  For the mathematical modeling of highly non-equilibrium and nonlinear
processes in a tornado in this paper a new approach based on nonlinear
equations of momentum transfer with function of sources and sinks is suggested.
In constructing the model thermodynamic description is used, which is not
entered before and allows discovering new principles of self-organization in a
tornado. This approach gives fairly consistent physical results. This is an
attempt to answer some fundamental questions concerning the existence of a
tornado based on the created model and numerical results.
