{"title":"Stationary Regimes and Parametrization of Ekman Friction in the Karman Model of Flow Induced by External Vortical Body Force","authors":"S. V. Kostrykin, I. G. Yakushkin","doi":"10.1134/s0001433824700166","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>Using numerical simulation of the Karman model of viscous fluid flow under the action of an external vortex body force, two different stationary modes were extracted and studied in detail: with small (Batchelor regime) and with substantial (Stewartson regime) secondary circulation. The diagram of stationary regimes is plotted in the space of flow parameters—Rossby and small Ekman numbers. For the flow decaying to the stationary one in the Batchelor regime, a theoretical model is proposed based on which a stationary solution to the problem can be obtained, as well as a parameterization of the Ekman friction coefficient, the Ekman pumping velocity, and the stationary pressure in terms of average flow characteristics (vorticity and divergence). For the Stewartson regime, a parameterization of the stationary flow is proposed and a numerical investigation of the decay rate is conducted. The results of the theoretical analysis have been compared with numerical calculations and found to be in good agreement.</p>","PeriodicalId":54911,"journal":{"name":"Izvestiya Atmospheric and Oceanic Physics","volume":"107 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Izvestiya Atmospheric and Oceanic Physics","FirstCategoryId":"89","ListUrlMain":"https://doi.org/10.1134/s0001433824700166","RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"METEOROLOGY & ATMOSPHERIC SCIENCES","Score":null,"Total":0}
引用次数: 0
Abstract
Using numerical simulation of the Karman model of viscous fluid flow under the action of an external vortex body force, two different stationary modes were extracted and studied in detail: with small (Batchelor regime) and with substantial (Stewartson regime) secondary circulation. The diagram of stationary regimes is plotted in the space of flow parameters—Rossby and small Ekman numbers. For the flow decaying to the stationary one in the Batchelor regime, a theoretical model is proposed based on which a stationary solution to the problem can be obtained, as well as a parameterization of the Ekman friction coefficient, the Ekman pumping velocity, and the stationary pressure in terms of average flow characteristics (vorticity and divergence). For the Stewartson regime, a parameterization of the stationary flow is proposed and a numerical investigation of the decay rate is conducted. The results of the theoretical analysis have been compared with numerical calculations and found to be in good agreement.
期刊介绍：
Izvestiya, Atmospheric and Oceanic Physics is a journal that publishes original scientific research and review articles on vital issues in the physics of the Earth’s atmosphere and hydrosphere and climate theory. The journal presents results of recent studies of physical processes in the atmosphere and ocean that control climate, weather, and their changes. These studies have possible practical applications. The journal also gives room to the discussion of results obtained in theoretical and experimental studies in various fields of oceanic and atmospheric physics, such as the dynamics of gas and water media, interaction of the atmosphere with the ocean and land surfaces, turbulence theory, heat balance and radiation processes, remote sensing and optics of both media, natural and man-induced climate changes, and the state of the atmosphere and ocean. The journal publishes papers on research techniques used in both media, current scientific information on domestic and foreign events in the physics of the atmosphere and ocean.
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