The paper proposes a mathematical model of tornado, based on the apparatus of continuum mechanics, according to which swirling flows of ascending air in a tornado take place without taking into account Coriolis force and vertical convection of warm air. According to the results obtained, the necessary conditions for the occurrence of a tornado are the presence of a powerful vortex motion in the upper atmosphere and an increase in air pressure with distance from the center of the tornado. Finding the parameters of air currents in a tornado reduces to solving a boundary value problem for a nonlinear parabolic integro-differential equation obtained in the work with respect to a complex “temperature”. An algorithm for solving the specified boundary value problem is proposed and its stationary solutions are investigated numerically by the method of establishment.
mathematical model of tornado, Coriolis force, vortex motion, method of establishment
Publication language:russian, pages:34
Mathematical modelling in actual problems of science and technics