Derivation of the thermal characteristics of mesoscale eddies
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摘要: 为了从理论上解释中尺度涡旋冷暖性质与涡旋旋转方向的关系,本文基于中尺度涡的几何特征,做出如下假设:中尺度涡具有对称的几何形态,涡旋中海洋要素沿径向具有线性化变化的特征。从原始方程组出发,利用柱坐标系和上述假设条件,略去耗散力,推导出了中尺度涡的一些冷暖特征,论证气旋式中尺度涡对应冷涡和反气旋式中尺度涡对应暖涡的涡旋冷暖特征与部分涡旋的观测不符的现象。结果表明,中心对称的形式可以作为对中尺度涡的几何特征的一个理想的形态近似,在考虑上述假设条件的理想环境下,柱坐标系在研究中尺度涡的几何性质上具有一定的优势。Abstract: This study aims at explaining the relationship between thermodynamic characteristics and direction of rotation of mesoscale eddies (MEs). The geometric characteristics of the MEs are under the following assumptions:the structure of the MEs is symmetrical, and changes of oceanic physical variables are close to linear features in the radial direction in the ME regions. Based on these assumptions, by using primitive equations without friction under a cylindrical coordinate system, the thermodynamic characteristics of the MEs are derived, showing that the conventional relationship of warm anticyclonic eddies with high sea surface height (SSH) and cold cyclonic eddies with low SSH is not consistent with the SSH and sea surface temperature (SST) observations of eddies. The results show that the symmetrical form is an ideal approximation for the geometric characteristics of MEs. In consideration of the above assumptions, there are advantages for derivation of the characteristics of the MEs under a cylindrical coordinate.
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Key words:
- mesoscale eddies /
- thermodynamic characteristics /
- symmetry
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