本文用单时间尺度及内外层匹配渐近展开法,证明了无粘地转涡解是本文的远离涡心的首项外解,靠近涡心处有一个随时间变化的、尺度为α的粘性涡核结构。其中粘性力(或湍流粘性力)是主要的,速度和大气高度均为有限值分布。并证明了当特征时间分别取为S丨((gh_(00))~(1/2))及S丨α((gh_(00))~(1/2))这两种长时间尺度时,地转涡具有相同的首项内解涡核结构。地转涡中心的运动速度,在精确到O(α)(外解的速度量级)范围,是等于旋涡所在的背景流场速度。本文还给出了一些数值解例子证实了上述结果。 In this paper, we use the single-time scale and inner-outer matching asymptotic expansion method to prove that the vortex solution without viscous transition is the first solution of this paper far away from the vortex center. There is a time-dependent viscosity α Eddy core structure. Among them, the viscous force (or turbulent viscous force) is the main one, and both the velocity and the atmospheric height are finite-value distributions. It is also proved that when the characteristic times are two kinds of long time scales, S 丨 ((gh_ (00)) ~ (1/2)) and S 丨 α ((gh_ (00)) ~ (1/2) The meso-vortex has the same first vortex core structure. Gentle vortex center motion speed, in the accurate to O (α) (the speed of the outer solution) range, is equal to the background vortex flow velocity. Some numerical examples are given to confirm the above results.