The motion of a non-isolated vortex on the beta-plane
The motion of a non-isolated vortex on the beta-plane
复制标题
β 平面上非孤立涡旋的运动
DOI：
10.1017/s0022112097006290
复制
发表时间：
1997
影响因子：
3.7
通讯作者：
S. G. L. Smith
中科院分区：
文献类型：
--
作者：
S. G. L. Smith
β 平面上非孤立单极子的轨迹计算为涡旋强度与 β 效应之比的渐近展开式。匹配渐近展开的方法用于求解两个流动区域中的运动方程：在近场中，β 效应作为相对涡度的一阶强迫进入；在波场中，β 效应与相对涡度变化率之间的主要平衡是线性平衡。计算高斯和朗肯涡旋的结果轨迹。
The trajectory of a non-isolated monopole on the beta-plane is calculated as an asymptotic expansion in the ratio of the strength of the vortex to the beta-effect. The method of matched asymptotic expansions is used to solve the equations of motion in two regions of the flow: a near field where the beta-effect enters as a first-order forcing in relative vorticity, and a wave field in which the dominant balance is a linear one between the beta-effect and the rate of change of relative vorticity. The resulting trajectory is computed for Gaussian and Rankine vortices.