New Vortex Model Enhances Understanding of Atmospheric Dynamics

A new model for generating axisymmetric concentrated vortices has been introduced by researchers O.G. Onishchenko, S.N. Artekha, F.Z. Feygin, and N.M. Astafieva in their paper titled "Generation Model of a Spatially Limited Vortex in a Stratified Unstable Atmosphere". This model addresses the dynamics of vortices within an unstable stratified atmosphere, which is crucial for understanding various atmospheric phenomena.

The researchers solved a nonlinear equation related to internal gravity waves and analyzed the results within the framework of ideal hydrodynamics. The findings reveal that the radial and vertical velocity components of the vortex are influenced by combinations of Bessel functions and modified Bessel functions. Notably, the model indicates that the maximum vertical velocity occurs at a specific height, with radial flows converging towards the axis below this height and an outflow occurring above it.

The study highlights how the instability in the stratified atmosphere can lead to significant increases in both radial and vertical velocity components, following a hyperbolic sine law that transitions into exponential growth. The characteristic growth time is linked to the inverse growth rate of the instability, providing insights into the formation of vortices with finite velocity components that increase over time.

This research has implications for understanding atmospheric dynamics, which can impact weather patterns and climate models. The ability to model such vortices more accurately may enhance predictive capabilities in meteorology and related fields. The full paper can be accessed at arXiv:2409.02539.