Phases of the Isobaric Surface Shapes in the Geostrophic State of the Atmosphere and Connection to the Polar Vortices

Zakinyan, R. G.; Zakinyan, Arthur; Ryzhkov, Roman

doi:10.3390/atmos7100126

Cited by 3 publications

(2 citation statements)

References 33 publications

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“…where r is a parameter that indicates the relative reproduction rate compared to the competition rate [55]. Similarly, continuous variables like the wind components (u(t), v(t)) of a frontal system (e.g., cold front) are also governed by an evolution law but with a real time, t ∈ R. From Newton's second law, the (differential) equations of the simplest or geostrophic wind are as follows [56,57]:…”

Section: Geometry In Dynamical Systemsmentioning

confidence: 99%

Review: Fractal Geometry in Precipitation

Monjo,

Meseguer-Ruiz

2024

Atmosphere

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Rainfall, or more generally the precipitation process (flux), is a clear example of chaotic variables resulting from a highly nonlinear dynamical system, the atmosphere, which is represented by a set of physical equations such as the Navier–Stokes equations, energy balances, and the hydrological cycle, among others. As a generalization of the Euclidean (ordinary) measurements, chaotic solutions of these equations are characterized by fractal indices, that is, non-integer values that represent the complexity of variables like the rainfall. However, observed precipitation is measured as an aggregate variable over time; thus, a physical analysis of observed fluxes is very limited. Consequently, this review aims to go through the different approaches used to identify and analyze the complexity of observed precipitation, taking advantage of its geometry footprint. To address the review, it ranges from classical perspectives of fractal-based techniques to new perspectives at temporal and spatial scales as well as for the classification of climatic features, including the monofractal dimension, multifractal approaches, Hurst exponent, Shannon entropy, and time-scaling in intensity–duration–frequency curves.

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Section: Geometry In Dynamical Systemsmentioning

confidence: 99%

Review: Fractal Geometry in Precipitation

Monjo,

Meseguer-Ruiz

2024

Atmosphere

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“…CPV sinuosity (i.e., ratio of CPV length to the length of the corresponding parallel of latitude segment) has also been analyzed for the 500-hPa level in the North American sector (Vavrus et al, 2017 ) and at the hemispheric scale (Cattiaux et al, 2016 ; Di Capua and Coumou, 2016 ), using a fast Fourier transform (FFT) approach (Screen and Simmonds, 2013 ), and for potential-vorticity-based identification of Rossby wave initiation (Röthlisberger et al, 2016 ). However, despite these and a few other important studies (e.g., Zakinyan et al, 2016 ), there remains a need for examining and interpreting the CPV shape.…”

Section: Introductionmentioning

confidence: 99%

Changing features of the Northern Hemisphere 500-hPa circumpolar vortex

Bushra¹,

Rohli²,

Li³

et al. 2023

Front. Big Data

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The tropospheric circumpolar vortex (CPV), an important signature of processes steering the general atmospheric circulation, surrounds each pole and is linked to the surface weather conditions. The CPV can be characterized by its area and circularity ratio (Rc), which both vary temporally. This research advances previous work identifying the daily 500-hPa Northern Hemispheric CPV (NHCPV) area, Rc, and temporal trends in its centroid by examining linear trends and periodic cycles in NHCPV area and Rc (1979–2017). Results suggest that NHCPV area has increased linearly over time. However, a more representative signal of the planetary warming may be the temporally weakening gradient which has blurred NHCPV distinctiveness—perhaps a new indicator of Arctic amplification. Rc displays opposing trends in subperiods and an insignificant overall trend. Distinct annual and semiannual cycles exist for area and Rc over all subperiods. These features of NHCPV change over time may impact surface weather/climate.

show abstract

Review: Fractal Geometry in Precipitation

Monjo,

Meseguer-Ruiz

2024

Preprint

View full text Add to dashboard Cite

Rainfall, or more generally the precipitation process (flux), is a clear example of chaotic variables resulting from a highly nonlinear dynamical system, the atmosphere, represented by a set of physical equations such as the Navier-Stokes equations, energy balances and hydrological cycle among others. As a generalization of the Euclidean (ordinary) measurements, chaotic solutions of these equations are characterized by fractal dimensions, which are non-integer values that represent the complexity of variables like the precipitation. However, observed precipitation is measured as an aggregate variable over time, thus physical analysis of the observed fluxes is very limited. Therefore, this review aims to go through the different approaches used in the identification and analysis of the complexity of the observed precipitation, taking advantage of its geometry footprint. To address the review, it ranges from classical perspectives of fractal-based techniques to new perspectives at temporal and spatial scales as well as for classification of climatic features, including monofractal dimension, multifractal approaches, Hurst exponent, Shannon entropy and time scaling in intensity-duration-frequency curves.

show abstract

Phases of the Isobaric Surface Shapes in the Geostrophic State of the Atmosphere and Connection to the Polar Vortices

Cited by 3 publications

References 33 publications

Review: Fractal Geometry in Precipitation

Review: Fractal Geometry in Precipitation

Changing features of the Northern Hemisphere 500-hPa circumpolar vortex

Review: Fractal Geometry in Precipitation

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