Abstract:
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, transfer equation, helical magnetic field.
Citation:
G. G. Lazareva, I. P. Oksogoeva, A. V. Sudnikov, “Influence of mathematical model parameters on plasma transfer in a helical magnetic field”, Sib. Zh. Ind. Mat., 26:4 (2023), 65–76; J. Appl. Industr. Math., 17:4 (2023), 750–759
\Bibitem{LazOksSud23}
\by G.~G.~Lazareva, I.~P.~Oksogoeva, A.~V.~Sudnikov
\paper Influence of mathematical model parameters on plasma transfer in a helical magnetic field
\jour Sib. Zh. Ind. Mat.
\yr 2023
\vol 26
\issue 4
\pages 65--76
\mathnet{http://mi.mathnet.ru/sjim1261}
\crossref{https://doi.org/10.33048/SIBJIM.2023.26.405}
\transl
\jour J. Appl. Industr. Math.
\yr 2023
\vol 17
\issue 4
\pages 750--759
\crossref{https://doi.org/10.1134/S1990478923040063}
Linking options:
https://www.mathnet.ru/eng/sjim1261
https://www.mathnet.ru/eng/sjim/v26/i4/p65
This publication is cited in the following 1 articles:
G.G. Lazareva, I.P. Oksogoeva, A.V. Sudnikov, “MATHEMATICAL MODELING OF TEMPERATURE EFFECT ON PLASMA TRANSPORT IN A HELICAL MAGNETIC FIELD”, J Appl Mech Tech Phy, 65:6 (2024), 1021
Citation in format AMSBIB
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