论文部分内容阅读
本文在文献[1]基础上运用多重时间尺度(S/(gh_(00)~(1/2)及αS/(gh_(00)~(1/2))和空间尺度的渐近分析理论,给出了地转涡的内解结构和运动规律。证明了双时间尺度中,地转涡的首项涡核内解是与单时间尺度中的首项内解相等。一级解对短时间尺度变量的平均与单时间尺度分析所得的一级解相等。地转涡除了跟随背景流场一起运动外还作摆动运动。摆动的周期、振幅和偏移依赖于涡核结构及初始条件。涡心运动速度呈周期变化。首项运动速度对短时间尺度变量的平均与当地背景流场速度相等。
Based on the literature [1], this paper uses the asymptotic analysis theory of multiple time scales (S / (gh_ (00) ~ (1/2) and αS / (gh_ (00) The internal solution structure and motion law of the geostrophic vortex are given and it is proved that the first vortex kernel solution of the geostrophic vortex is equal to the first internal solution in the single time scale in the double time scale The average of the scale variables is equal to the one-order solution obtained from the single-time scale analysis.Reversed-eddy-vortex oscillates in addition to moving along with the background flow field.The period, amplitude and offset of the oscillations depend on the vortex core structure and the initial conditions. The rate of heart movement varied periodically, and the average of the first exercise rate for short-term scale variables was equal to the local background flow rate.