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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2012 Volume 24, Number 10, Pages 40–50 (Mi mm3319)

Method of calculation of the magnetic field in magnetohydrodynamic models of the electric arc

E. B. Kulumbaev, T. B. Nikulicheva

Belgorod State National Research University, Belgorod city

Abstract: The computing method of self-induced magnetic field in magnetohydrodynamic models of the electric arc, based on the equation for an induction of a magnetic field is proposed. At testing in a two-dimensional case higher computing efficiency of a method in comparison with other known computing methods of an induction under the law of Biot–Savart and through vector potential is shown. The method permits generalization on a three-dimensional case which is more effective than the method of vector potential.

Keywords: mathematical modelling, electric arc, MHD model, magnetic field.

UDC: 519.6, 537.84

Received: 10.02.2012



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