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A New Approach to the Problem of Reconstructing the Vertical Turbulent Diffusion Coefficient in the Atmospheric Boundary Layer

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Abstract

This paper describes a new approach to calculating the vertical turbulent diffusion coefficient and its variability, based on the use of modern asymptotic analysis in the singularly perturbed reaction–diffusion problems in combination with information obtained at one of the atmospheric monitoring stations. The capabilities of this method are demonstrated by using the diffusion model that describes changes in the vertical distribution of concentrations of anthropogenic impurities due to turbulent diffusion. Field measurements of the carbon monoxide concentration at various altitudes above Moscow are used in order to control the adequacy of the mathematical model and the efficiency of the calculation algorithm. Based on the analytical calculations, taking into account the initial and boundary conditions, which are consistent with the field observations, the vertical profiles of the turbulent diffusion coefficients and their seasonal changes are determined. The estimated reliability of the values recovered confirms the high efficiency of the proposed method and its high potential in the assessment of emissions and in the numerical atmosphere models.

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REFERENCES

  1. J. J. P. Kuenen, A. J. H. Visschedijk, M. Jozwicka, et al., Atmos. Chem. Phys. 14, 10963–10976 (2014).

    Article  Google Scholar 

  2. N. F. Elansky, Urban Clim. 8, 42–56 (2014).

    Article  Google Scholar 

  3. A. E. Aloyan, Gas Contaminants and Aerosols in the Atmosphere: Simulation of Dynamic and Kinetic (Nauka, Moscow, 2014) [in Russian].

    Google Scholar 

  4. A. Jeričevič, L. Kraljevič, B. Grisogono, et al., Atmos. Chem. Phys. 10, 341–364 (2010).

    Article  Google Scholar 

  5. N. F. Elansky, N. A. Ponomarev, and Y. M. Verevkin, Atmos. Environ. 175 (2), 54–64 (2018).

    Article  Google Scholar 

  6. T. M. Butler, M. G. Lawrence, B. R. Gurjar, et al., Atmos. Environ. 42 (4), 703–719 (2008).

    Article  Google Scholar 

  7. N. F. Elanskii, A. A. Kirsanov, N. A. Ponomarev, et al., Opt. Atmos. Okeana (2019) (in press).

  8. A. C. Monin and A. M. Obukhov, Tr. Geofiz. Inst. Akad. Nauk SSSR 151, 163–187 (1954).

    Google Scholar 

  9. T. Mauritsen, G. Svensson, S. Zilitinkevich, et al., J. Atmos. Sci. 64, 4113–4126 (2007).

    Article  Google Scholar 

  10. B. Grisogono and J. Oerlemans, Tellus A 54, 453–462 (2002).

  11. B. Grisogono, L. Kraljević, and A. Jeričević, Meteorol. Soc. 133, 2133–2136 (2007).

    Article  Google Scholar 

  12. A. B. Vasil’eva, V. F. Butuzov, and N. N. Nefedov, Tr. Mat. Inst. im. V.A. Steklova 268, 268–283 (2010).

    Google Scholar 

  13. C. V. Pao, Nonlinear Parabolic and Elliptic Equations (Plenum, New York, 1992).

    Google Scholar 

  14. N. N. Kalitkin and E. A. Al’shina, Numerical Methods. In 2 Books, Book 1: Numerical Analysis (Akademiya, Moscow, 2013) [in Russian].

  15. J. J. O’Brien, J. Atmos. Sci. 27, 1213–1215 (1970).

    Article  Google Scholar 

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Funding

This work was supported by the Russian Foundation for Basic Research (project nos. 17-29-05102 and 18-29-10080). The observation data were taken from a database created with the support of the Russian Science Foundation (project no. 16-17-10275). The vertical stratification of the atmospheric boundary layer was observed at the station of the Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, with the support of the Russian Foundation for Basic Research (project no. 19-05-00352).

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Correspondence to S. A. Zakharova.

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Translated by E. Maslennikova

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Davydova, M.A., Elansky, N.F. & Zakharova, S.A. A New Approach to the Problem of Reconstructing the Vertical Turbulent Diffusion Coefficient in the Atmospheric Boundary Layer. Dokl. Earth Sc. 490, 92–96 (2020). https://doi.org/10.1134/S1028334X20020051

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  • DOI: https://doi.org/10.1134/S1028334X20020051

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