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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2023 Volume 26, Number 4, Pages 65–76 (Mi sjim1261)

Influence of mathematical model parameters on plasma transfer in a helical magnetic field

G. G. Lazarevaa, I. P. Oksogoevaa, A. V. Sudnikovb

a RUDN University, Moscow, 117198 Russia
b Budker Institute of Nuclear Physics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia

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.

UDC: 519.63

Received: 16.05.2023
Revised: 17.10.2023
Accepted: 01.11.2023

DOI: 10.33048/SIBJIM.2023.26.405


 English version:
Journal of Applied and Industrial Mathematics, 2023, 17:4, 750–759


© Steklov Math. Inst. of RAS, 2024