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Article

Deriving Six Components of Reynolds Stress Tensor from Single-ADCP Data

Karelian Research Centre, Northern Water Problems Institute, Russian Academy of Sciences (NWPI), 185030 Petrozavodsk, Russia
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Academic Editors: Lars Bengtsson and Alistair G. L. Borthwick
Water 2021, 13(17), 2389; https://doi.org/10.3390/w13172389
Received: 30 June 2021 / Revised: 13 August 2021 / Accepted: 27 August 2021 / Published: 30 August 2021
(This article belongs to the Special Issue Physical Processes in Lakes)
Acoustic Doppler current profilers (ADCP) are widely used in geophysical studies for mean velocity profiling and calculation of energy dissipation rate. On the other hand, the estimation of turbulent stresses from ADCP data still remains challenging. With the four-beam version of the device, only two shear stresses are derivable; and even for the five-beam version (Janus+), the calculation of the full Reynolds stress tensor is problematic currently. The known attempts to overcome the problem are based on the “coupled ADCP” experimental setup and include some hard restrictions, not to mention the essential complexity of performing experiments. In this paper, a new method is presented which allows to derive the stresses from single-ADCP data. Its essence is that interbeam correlations are taken into account as producing the missing equations for stresses. This method is applicable only for the depth range, for which the distance between the beams is comparable to the scales, where the turbulence is locally isotropic and homogeneous. The validation of this method was carried out for convectively-mixed layer in a boreal ice-covered lake. The results of computations turned out to be physically sustainable in the sense that realizability conditions were basically fulfilled. The additional verification was carried out by comparing the results, obtained by the new method and “coupled ADCPs” one. View Full-Text
Keywords: full set of turbulent stresses; Acoustic Doppler current profilers; interbeam velocity correlations; ice-covered lakes; convectively-mixed layer; anisotropic turbulence full set of turbulent stresses; Acoustic Doppler current profilers; interbeam velocity correlations; ice-covered lakes; convectively-mixed layer; anisotropic turbulence
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MDPI and ACS Style

Bogdanov, S.; Zdorovennov, R.; Palshin, N.; Zdorovennova, G. Deriving Six Components of Reynolds Stress Tensor from Single-ADCP Data. Water 2021, 13, 2389. https://doi.org/10.3390/w13172389

AMA Style

Bogdanov S, Zdorovennov R, Palshin N, Zdorovennova G. Deriving Six Components of Reynolds Stress Tensor from Single-ADCP Data. Water. 2021; 13(17):2389. https://doi.org/10.3390/w13172389

Chicago/Turabian Style

Bogdanov, Sergey, Roman Zdorovennov, Nikolay Palshin, and Galina Zdorovennova. 2021. "Deriving Six Components of Reynolds Stress Tensor from Single-ADCP Data" Water 13, no. 17: 2389. https://doi.org/10.3390/w13172389

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