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Optimal Disturbances of Stably Stratified Turbulent Couette Flow

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Abstract

Direct numerical simulation data of a stably stratified turbulent Couette flow contains two types of organized structures: the rolls that arise at neutral and close to neutral stratification and the layered structures that manifest themselves as the static stability increases. It is shown that both types of structures have spatial scales and forms that coincide with the scales and forms of the corresponding optimal disturbances of the simplified linear model of the Couette flow with the same Richardson numbers.

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ACKNOWLEDGMENTS

Direct numerical simulation was carried out using the equipment of the shared research facilities of HPC computing resources at Lomonosov Moscow State University.

Funding

Direct numerical simulation was supported by the Russian Science Foundation, project № 17-17-01210. Development and implementation of the algorithms for computing the optimal disturbances were supported by the Russian Science Foundation, project № 17-71-20149.

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Authors and Affiliations

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

    A. V. Glazunov & Yu. M. Nechepurenko

  2. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia

    G. V. Zasko

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

    E. V. Mortikov

Authors
  1. A. V. Glazunov
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  2. G. V. Zasko
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  3. E. V. Mortikov
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  4. Yu. M. Nechepurenko
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Corresponding authors

Correspondence to A. V. Glazunov, G. V. Zasko, E. V. Mortikov or Yu. M. Nechepurenko.

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Translated by E. Oborin

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Glazunov, A.V., Zasko, G.V., Mortikov, E.V. et al. Optimal Disturbances of Stably Stratified Turbulent Couette Flow. Dokl. Phys. 64, 308–312 (2019). https://doi.org/10.1134/S1028335819070097

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  • DOI: https://doi.org/10.1134/S1028335819070097

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