433). This special issue belongs to the section "Meteorology".

Deadline for manuscript submissions: closed (2 April 2018) | Viewed by 8772

Special Issue Editor


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Guest Editor
Department of Physics and Astronomy, University of Western Ontario, London, ON N6A 3K7, Canada
Interests: turbulence; waves; diffusion; non-linear processes; radar studies; instrument platforms

Special Issue Information

Dear Colleagues,

Atmospheric flows vary in form, and the best understood are linear, often assumed to be of small amplitude. Studies of such flows can be performed computationally with a variety of simplifying assumptions using models like the Boussinesq approximation. At the other extreme, the most highly complex flows—specifically turbulent-type flows—can be moderately well understood in a statistical sense, following similitude analysis like that proposed by Kolmogoroff. However, the transition between the flow-types is harder to investigate, since it often involves a wide variety of spectral scales, and computationally requires a relatively full representation of all terms in the relevant fluid equations.

The purpose of this Special Issue is to investigate the transitional region more thoroughly. Studies may include the development of vortical motions and turbulence throughout the troposphere, stratosphere, mesosphere and ionosphere, as well as tornadoes, severe weather, wave–wave coupling, jet-stream instabilities, wave-radiation and even plasma instabilities. Observational, laboratory and numerical papers are encouraged, provided they elucidate the dynamical processes involved. For example, do buoyancy waves collapse to turbulence almost instantaneously, or do they pass through various smaller, but more complex wave-like stages in the process? Does the process depend on the nature of the wave breakdown, e.g., does collapse of a single wave differ in detail from collapse of an unstable environment produced by a spectrum of more linear waves? Of particular interest is comparisons between different models—for example, do results produced by publicly available algorithms like WRF and LES, which solve the Navier–Stokes equations directly, produce similar reliability to more carefully tuned algorithms? At what scales do the different models begin to differ in both process and detail? How can a reader know which computational results to believe? Vigorous discussion of such issues is encouraged.

Prof. Dr. Wayne Hocking
Guest Editor

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Keywords

  • Waves
  • Turbulence
  • Transitional flows
  • Coupling
  • Numerical studies
  • In-situ studies
  • Laboratory studies
  • Diffusion

Published Papers (2 papers)

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28 pages, 3101 KiB  
Article
Vertical Spectra of Temperature in the Free Troposphere at Meso-and-Small Scales According to the Flow Regime: Observations and Interpretation
by Richard Wilson, Hiroyuki Hashiguchi and Masanori Yabuki
Atmosphere 2018, 9(11), 415; https://doi.org/10.3390/atmos9110415 - 23 Oct 2018
Cited by 10 | Viewed by 4130
Abstract
This article addresses the properties of stably-stratified and unstable layers in the free troposphere. Thorpe’s method of analysis has been applied to potential temperature (PT) profiles obtained from the raw measurements of operational radiosondes. In principle, this method distinguishes stably stratified and unstable [...] Read more.
This article addresses the properties of stably-stratified and unstable layers in the free troposphere. Thorpe’s method of analysis has been applied to potential temperature (PT) profiles obtained from the raw measurements of operational radiosondes. In principle, this method distinguishes stably stratified and unstable regions. The background static stability, quantified by the square Brunt-Väisälä frequency estimated on the sorted PT profiles (stable everywhere), is observed to be significantly smaller in the unstable regions, likely due to turbulent mixing. The vertical power spectral densities (PSDs) of temperature fluctuations are shown to be proportional to m p , where p is in the average 2.8 ± 0.2 in the stably stratified regions, and is 1.7 ± 0.3 in the unstable regions, for wavenumbers m in the range [ 10 2 , 10 1 ] m 1 . Such findings validate the Thorpe analysis when applied to radiosondes. Also, the distribution of thicknesses h of unstable layers is observed to approximately follow a power law, varying as h r with r 2.1 ± 0.1 . PT profiles for the entire troposphere have also been analyzed as the sum of a sorted profile and an anomaly profile. The PSDs of the sorted PT profiles are scaled as m 3 down to a few meters on the vertical scale. Simple stochastic models based on random walks with increments having the property of flicker noise are shown to reproduce the spectral properties of the sorted PT profiles, i.e., of the vertical stratification of the free atmosphere. Full article
(This article belongs to the Special Issue Transition from Linear to Non-Linear Flows in Atmospheric Processes)
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21 pages, 861 KiB  
Article
Nitric Oxide Production by Centimeter-Sized Meteoroids and the Role of Linear and Nonlinear Processes in the Shock Bound Flow Fields
by Elizabeth A. Silber, Mihai L. Niculescu, Peter Butka and Reynold E. Silber
Atmosphere 2018, 9(5), 202; https://doi.org/10.3390/atmos9050202 - 22 May 2018
Cited by 6 | Viewed by 4246
Abstract
Nitric oxide (NO) is a critical indicator of energy deposition in the lower thermosphere because of its formational pathways. Thus, it is important to constrain sources of NO, such as meteoroid generated hypersonic flows below 95 km altitude. This paper aims to examine [...] Read more.
Nitric oxide (NO) is a critical indicator of energy deposition in the lower thermosphere because of its formational pathways. Thus, it is important to constrain sources of NO, such as meteoroid generated hypersonic flows below 95 km altitude. This paper aims to examine the process of and place the upper estimate on NO production in high temperature flow fields of strongly ablating meteoroids. For centimeter-sized meteoroids, the production of NO is bound within the dynamically stable volume of bright meteor plasma trains in the region of 80–95 km. Our estimate of the upper limit of the cumulative mass of NO produced annually by centimeter-sized meteoroids is significantly lower than that reported in previous early studies. In the context of shock waves, we explored the reasons why centimeter-sized meteoroids are the most efficient producers of NO. Effects of nonlinear processes on meteoric NO production are discussed. Full article
(This article belongs to the Special Issue Transition from Linear to Non-Linear Flows in Atmospheric Processes)
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