Geodesic
Influence of mathematical model parameters on plasma transfer in a helical magnetic field
Sibirskij žurnal industrialʹnoj matematiki, Tome 26 (2023) no. 4, pp. 65-76

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The paper presents the results of mathematical modeling of plasma transfer in a helical magnetic field using new experimental data obtained at the SMOLA trap created at the Budker Institute of Nuclear Physics of the Siberian Branch of the Russian Academy of Sciences. Plasma is confined in the trap by transmitting a pulse of magnetic field with helical symmetry to the rotating plasma. The mathematical model is based on a stationary plasma transfer equation in the axially symmetric formulation. The distribution of the concentration of the substance obtained by numerical simulation confirmed the confinement effect obtained in the experiment. The dependences of the integral characteristics of the substance on the depth of magnetic field corrugation and on plasma diffusion and potential are obtained. The numerical implementations of the model by the relaxation method and by the method of successive overrelaxation (Seidel method) are compared.
Keywords: mathematical modeling, helical magnetic field.
Mots-clés : transfer equation 
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     author = {G. G. Lazareva and I. P. Oksogoeva and A. V. Sudnikov},
     title = {Influence of mathematical model parameters on plasma transfer in a helical magnetic field},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {65--76},
     publisher = {mathdoc},
     volume = {26},
     number = {4},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2023_26_4_a4/}
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G. G. Lazareva; I. P. Oksogoeva; A. V. Sudnikov. Influence of mathematical model parameters on plasma transfer in a helical magnetic field. Sibirskij žurnal industrialʹnoj matematiki, Tome 26 (2023) no. 4, pp. 65-76. http://geodesic.mathdoc.fr/item/SJIM_2023_26_4_a4/