Vortex hydrodynamics: a new approach to modeling geosystems

Using a mathematical apparatus based on the system of Navier-Stokes equations, it is difficult to describe vortex (circular) patterns formed under the action of gravitational field in all geospheres of our planet. The paper presents a new mathematical apparatus of vortex fluid dynamics (CFD) software, which allows us to adequately describe these patterns and get a deeper understanding of their essence. Based on the analysis of the proposed system of equations and the results of a number of model problems, generalizations are made on some physical processes and phenomena prevalent in different geospheres of the Earth.