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A Simple Description of the Turbulent Transport in a Stratified Shear Flow as Applied to the Description of Thermohydrodynamics of Inland Water Bodies

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Abstract

A way to parameterize the turbulent Prandtl number is proposed based on the model of turbulent transport in a stratified fluid, which allows for the two-sided transformation of the kinetic and potential energies of turbulent fluctuations. Numerical experiments aimed at studying the influence of the proposed parameterization on characteristic features of thermohydrodynamic processes in inland water bodies have been carried out.

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Notes

  1. Later, in works by S.S. Zilitinkevich’s group [26, 27], the theory of turbulent closure was proposed. It is based on balance equations for the kinetic and potential energy of turbulence, turbulent momentum fluxes, potential temperature, and relaxation equation for the turbulent time scale. This model also allows one to remove restrictions on the existence of turbulence at large Reynolds numbers.

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Funding

This work was supported by the Russian Foundation for Basic Research, project nos. 18-05-00292, 18-05-60299, and 20-05-00776, as well as by grants of the President of the Russian Federation for the state support of young Russian scientists MK-1867.2020.5 and MD-1850.2020.5.

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Authors and Affiliations

  1. Institute of Applied Physics, Russian Academy of Sciences, 603950, Nizhny Novgorod, Russia

    I. A. Soustova, Yu. I. Troitskaya, D. S. Gladskikh & D. A. Sergeev

  2. Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, 119017, Moscow, Russia

    Yu. I. Troitskaya

  3. Research Computing Center, Moscow State University, 119234, Moscow, Russia

    D. S. Gladskikh & E. V. Mortikov

  4. Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, 119333, Moscow, Russia

    E. V. Mortikov

  5. Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia

    D. S. Gladskikh & E. V. Mortikov

Authors
  1. I. A. Soustova
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  2. Yu. I. Troitskaya
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  3. D. S. Gladskikh
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  4. E. V. Mortikov
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  5. D. A. Sergeev
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Correspondence to D. S. Gladskikh.

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Translated by A. Nikol’skii

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Soustova, I.A., Troitskaya, Y.I., Gladskikh, D.S. et al. A Simple Description of the Turbulent Transport in a Stratified Shear Flow as Applied to the Description of Thermohydrodynamics of Inland Water Bodies. Izv. Atmos. Ocean. Phys. 56, 603–612 (2020). https://doi.org/10.1134/S0001433820060109

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