Forced baroclinic ocean motions. I. The linear equatorial unbounded case
Forced baroclinic ocean motions. I. The linear equatorial unbounded case
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强迫海洋斜压运动。
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通讯作者：
E. Sarachik
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作者：
M. Cane;E. Sarachik
3发展了一种计算无界无粘海洋对风应力和热强迫响应的方法。虽然重点是赤道斜压运动，数学技术首先详细说明了类似的，但更简单的正压涡度方程所描述的运动。这有助于阐明斜压行星模态渐近近似的意义。我们详细描述了在t = 0和稳定之后，是独立的经度或经度的阶跃函数的强迫打开的响应。在赤道附近，对纬向风应力的响应随时间线性增长。对纬向风应力的响应往往不太受赤道限制，并且仅在强迫不连续处表现出长期增长，这种不连续作为涡度的线源。与纬向风应力不同，纬向风应力不能激发赤道开尔文波。浮力源激发重力波的倾向比风应力小，尽管对浮力源的响应在性质上类似于对纬向风的响应。在随后的论文中，边界的影响处理使用本工作中讨论的方法。
3 A method is developed for calculating the response of an unbounded inviscid ocean to wind stress and thermal forcings. Although emphasis is on equatorial baroclinic motions, the mathematical technique is first illustrated in detail for the motions described by the similar but simpler barotropic vorticity equation. This serves to clarify the significance of the asymptotic approximations made for the baroclinic planetary modes. We describe in detail response to forcings switched on at t = 0 and steady thereafter and that are independent of longitude or step functions of longitude. The response to a zonal wind stress grows linearly in time in the vicinity of the equator. The response to a meridional wind stress tends to be less equatorially confined and exhibits secular growth only at a forcing discontinuity, such a discontinuity acting as a line source of vorticity. Unlike a zonal wind stress, a meridional wind stress cannot excite equatorial Kelvin waves. A buoyancy source bas less of a tendency to excite gravity waves than a wind stress, though the response to such a source qualitatively resembles that to a zonal wind. In a subsequent paper, the effects of boundaries are treated using the methods discussed in the present work.