hydrophysicsФундаментальная и прикладная гидрофизикаFundamental and Applied Hydrophysics2073-66732782-5221St. Petersburg Research Center of the Russian Academy of Sciences10.59887/2073-6673.2025.18(2)-1AJTHIUhydrophysics-1427Research ArticleФУНДАМЕНТАЛЬНЫЕ ВОПРОСЫ ГИДРОФИЗИКИFUNDAMENTAL ISSUES OF HYDROPHYSICSСравнение методов параметризации турбулентности в модели верхнего слоя океанаComparison of Turbulence Parameterization Methods in an Upper Ocean Layer Modelhttps://orcid.org/0009-0003-7971-7601БухаревА. А.BukharevA. A.

Бухарев Антон Андреевич, инженер

192007, г. Санкт-Петербург, Воронежская ул., д. 79

79 Voronezhskaya Str., St Petersburg, 192007

anton.bukharev@gmail.comhttps://orcid.org/0000-0001-8779-965XБулгаковК. Ю.BulgakovK. Yu.

Булгаков Кирилл Юрьевич, старший научный сотрудник, кандидат физико-математических наук

117997, г. Москва, Нахимовский проспект, д. 36

Scopus AuthorID: 55270509900

WoS ResearcherID: R-7744–2016

36 Nakhimovsky Prosp., Moscow, 117997

bulgakov.kirill@gmail.comРоссийский государственный гидрометеорологический университетРоссияRussian State Hydrometeorological UniversityRussian FederationИнститут океанологии им. П.П. Ширшова РАНРоссияShirshov Institute of Oceanology RASRussian Federation202514072025182818Copyright © Бухарев А.А., Булгаков К.Ю., 20252025Бухарев А.А., Булгаков К.Ю.Bukharev A.A., Bulgakov K.Y.This work is licensed under a Creative Commons Attribution 4.0 License.https://hydrophysics.spbrc.ru/jour/article/view/1427

При моделировании процессов в океане неизбежно встает вопрос об описании турбулентного обмена. На сегодняшний день существует множество способов задания параметризации турбулентности в верхнем слое океана. Рассматриваются наиболее распространенные и утвердившие методы замыкания уравнений гидродинамики через введение кинетической энергии турбулентности и турбулентного пути смешения, и приводится формулировка модели общей циркуляции океана. Проведен ряд экспериментов, в каждом из которых использовались разные комбинации уравнений для параметризации турбулентности, в которых также использовались данные реанализаTheCopernicusGlobal 1/12° OceanicandSeaIce GLORYS12 Reanalysis и HYCOM + NCODA Global 1/12° Reanalysis для описанияадвективных слагаемых в уравнениях для скалярных величин. Сравнение модельных данных проводилось с данными наблюдений, полученными с автоматических морских станций Тихоокеанской морской лаборатории окружающей среды. Показано, что использование более сложных форм записи уравнения кинетической энергии турбулентности, а также дополнительных уравнений для расчета турбулентного пути смешения не приводит к однозначному улучшению результатов. Также показано, что одни и те же комбинации уравнений, могут давать противоположные, с точки зрения качества, результаты.

When modeling processes in the ocean, the issue of describing turbulent exchange inevitably arises. Today, there are numerous methods for parameterizing turbulence in the upper layer of the ocean. The most common and established closure methods for hydrodynamic equations are considered by introducing turbulent kinetic energy and turbulent mixing length, and a formulation of the ocean general circulation model is provided. A series of experiments were conducted, each using different combinations of equations for turbulence parameterization, which also utilized data from The Copernicus Global 1/12° Oceanic and Sea Ice GLORYS12 Reanalysis and HYCOM + NCODA Global 1/12° Reanalysis to describe the advective components of scalar quantities. The comparison of model data was made with observational data obtained from automatic marine stations of the Pacific Marine Environmental Laboratory. It is shown that using more complex forms of the turbulent kinetic energy equation, as well as additional equations for calculating the turbulent mixing length, does not lead to unambiguous improvements in results. It is also shown that the same combinations of equations can yield opposite results in terms of quality.

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