Vortex Motion on a Sphere
Vortex Motion on a Sphere
复制标题
球体上的涡运动
DOI：
10.1007/978-1-4684-9290-3_4
复制
发表时间：
2001
影响因子：
1.7
通讯作者：
P. Newton
中科院分区：
文献类型：
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作者：
P. Newton
n点涡在球面上运动的问题并不像相应的平面问题那样容易理解，但在某种意义上它更普遍，因为平面问题可以由球面问题在球面半径变大的极限下得到。这个限制将在本章后面更详细地讨论。球体模型用于地球物理流体动力学，用于考虑具有连贯结构的大规模大气和海洋流动，这些流动持续很长时间，并且移动距离如此之大，以至于地球表面的球形几何形状变得重要。此外，当考虑由给定涡度场产生的流线模式时，如果想要做出与大气天气模式相关的陈述，则必须考虑球面几何形状。这些问题将在本章后面讨论。关于地球物理流体动力学的一般介绍，见Pedlosky（1987）或Gill（1982）。
The problem of N-point vortices moving on the surface of a sphere is not as well understood as the corresponding planar problem, yet in some sense it is more general, since the planar problem can be obtained from the spherical problem in the limit as the radius of the sphere becomes large. This limit will be discussed in more detail later in the chapter. The spherical model is used in geophysical fluid dynamics when considering large-scale atmospheric and oceanographic flows with coherent structures that persist over long periods of time and move over such large distances that the spherical geometry of the earth’s surface becomes important. In addition, when considering the streamline patterns generated by a given vorticity field, the spherical geometry is important to take into account if one wants to make statements that are relevant to atmospheric weather patterns. These issues are discussed later in the chapter. For a general introduction to geophysical fluid dynamics, see Pedlosky (1987) or Gill (1982).