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Study of the Neutral Ekman Flow Using an Algebraic Reynolds Stress Model

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Abstract

A recently developed fully explicit algebraic model of Reynolds stress and turbulent heat flux in a thermally stratified planetary atmospheric boundary layer without stratification has been used for a numerical study of the Ekman turbulent boundary layer over a homogeneous rough surface for different dimensionless surface Rossby numbers. A comparative analysis has been conducted for a closure model of the transport term in the prognostic equation of turbulent kinetic energy dissipation including third-order moments. Dependences of the total wind rotation angle on the Rossby number have been obtained. The calculated vertical profiles of mean velocity, turbulent stress, turbulent kinetic energy, surface-friction velocity, and boundary-layer height agree satisfactorily with observational and earlier obtained LES data.

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Authors and Affiliations

  1. Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    A. F. Kurbatskii

  2. Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    L. I. Kurbatskaya

Authors
  1. A. F. Kurbatskii
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  2. L. I. Kurbatskaya
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Correspondence to A. F. Kurbatskii.

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Original Russian Text © A.F. Kurbatskii, L.I. Kurbatskaya, 2018, published in Izvestiya Rossiiskoi Akademii Nauk, Fizika Atmosfery i Okeana, 2018, Vol. 54, No. 4, pp. 396–404.

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Kurbatskii, A.F., Kurbatskaya, L.I. Study of the Neutral Ekman Flow Using an Algebraic Reynolds Stress Model. Izv. Atmos. Ocean. Phys. 54, 336–343 (2018). https://doi.org/10.1134/S0001433818040266

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  • DOI: https://doi.org/10.1134/S0001433818040266

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