Similarity of Quasi-Geostrophic Vortices Against the Background of Horizontal Currents with Vertical Shear and General-Type Currents with Barotropic and Baroclinic Components
{"title":"Similarity of Quasi-Geostrophic Vortices Against the Background of Horizontal Currents with Vertical Shear and General-Type Currents with Barotropic and Baroclinic Components","authors":"V. V. Zhmur","doi":"10.1134/s0001437024700012","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>This article continues and generalizes the study “On the Similarity of Quasi-Geostrophic Vortices against the Background of Large-Scale Barotropic Currents” [6] (<i>Oceanology</i>, Zhmur, 2024, in print). In continuation of [6], a similar formulation is considered, but for other types of background currents. In the quasi-geostrophic description for small Rossby numbers, the problem of the evolution of an arbitrarily shaped liquid volume with homogeneous potential vorticity of all vortex core particles in an equidistant background flow—horizontal flow with vertical shear and equidistant flow with barotropic and baroclinic components—is presented. Ultimately, the problem boils down to an integrodifferential equation for the evolution of the vortex core boundary. The study of this equation in dimensionless form makes it possible to find a set of dimensionless parameters that determine the similarity condition of the studied vortices.</p>","PeriodicalId":54692,"journal":{"name":"Oceanology","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Oceanology","FirstCategoryId":"89","ListUrlMain":"https://doi.org/10.1134/s0001437024700012","RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"OCEANOGRAPHY","Score":null,"Total":0}
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Abstract
This article continues and generalizes the study “On the Similarity of Quasi-Geostrophic Vortices against the Background of Large-Scale Barotropic Currents” [6] (Oceanology, Zhmur, 2024, in print). In continuation of [6], a similar formulation is considered, but for other types of background currents. In the quasi-geostrophic description for small Rossby numbers, the problem of the evolution of an arbitrarily shaped liquid volume with homogeneous potential vorticity of all vortex core particles in an equidistant background flow—horizontal flow with vertical shear and equidistant flow with barotropic and baroclinic components—is presented. Ultimately, the problem boils down to an integrodifferential equation for the evolution of the vortex core boundary. The study of this equation in dimensionless form makes it possible to find a set of dimensionless parameters that determine the similarity condition of the studied vortices.
期刊介绍：
Oceanology, founded in 1961, is the leading journal in all areas of the marine sciences. It publishes original papers in all fields of theoretical and experimental research in physical, chemical, biological, geological, and technical oceanology. The journal also offers reviews and information about conferences, symposia, cruises, and other events of interest to the oceanographic community.
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