hydrophysicsФундаментальная и прикладная гидрофизикаFundamental and Applied Hydrophysics2073-66732782-5221St. Petersburg Research Center of the Russian Academy of Sciences10.7868/S2073667321010093hydrophysics-92Research ArticleГИДРОАКУСТИКАHYDROACOUSTICSМетод оценки параметров анизотропии мелкомасштабной турбулентности по данным акустических профилографовA Method for Estimation of Turbulence Fine-Scale Anisotropy Parameters from ADCP DataВолковС. Ю.VolkovS.

185030, пр. Александра Невского, д.50, г. Петрозаводск, Республика Карелия

Petrozavodsk

БогдановС. Р.BogdanovS.

185030, пр. Александра Невского, д.50, г. Петрозаводск, Республика Карелия

185910, пр. Ленина, 33, г. Петрозаводск, Республика Карелия

Petrozavodsk

ЗдоровенноваГ. Э.ZdorovennovaG.

185030, пр. Александра Невского, д.50, г. Петрозаводск, Республика Карелия

Petrozavodsk

zdorovennova@gmail.comТержевикА. Ю.TerzhevikA.

185030, пр. Александра Невского, д.50, г. Петрозаводск, Республика Карелия

Petrozavodsk

ЗдоровенновР. Э.ZdorovennovR.

185030, пр. Александра Невского, д.50, г. Петрозаводск, Республика Карелия

Petrozavodsk

ПальшинН. И.PalshinN.

185030, пр. Александра Невского, д.50, г. Петрозаводск, Республика Карелия

Petrozavodsk

ЕфремоваТ. В.EfremovaT.

185030, пр. Александра Невского, д.50, г. Петрозаводск, Республика Карелия

Petrozavodsk

КириллинГ. Б.KirillinG.

г. Берлин, Мюггельзедамм 310, 12587

12587, Müggelseedamm 310, Berlin

Институт водных проблем севера Карельского научного центра РАНРоссияNorthern Water Problems Institute, Karelian Research Centre, Russian Academy of SciencesRussian FederationИнститут водных проблем севера Карельского научного центра РАН; Петрозаводский государственный университетРоссияNorthern Water Problems Institute, Karelian Research Centre, Russian Academy of Sciences; Petrozavodsk State UniversityRussian FederationЛейбниц-Институт пресноводной экологии и рыболовства во внутренних водоемах (IGB)ГерманияLeibniz-Institute of Freshwater Ecology and Inland Fisheries (IGB)Germany2021301120211418696Copyright © Волков С.Ю., Богданов С.Р., Здоровеннова Г.Э., Тержевик А.Ю., Здоровеннов Р.Э., Пальшин Н.И., Ефремова Т.В., Кириллин Г.Б., 20212021Волков С.Ю., Богданов С.Р., Здоровеннова Г.Э., Тержевик А.Ю., Здоровеннов Р.Э., Пальшин Н.И., Ефремова Т.В., Кириллин Г.Б.Volkov S., Bogdanov S., Zdorovennova G., Terzhevik A., Zdorovennov R., Palshin N., Efremova T., Kirillin G.This work is licensed under a Creative Commons Attribution 4.0 License.https://hydrophysics.spbrc.ru/jour/article/view/92

Акустические допплеровские профилографы течений широко используются для построения вертикальных профилей скорости. В последние годы эти приборы применяются также для оценок скорости ε диссипации энергии, на основе анализа продольных структурных функций. Применимость этих оценок, однако, остается спорной, поскольку расчет осуществляется в рамках предположения о локальной однородности и изотропности мелкомасштабных пульсаций и с использованием канонических значений констант Колмогорова. Однако во многих случаях, как показывают экспериментальные исследования и прямые численные расчеты, эти константы существенно варьируются, что приводит к ошибкам в определении ε, которые могут превышать 50 %. В данной работе представлен метод, позволяющий произвести оценку параметров анизотропии непосредственно по анализу всех лучевых компонент скорости. Его суть заключается в использовании обобщенных (4-точечных) структурных функций и учете межлучевых корреляций скорости. Получено, в частности, явное выражение для поперечной структурной функции, что позволяет осуществить непосредственную проверку «закона 4/3». Апробация метода осуществлена на основе обработки данных, полученных при изучении турбулентности в конвективно-перемешанном слое покрытых льдом озер (Онежское и Вендюрское).

Acoustic Doppler Current Profilers (ADCP) are widely used for deriving velocity vertical profiles. In recent years these devices were also actively explored for estimations of the energy dissipation rate ε by studying longitudinal velocity structure functions (SF). However, these estimates remain questionable because the correspondent SF method is based on the assumption of the fine-scale isotropy and explores the canonical values for Kolmogorov constants. The last ones, as recent direct measurements and numerical computations prove, are highly variable, thus triggering the errors of ε estimations, which may exceed 50 %. This paper presents an approach to derive the retained information, hidden in the raw along-beam velocities data, which can shed a light on the anisotropy parameters. For this, we developed the inter-beam correlations method, based on the analysis of generalized (fourpoint) SF. The explicit expression for transverse SF was derived, which made it possible to check the “4/3 law” directly. The method was tested by processing velocity data, obtained from the convective mixing layer in ice-covered lakes Onega and Vendyurskoe.

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The authors declare that there are no conflicts of interest present.