Study Molding of Vortex state in the Atmosphere

Abstract

The Earth's atmosphere as a whole has a very complex system of movements that changes over time. The main features of these movements are repeated from year to year and are well displayed on average and climatic maps, which are the starting point for conclusions about the general circulation of the atmosphere. So it is known that the movement of the atmosphere has a vortex character. There are basic states of three-dimensional vortex motion, in which low pressure convergence leads to an upward motion, and high pressure divergence leads to a downward flow in a vortex motion (tornado). These states of the three -dimensional velocity field can be described using the expansion of the convection velocity in terms of stream and potential functions, which describe the spiral structures of this movement. In this paper, simple partial differential equations are introduced that satisfy the ground state of three-dimensional vortex motion. It is also shown that when Re → ∞, the vortex motion degenerates into geostrophic wind, and the corresponding state of vortex motion is replaced by the geostrophic state.