hydrophysicsФундаментальная и прикладная гидрофизикаFundamental and Applied Hydrophysics2073-66732782-5221St. Petersburg Research Center of the Russian Academy of Sciences10.7868/S2073667318020028hydrophysics-749Research ArticleГИДРОФИЗИЧЕСКИЕ И БИОГЕОХИМИЧЕСКИЕ ПОЛЯ И ПРОЦЕССЫHYDROPHYSICAL AND BIOGEOCHEMICAL FIELDS AND PROCESSESКластеризация плавающих частиц из-за субмезомасштабной динамики: модельное исследование для Финского залива Балтийского моряClustering of floating particles due to submesoscale dynamics: a simulation study for the Gulf of Finland, Baltic SeaВялиГ.VäliG.

Таллин

Tallinn

germo.vali@msi.ttu.eeЖурбасВ. М.ZhurbasV. M.

Москва

Moscow

ЛаанеметсЯ.LaanemetsJ.

Таллин

Tallinn

ЛипсУ.LipsU.

Таллин

Tallinn

Таллинский технический университетЭстонияTallinn University of Technology, Department of Marine SystemsEstoniaИнститут океанологии им. П.П. Ширшова РАНРоссияShirshov Institute of OceanologyRussian Federation2018161120221122135Copyright © Вяли Г., Журбас В.М., Лаанеметс Я., Липс У., 20222022Вяли Г., Журбас В.М., Лаанеметс Я., Липс У.Väli G., Zhurbas V.M., Laanemets J., Lips U.This work is licensed under a Creative Commons Attribution 4.0 License.https://hydrophysics.spbrc.ru/jour/article/view/749

Поле скорости, симулируемое моделью циркуляции с чрезвычайно высоким горизонтальным разрешением (шаг сетки 232×232 м) в Финском заливе в течение летних событий апвеллинга, используется для расчета адвекции плавающих лагранжевых частиц, равномерно распределенных на поверхности моря первоначально. Обнаружено, что в течение относительно короткого времени адвекции τ (порядка одного дня) частицы собираются в узких удлиненных полосах, характеризующихся чрезвычайно высокими положительными значениями завихренности, конечно-временного показателя Ляпунова и горизонтальных термохалинных градиентов (фронты). Скорость кластеризации, определяемая как временная производная стандартного отклонения нормализованной концентрации частиц, при малом значении τ асимптотически стремится к стандартному отклонению дивергенции скорости течения на поверхности. Стандартное отклонение дивергенции скорости, в свою очередь, демонстрирует значительный рост с уменьшением шага сетки, подтверждая первостепенную роль субмезомасштабной динамики в кластеризации плавающего материала. Показано, что при большом значении τ функция плотности вероятности концентрации плавающих частиц стремится к логнормальности. На основе интегрирования конвергенции скорости по траектории материальной частицы назад по времени, сформулирован критерий кластеризации за конечный промежуток времени.

Velocity field simulated by a circulation model with extremely high horizontal resolution (the grid bin is 232×232 m) in the Gulf of Finland during a period of summer upwelling events is used to calculate advection of floating Lagrangian particles that are uniformly distributed on the sea surface initially. For a relatively short time of advection τ (of the order of one day), the particles are found to gather within narrow, elongated stripes characterized by extremely high, positive values of vorticity, Finite-Time Lyapunov Exponent, and lateral thermohaline gradients module (fronts). The clustering rate, defined as the time derivative of the standard deviation of normalized particle concentration, tends asymptotically at small τ to the standard deviation of flow divergence. The standard deviation of flow divergence, in its turn, displays a considerable growth with the refinement of the model grid, confirming the paramount role of submesoscale dynamics in clustering of floating stuff. At large τ, the probability density function of floating particle concentration is shown to tend to lognormality. Based on the backward-time integration of the Lagrangian velocity convergence, a criterion for finite-time clustering is introduced.

плавающие частицылагранжевы когерентные структурыконечно-временной показатель Ляпуновакластеризацияприбрежный апвеллингБалтийское моресубмезомасштабfloating particlesLagrangian Coherent StructuresFinite-Time Lyapunov Exponentclusteringcoastal upwellingBaltic SeasubmesoscaleThis work was supported by institutional research funding IUT 19-6 of the Estonian Ministry of Education and Research. Victor Zhurbas was supported by the state assignment of FASO Russia (theme No 0149-2018-0002). The parallel implementation of the original POM was done by Dr. Antoni Jordi and is documented in Jordi & Wang (2012). An allocation of computing time from the High Performance Computing cluster at the Tallinn University of Technology is gratefully acknowledged.ReferencesThomas L. N., Tandon A., Mahadevan A. Submesoscale Processes and Dynamics. In Hecht, M.W., Hasumi, H. (Eds.) 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The authors declare that there are no conflicts of interest present.