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Mathematical Model of a Magnetic Tornado

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Abstract

A mathematical model of a magnetic tornado in a magnetohydrodynamic plasma, based on the apparatus of continuum mechanics and Maxwell’s electrodynamics, is proposed. In the context of two specific examples, the mutual influence of plasma and magnetic field dynamics, which gives rise to a magnetic tornado, is studied. Of particular interest is the interaction of a plasma and a magnetic field when an ideal plasma moves along the magnetic field lines. In this case, the study of a magnetic tornado is reduced to a purely hydrodynamic case of a tornado in atmospheric air. The numerical results obtained give theoretical confirmation of the existence of vortical formations observed in the chromosphere of the solar plasma, identified with a magnetic super-tornado.

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Funding

This work was supported by the Moscow Center for Fundamental and Applied Mathematics, agreement with the Ministry of Science and Higher Education of the Russian Federation no. 075-15-2019-1623.

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia

    M. B. Gavrikov & A. A. Tayurskii

Authors
  1. M. B. Gavrikov
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  2. A. A. Tayurskii
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Correspondence to M. B. Gavrikov or A. A. Tayurskii.

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Translated by E. Chernokozhin

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Gavrikov, M.B., Tayurskii, A.A. Mathematical Model of a Magnetic Tornado. Comput. Math. and Math. Phys. 61, 1532–1545 (2021). https://doi.org/10.1134/S0965542521090086

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  • DOI: https://doi.org/10.1134/S0965542521090086

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