New Approach and Microsystem Technology of Advanced Non-Linear Analysis and Modelling Chaotic Environmental Radioactivity Dynamics

Глушков, А. В.; Khetselius, O. Yu.; Bunyakova, Yu. Ya.; Buyadzhi, V. V.; Dubrovskaya, Yu. V.

doi:10.18524/1815-7459.2017.3.111406

Cited by 2 publications

(1 citation statement)

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“…More details are in Refs. [2][3][4][5][6][7][8][9][10][14][15][16][17]. All computing is carried out with using the PC codes "Geomath", "Quantum Chaos", "ScanPoints" [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34].…”

Section: Nonlinear Dynamics Of Chaotic Atmospheric Ventilationmentioning

confidence: 99%

Nonlinear Dynamics of the Industrial City’s Atmospheric Ventilation: New Differential Equations Model and Chaotic Ventilation

Khetselius

Глушков

Stepanenko

et al. 2021

Springer Proceedings in Mathematics &Amp; Statistics

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We present a new generalized mathematical approach to analysis and modelling the characteristics of the chaotic atmospheric dynamical system, including natural air ventilation in the atmosphere of the industrial city. The approach is based on the Arakawa-Schubert model of calculation of cloud convection, modified to calculate the current involvement of the ensemble of clouds, and hydrodynamical prediction model (with correct quantitative accounting for the turbulence in an atmosphere of the urban zone) and theory of a complex geophysical field. The method for computing a turbulence spectra inside the city's (urban) zone is based on the generalized model of the tensor equations for turbulent tensions. The velocity components of an air flux over the city area are determined in an approximation of "shallow water" and found on the basis of the advanced spectral series expansion approach. The results of the PC simulation experiments for an chaotic air ventilation and a chaotic heat transfer in atmosphere of industrial city, including the data of modelling ventilation (mesocirculation) parameters over territory of Odessa are presented. The numerical data on a current function and velocity potential are computed and analyzed presented for a few hydrodynamic (synoptic) situations in the Odessa city.

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