{"title":"地形上近临界自由表面旋转流","authors":"G. G. Vilenski, E. Johnson","doi":"10.1098/rspa.2004.1317","DOIUrl":null,"url":null,"abstract":"Free–surface rotating flow over localized topography is studied in the weakly three–dimensional nonlinear long–wave dispersive limit. The analysis is based on the forced rotating Kadomtsev–Petviashvili (frKP) equation. For small forcing, steady supercritical flow is described analytically. Finite–amplitude topographic effects are described numerically for both supercritical and subcritical flows. The pressure drag on the flow is described as a function of obstacle height, Rossby number and the detuning parameter measuring the difference between the flow speed and that of linear long gravity waves.","PeriodicalId":20722,"journal":{"name":"Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2004-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Near-critical free-surface rotating flow over topography\",\"authors\":\"G. G. Vilenski, E. Johnson\",\"doi\":\"10.1098/rspa.2004.1317\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Free–surface rotating flow over localized topography is studied in the weakly three–dimensional nonlinear long–wave dispersive limit. The analysis is based on the forced rotating Kadomtsev–Petviashvili (frKP) equation. For small forcing, steady supercritical flow is described analytically. Finite–amplitude topographic effects are described numerically for both supercritical and subcritical flows. The pressure drag on the flow is described as a function of obstacle height, Rossby number and the detuning parameter measuring the difference between the flow speed and that of linear long gravity waves.\",\"PeriodicalId\":20722,\"journal\":{\"name\":\"Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-10-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1098/rspa.2004.1317\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1098/rspa.2004.1317","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Near-critical free-surface rotating flow over topography
Free–surface rotating flow over localized topography is studied in the weakly three–dimensional nonlinear long–wave dispersive limit. The analysis is based on the forced rotating Kadomtsev–Petviashvili (frKP) equation. For small forcing, steady supercritical flow is described analytically. Finite–amplitude topographic effects are described numerically for both supercritical and subcritical flows. The pressure drag on the flow is described as a function of obstacle height, Rossby number and the detuning parameter measuring the difference between the flow speed and that of linear long gravity waves.
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