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The effects of vertical viscosity coefficients with different distribution characteristics on classical Ekman spiral structure
作者姓名:MA HongYu  QIAO FangLi & DAI DeJun
基金项目:supported by the National Natural Science Foundation of China(Grant No.40876015);the Project of Comprehensive Evaluation of Polar Areas on Global and Regional Climate Changes(Grant No.CHINARE2012-04-04)
摘    要:The classical Ekman theory tells us that the ocean surface current turns to the right(left) side of wind direction with 45° in the north(south) hemisphere,but the observation and research results show that the surface current deflexion angle is smaller than 45° in the Arctic and high latitude areas while larger than 45° in the low latitude areas.In order to explain these phenomena,a series of idealized numerical experiments are designed to investigate the influence of vertical viscosity coefficients with different vertical distribution characteristics on the classical and steady Ekman spiral structure.Results show that when the vertical viscosity coefficient decreases with water depth,the surface current deflexion angle is larger than 45°,whereas the angle is smaller than 45° when the vertical viscosity coefficient increases with water depth.So the different observed surface current deflexion angles in low latitude sea areas and the Arctic regions should be attributed to the different vertical distribution characteristics of vertical viscosity coefficients in the upper ocean.The flatness of the Ekman spiral is not equal to one and does not show regular behaviors for the numerical experiments with different distribution of vertical viscosity.However,the magnitudes and directions of volume transport of Ekman spirals are almost the same as the results of classical Ekman theory,i.e.,vertical viscosity coefficient distributions have no effect on the magnitudes and directions of volume transport.


The effects of vertical viscosity coefficients with different distribution characteristics on classical Ekman spiral structure
MA HongYu,QIAO FangLi & DAI DeJun.The effects of vertical viscosity coefficients with different distribution characteristics on classical Ekman spiral structure[J].Science China Earth Sciences,2014,57(4):693-702.
Authors:HongYu Ma  FangLi Qiao  DeJun Dai
Institution:1. College of Physical and Environmental Oceanography, Ocean University of China, Qingdao, 266100, China
2. First Institute of Oceanography, State Oceanic Administration, Qingdao, 266061, China
3. Key Lab of Marine Science and Numerical Modeling, State Oceanic Administration, Qingdao, 266061, China
Abstract:The classical Ekman theory tells us that the ocean surface current turns to the right (left) side of wind direction with 45° in the north (south) hemisphere, but the observation and research results show that the surface current deflexion angle is smaller than 45° in the Arctic and high latitude areas while larger than 45° in the low latitude areas. In order to explain these phenomena, a series of idealized numerical experiments are designed to investigate the influence of vertical viscosity coefficients with different vertical distribution characteristics on the classical and steady Ekman spiral structure. Results show that when the vertical viscosity coefficient decreases with water depth, the surface current deflexion angle is larger than 45°, whereas the angle is smaller than 45° when the vertical viscosity coefficient increases with water depth. So the different observed surface current deflexion angles in low latitude sea areas and the Arctic regions should be attributed to the different vertical distribution characteristics of vertical viscosity coefficients in the upper ocean. The flatness of the Ekman spiral is not equal to one and does not show regular behaviors for the numerical experiments with different distribution of vertical viscosity. However, the magnitudes and directions of volume transport of Ekman spirals are almost the same as the results of classical Ekman theory, i.e., vertical viscosity coefficient distributions have no effect on the magnitudes and directions of volume transport.
Keywords:Ekman spiral structure  vertical viscosity coefficient distribution  surface current deflexion angle  numerical experiment
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