Geodesic
Method of calculation of the magnetic field in magnetohydrodynamic models of the electric arc
Matematičeskoe modelirovanie, Tome 24 (2012) no. 10, pp. 40-50

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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. 
@article{MM_2012_24_10_a3,
     author = {E. B. Kulumbaev and T. B. Nikulicheva},
     title = {Method of calculation of the magnetic field in magnetohydrodynamic models of the electric arc},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {40--50},
     publisher = {mathdoc},
     volume = {24},
     number = {10},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2012_24_10_a3/}
}
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E. B. Kulumbaev; T. B. Nikulicheva. Method of calculation of the magnetic field in magnetohydrodynamic models of the electric arc. Matematičeskoe modelirovanie, Tome 24 (2012) no. 10, pp. 40-50. http://geodesic.mathdoc.fr/item/MM_2012_24_10_a3/