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Near-inertial Waves On The Horizontal Component Of The Earth's Rotation And ? Effect

Posted on:2020-02-17Degree:MasterType:Thesis
Country:ChinaCandidate:S X LiuFull Text:PDF
GTID:2370330590959747Subject:Mathematics
Abstract/Summary:PDF Full Text Request
Near-inertial waves generated by atmospheric disturbances are ubiquitous in the ocean and atmosphere.The study of near inertia is an important branch of atmospheric dynamics.Near-inertial wave theory is based on the theory of geostrophic adaptation,and near-inertial wave has an important influence on atmospheric long wave.In recent years,the horizontal component of the earth's rotation has attracted great attention in many geophysical fluid dynamics studies.For the study of dynamic meteorology,the analysis of latitudinal momentum balance scale shows that it is advisable to retain the horizontal component of the Earth's rotation in planetary scale atmospheric motion,while the? effect has a great influence on the discussion and study of near-inertial waves.Therefore,the horizontal component and ? effect of the earth's rotation should be taken into account when studying the motion law of near-inertial waves,so that the research results of near-inertial waves are more practical.In this thesic,the effects of horizontal components and ? effects of the earth's rotation on the propagation of near-inertial waves are studied.For Kelvin wave,the Boussinesq governing equation is first introduced,and its dispersion relation is obtained by deducing and sorting out.Secondly,the basic equations of atmospheric motion are introduced,and the amplitude equation of Kelvin wave is obtained by using WKB method.For Rossby wave,inertial gravity wave and mixed Rossby gravity wave,the wave propagation equation is also obtained based on the Boussinesq governing equation by using the orthogonal mode method;At the same time,the dispersion relation and the equation satisfied by propagation in ? plane mode are discussed,and the mixed Rossby gravity wave is analyzed concretely.In the f plane,the equations and wave solutions of propagation are discussed.
Keywords/Search Tags:horizontal component of the earth rotation, ? effect, Boussinesq equation, dispersion relation
PDF Full Text Request
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