The quasi-balanced analytical solution of ocean response to wind stress of tropical cyclone

Zhao Yanling; Deng Bing; Zhang Ming; Liu Saisai; Hu Dong

doi:10.3969/j.issn.0253-4193.2019.06.001

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Zhao Yanling, Deng Bing, Zhang Ming, Liu Saisai, Hu Dong. The quasi-balanced analytical solution of ocean response to wind stress of tropical cyclone[J]. Haiyang Xuebao, 2019, 41(6): 1-11. doi: 10.3969/j.issn.0253-4193.2019.06.001

Citation:

Zhao Yanling, Deng Bing, Zhang Ming, Liu Saisai, Hu Dong. The quasi-balanced analytical solution of ocean response to wind stress of tropical cyclone[J]. Haiyang Xuebao, 2019, 41(6): 1-11. doi: 10.3969/j.issn.0253-4193.2019.06.001

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The quasi-balanced analytical solution of ocean response to wind stress of tropical cyclone

doi: 10.3969/j.issn.0253-4193.2019.06.001

1.
The PLA. 31010 Units, Beijing 100081, China
2.
The Beijing Applied Meteorology Institute, Beijing 100029, China
3.
Meteorological and Oceanographic College, National University of Defense Technology, Nanjing 211101, China

Received Date: 2018-04-11
Rev Recd Date: 2018-10-26

Abstract

Abstract

To research the response of the sea surface to the tropical cyclone (TC) wind stress, the paper researches the ocean linear reduced gravity equations. Here are the conclusions:It's more convenient to use the polar coordinates which move with the typhoon when research the ocean response to the TC wind stress. The TC wind stress is static inside the typhoon cloud wall, decrease with the increase of the radius of the polar coordinates in an inverse proportion outside the cyclone cloud wall. In the polar coordinates, the response has a constant analytical special solution. The strength has a proportional relation with the wind stress. The constant special solution is static inside the cloud wall. It presents a form of a cyclone out the cloud wall. The solution decreases when radius of the polar coordinates increases. At the position which is not far out of the cloud wall, the tangential current is larger than the radial current. The radial current is larger than the tangential current away from the cloud wall. The radial current is balance with the tangential wind stress of TC. The tangential current is a gradient current. The current is horizontal no divergence. Inside the eye of TC and the cloud wall, the thickness of the upper ocean reaches its minimum. Its value won't change. The value increases out the cloud wall. The change of the thickness reflects the change of a pycnocline. At the minimum or small position of the value, the pycnocline evidently increases, which will cause the upwelling of the seawater near the pycnocline. The response cyclone is cold. Ignore the response of the surface to the movement of the tropical cyclone, and move the solution in the polar coordinate to a stable coordinate, the spatial distribution of the solution won't change. The constant special solution changes to an inconstant solution, and moves the tropical cyclone. The most important physical property of the solution is quasi-balanced, which essentially distinguishes from near inertial oscillations and gravitational internal waves.
- tropical cyclone,
- wind stress,
- ocean response,
- quasi-balanced analytical solution,
- reduced gravity model

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