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In this paper, we study baroclinic waves from both the experimental and the theoretical perspective. We obtain data from a rotating annulus experiment capable of producing a series of baroclinic eddies similar to those found in the mid-latitude atmosphere. We analyze the experimental outputs using two methods. First, we apply a technique that involves filtering data using the empirical orthogonal function (EOF) analysis, which is applied to both velocity and surface temperature fields. The second method relies on the construction of a simple kinematic model based on key parameters derived from the experimental data. To analyze eddy-driven fluid transport, we apply the method of Lagrangian descriptors to the underlying velocity field, revealing the attracting material curves that act as transport barriers in the system. These structures effectively capture the essential characteristics of the baroclinic flow and the associated transport phenomena. Our results show that these barriers are in good agreement with the transport patterns observed in the rotating annulus experiment. In particular, we observe that the structures obtained from the kinematic model, or the one derived in terms of filtered velocities, perform well in this regard.
In this paper, we study baroclinic waves from both the experimental and the theoretical perspective. We obtain data from a rotating annulus experiment capable of producing a series of baroclinic eddies similar to those found in the mid-latitude atmosphere. We analyze the experimental outputs using two methods. First, we apply a technique that involves filtering data using the empirical orthogonal function (EOF) analysis, which is applied to both velocity and surface temperature fields. The second method relies on the construction of a simple kinematic model based on key parameters derived from the experimental data. To analyze eddy-driven fluid transport, we apply the method of Lagrangian descriptors to the underlying velocity field, revealing the attracting material curves that act as transport barriers in the system. These structures effectively capture the essential characteristics of the baroclinic flow and the associated transport phenomena. Our results show that these barriers are in good agreement with the transport patterns observed in the rotating annulus experiment. In particular, we observe that the structures obtained from the kinematic model, or the one derived in terms of filtered velocities, perform well in this regard.
Abstract. The results of experimental and numerical modeling of Arctic warming in a laboratory dishpan configuration are presented. The Arctic warming is reproduced by varying the size of a local cooler in the “atmospheric” regime, in which the flow structure is similar to the general atmospheric circulation. The laboratory Arctic warming results in a relatively weak response of the meridional and zonal circulation except in the polar region, where the polar-cell analog becomes weaker, shifts closer to the middle radii, and is mainly located in the upper layer. The structure of analogs of Hadley and Ferrel cells is the same for all considered configurations. The decrease in the velocity of the zonal flow (analog of westerly wind) and the change in baroclinic wave activity at laboratory middle latitudes was less than 10 %. The most important result of this study is a noticeable transformation of the mean temperature field. Namely, the central region and most of the lower layer become warmer, while most of the upper layer and the peripheral (equatorial) part of the lower layer become colder. The nature of this phenomenon is closely related to the changes in radial heat fluxes. The weakening and upward shift in the polar-cell analog caused by laboratory Arctic warming provides a significant reduction in the negative heat flux near the bottom. This inevitably leads to a temperature increase in the bottom layer. It is also shown that Ekman pumping due to non-slip boundary conditions at the surface of the cooler has a strong influence on the structure and intensity of the polar-cell analog.
Представлены первые результаты математического моделирования в постановке, приближенной к новой лабораторной модели общей циркуляции атмосферы. Рассматривается вращающийся слой жидкости с малым аспектным отношением при наличии локализованного кольцевого нагревателя, расположенного на периферии дна, и холодильника в форме диска, который находится в центральной части верхней границы слоя. Кольцевой нагреватель имитирует нагрев в области экватора, а холодильникохлаждение в полярной области. Нагреватель отодвинут от боковой стенки для минимизации ее влияния на формирование течений. В верхней части слоя жидкости реализуются зональные течения (аналоги восточных и западных ветров), характерные для экваториальной области. Получено хорошее качественное согласование экспериментальных и численных результатов. Основной целью проведенных расчетов было определение средней структуры течений в осесимметричном и волновом режимах. Обнаружено, что в осесимметричном режиме реализуется меридиональная циркуляция аналогичная циркуляции Хэдли со сравнительно низким уровнем пульсаций скорости. Увеличение скорости вращения приводит к формированию неустойчивых бароклинных волн и существенному изменению структуры меридиональной циркуляции. Интенсивность и структура бароклинных волновых движений в значительной степени обуславливается интенсивностью нагрева. Впервые показано, что в лабораторной модели при относительно малом значении термического числа Россби возможна реализация меридиональной циркуляции со структурой, подобной общей циркуляции атмосферы, состоящей из аналогов ячейки Хэдли, ячейки Ферреля и полярной ячейки. Это подтверждает перспективность использования новой лабораторной модели общей циркуляции атмосферы для выявления ключевых факторов, определяющих структуру и динамику крупномасштабных атмосферных течений.
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