The method of parallelizing a numerical solution of the complete system of Navier - Stokes equations is used to describe three-dimensional unsteady flows of a viscous compressible heat-conducting gas in ascending swirling flows. In this case, the action of gravity and Coriolis forces is taken into account, the coefficients of viscosity and thermal conductivity are assumed to be constant. The results of numerical calculations of the thermodynamic characteristics of flows on smaller computational grids are presented in simulation of the output to the stationary mode of an ascending swirling air flow in an artificially created tornado. We numerically determined the values of density, temperature, and pressure for various fixed times and for different heights of the calculated region. The research shows that in the process of accelerating the gas flow in the center of vertical region a funnel-shaped region with reduced values of density, temperature, and pressure is observed.