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Modeling of the Dissipation Rate of Turbulent Kinetic Energy

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Abstract

We consider a relaxation equation for turbulence wavenumber in semi-empirical turbulence closures. It is shown that the well-known phenomenological equation for the dissipation rate of turbulent kinetic energy can be related to this relaxation equation as a close approximation of the latter for stably stratified quasi-stationary flows. The proposed approach makes possible clarification of turbulent closures in the boundary layers of the atmosphere and ocean by specifying the equilibrium states and relaxation relations consistent with the direct and large eddy simulation data.

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ACKNOWLEDGMENTS

This work was supported by the Russian Science Foundation, grant no. 17-17-01210. S.S. Zilitinkevich is grateful to the Finnish Science Foundation, Academy of Finland, for its support, project no. 314 798/799.

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Authors and Affiliations

  1. Lomonosov Moscow State University, 119991, Moscow, Russia

    E. V. Mortikov, A. V. Glazunov, A. V. Debolskiy,  V. N. Lykosov & S. S. Zilitinkevich

  2. Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences, 119991, Moscow, Russia

    E. V. Mortikov, A. V. Glazunov &  V. N. Lykosov

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

    A. V. Debolskiy

  4. Finnish Meteorological Institute, Helsinki, Finland

    S. S. Zilitinkevich

  5. University of Helsinki, Helsinki, Finland

    S. S. Zilitinkevich

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

    S. S. Zilitinkevich

Authors
  1. E. V. Mortikov
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  2. A. V. Glazunov
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  3. A. V. Debolskiy
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  4. V. N. Lykosov
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  5. S. S. Zilitinkevich
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Correspondence to E. V. Mortikov.

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Translated by E. Morozov

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Mortikov, E.V., Glazunov, A.V., Debolskiy, A.V. et al. Modeling of the Dissipation Rate of Turbulent Kinetic Energy. Dokl. Earth Sc. 489, 1440–1443 (2019). https://doi.org/10.1134/S1028334X19120067

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  • DOI: https://doi.org/10.1134/S1028334X19120067

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