论文标题
旋转球体上的点涡流动力学和全球大气涡流的建模
Point vortices dynamics on a rotating sphere and modeling of global atmospheric vortices interaction
论文作者
论文摘要
结果表明，与一对抗死涡旋-APV的流函数满足了薄球液层的流体动力学方程，而与具有均匀相反符号涡流的背景的单点涡流的流函数相反。绝对涡度保守方程的简单零解用于绕过与常规涡度场相互作用的众所周知的非线性问题，并获得了旋转球体上APVS动力学问题的精确解决方案。因此，获得了用于APV动力学的新的稳定固定解决方案，该解决方案可以模拟全局涡流结构的动力学，例如大气的作用中心。
It is shown that the hydrodynamics equations for a thin spherical liquid layer are satisfied by the stream function of a pair of antipodal vortices-APV, in contrast to the stream function of a single point vortex on a sphere with a background of a uniform opposite sign vorticity. A simple zero solution of the equation of the absolute vorticity conservation is used for bypassing well-known nonlinear problem of a point vortices interaction with regular vorticity field and an exact solution for APVs dynamics problem on a rotating sphere is obtained. Due to this a new stable stationary solution for the dynamics of APV is obtained, which can model the dynamics of the global vortex structures such as atmospheric centers of action.
