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Application of differential equation eigenvalue theory in Ekman's currents

CHEN Xuan;ZHENG Chongwei;WU Xuejian;Unit No.75822 of PLA;Dalian Naval Academy;College of Meteorology and Oceanography,PLA Univ.of Sci.& Tech.;  
To get a more detailed Ekman's currents characteristics under the influence of the vertical turbulent viscosity coefficient as a non-constant,Ekman's currents were analyzed with application of differential equation eigenvalue theory.Combined with the suitable results of numerical methods based on open boundary conditions,it is found that the vertical structure of Ekman flow is closely related to the vertical turbulent viscosity coefficient distributions.Ekman depth and the angle of the surface current to the wind are influenced by the vertical turbulent viscosity coefficient distributions,and the Ekman currents have the characteristics of the distribution of the vertical turbulent viscosity coefficient.Both theoretical and numerical results show that in the different vertical turbulent viscosity coefficient distributions,the Ekman currents have different vertical characteristics,and that the Ekman depths are also different.
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