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KIAM Preprint  42, Moscow, 2019
Authors: Gavrikov M. B., Tayurskiy A.A.
Simple mathematical model of tornado
Abstract:
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.
Keywords:
mathematical model of tornado, Coriolis force, vortex motion, method of establishment
Publication language: russian,  pages: 34
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Gavrikov Mikhail Borisovich,  orcid.org/0000-0001-7165-8318KIAM RAS
  • Tayurskiy Aleksei Aleksandrovich,  orcid.org/0000-0001-6027-5119KIAM RAS