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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2021 Volume 61, Number 9, Pages 1556–1570 (Mi zvmmf11295)

Mathematical physics

Mathematical model of a magnetic tornado

M. B. Gavrikov, A. A. Tayurskiy

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

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.

Key words: magnetic tornado, magnetic antitornado, cyclone, anticyclone, relaxation method.

UDC: 517.95

Received: 04.09.2020
Revised: 27.02.2021
Accepted: 09.04.2021

DOI: 10.31857/S004446692109009X


 English version:
Computational Mathematics and Mathematical Physics, 2021, 61:9, 1532–1545

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© Steklov Math. Inst. of RAS, 2024