Scale invariance in jet streams: ER‐2 data around the lower‐stratospheric polar night vortex

Tuck, A. F.; Hovde, S. J.; Bui, T. P.

doi:10.1256/qj.03.191

Cited by 19 publications

(25 citation statements)

References 46 publications

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“…The uncertainty estimate in C 1 is obtained by taking the square root of the sum of the squares of the 95% confidence intervals returned by the unweighted linear least squares fits corresponding to q = 0.9 and q = 1.1. Further discussion of these procedures can be found in Schertzer and Lovejoy (1991), Tuck et al (2004) and Tuck (2008).…”

Section: Long-tailed Pdfsmentioning

confidence: 99%

“…The singularities and fluctuations generated do not depend on the details of the dynamics, so rather than requiring an infinite number of descriptive variables, three are sufficient -the scaling exponents H, C 1 and α. Formulations of the mathematics and applications may be found originally in Schertzer and Lovejoy (1985, 1987 and recently in Tuck et al (2004), , Lovejoy et al ( , 2008 and Tuck (2008).…”

Section: Generalized Scale Invariancementioning

confidence: 99%

“…There has been substantial progress in analysing the higher-quality data now available, reflected in recent publications Lovejoy et al, 2004;Tuck et al, 2004Tuck et al, , 2005Lovejoy et al, , 2008Tuck, 2008;Lovejoy et al, 2009aLovejoy et al, , 2009bHovde et al, 2010).…”

Section: The Scaling Of Observationsmentioning

confidence: 99%

“…In order to evaluate C 1 and α, the consequent rather more stringent selection criteria result in a smaller subset of missions and flight legs that can be analysed. A priori evaluations from the aircraft data of all three exponents have been made in Tuck et al (2002Tuck et al ( , 2004 and from the formulae of Schertzer and Lovejoy (1991) and of for the dropsondes described in . The mean values for horizontal wind speed, temperature and relative humidity are H = 0.55, C 1 = 0.05 and α = 1.6.…”

Section: The Scaling Of Observationsmentioning

confidence: 99%

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From molecules to meteorology via turbulent scale invariance

Tuck

2010

Quart J Royal Meteoro Soc

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This review attempts to interpret the generalized scale invariance observed in common atmospheric variables -wind, temperature, humidity, ozone and some trace species -in terms of the computed emergence of ring currents (vortices) in simulations of populations of Maxwellian molecules subject to an anisotropy in the form of a flux. The data are taken from 'horizontal' tracks of research aircraft and from 'vertical' trajectories of research dropsondes. It is argued that any attempt to represent the energy distribution in the atmosphere quantitatively must have a proper basis in molecular physics, a prerequisite to accommodate the observed longtailed velocity probability distributions and the implied effects on radiative transfer, atmospheric chemistry, turbulent structure and the definition of temperature itself. The relationship between fluctuations and dissipation is discussed in a framework of non-equilibrium statistical mechanics, and a link between maximization of entropy production and scale invariance is hypothesized.

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Section: Long-tailed Pdfsmentioning

confidence: 99%

Section: Generalized Scale Invariancementioning

confidence: 99%

Section: The Scaling Of Observationsmentioning

confidence: 99%

Section: The Scaling Of Observationsmentioning

confidence: 99%

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From molecules to meteorology via turbulent scale invariance

Tuck

2010

Quart J Royal Meteoro Soc

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“…Correspondence to: C. Varotsos (covar@phys.uoa.gr) In an attempt to shed light on aforementioned complexity, scaling analysis of atmospheric data certainly is becoming an important approach (Lovejoy, 1982;Koscielny-Bunde et al, 1998;Syroka and Toumi, 2001;Tuck et al, 2002Tuck et al, , 2003Tuck et al, , 2004Tuck, 2006). Schertzer and Lovejoy (1985) originated the application of scaling to the atmosphere, although its power law roots can be traced back to Richardson (1926).…”

Section: Introductionmentioning

confidence: 99%

Long-memory processes in ozone and temperature variations at the region 60° S–60° N

2006

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Abstract. Global column ozone and tropospheric temperature observations made by ground-based and satellite-borne (1978-2004) instrumentation are analyzed. Ozone and temperature fluctuations in small time-intervals are found to be positively correlated to those in larger timeintervals in a power-law fashion. For temperature, the exponent of this dependence is larger in the mid-latitudes than in the tropics at long time scales, while for ozone, the exponent is larger in tropics than in the mid-latitudes. In general, greater persistence could be a result of either stronger positive feedbacks or larger inertia. Therefore, the increased slope of the power distribution of temperature in mid-latitudes at long time scales compared to the slope in the tropics could be connected to the poleward increase in climate sensitivity predicted by the global climate models. The detrended fluctuation analysis of model and observed time series provides a helpful tool for visualizing errors in the treatment of long-range correlations, whose correct modeling would greatly enhance confidence in long-term climate and atmospheric chemistry modeling.

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The nonconvective/convective structural transition in stochastic scaling of atmospheric fields

Nogueira

Barros

2014

JGR Atmospheres

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High-resolution numerical weather prediction simulations are able to reproduce observed stochastic scale invariant behavior of atmospheric wind and water fields down to the effective model resolution, which is shown to be a process-dependent transient property that varies with the underlying dynamics. The effective resolution gain in dynamical downscaling of convective regimes is substantially smaller than the grid size decrease indicating that improvements in the model's capacity to resolve small-scale processes require consistent adjustments including both numerical formulation and physical parameterizations. Instantaneous realizations of simulated atmospheric wind and water fields exhibit robust multifractal properties with intrinsically transient scaling behavior depending on the underlying atmospheric state. In particular, a sharp transition in the scaling parameters between nonconvective and convective conditions is found, which explains different scaling regimes reported in the literature for atmospheric wind, temperature, and moisture observations. Spectral slopes around 2-2.3 arise under nonconvective or very weak convective conditions, tightly related to the scaling behavior of the underlying topography. In convective situations the transient scaling exponents remain under 5/3 in agreement with the Kolmogorov turbulent regime accounting for the intermittency correction. These findings have important implications for stochastic downscaling and the implementation of stochastic subgrid scale parameterizations using fractal methods. Specifically, it is shown that, based on scaling arguments, subgrid scale probability distributions of atmospheric moisture can be obtained from the coarse resolution information alone. Our results suggest that fractal methods can be used for estimating temporally and spatially varying regime-based subgrid scale statistics (and realizations of moisture fields) in real time and in a computationally efficient manner that could be useful in climate models.

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Scale invariance in jet streams: ER‐2 data around the lower‐stratospheric polar night vortex

Cited by 19 publications

References 46 publications

From molecules to meteorology via turbulent scale invariance

From molecules to meteorology via turbulent scale invariance

Long-memory processes in ozone and temperature variations at the region 60° S–60° N

The nonconvective/convective structural transition in stochastic scaling of atmospheric fields

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