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.

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{SJIM_2023_26_4_a4,
     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/}
}
TY  - JOUR
AU  - G. G. Lazareva
AU  - I. P. Oksogoeva
AU  - A. V. Sudnikov
TI  - Influence of mathematical model parameters on plasma transfer in a helical magnetic field
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2023
SP  - 65
EP  - 76
VL  - 26
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2023_26_4_a4/
LA  - ru
ID  - SJIM_2023_26_4_a4
ER  - 
%0 Journal Article
%A G. G. Lazareva
%A I. P. Oksogoeva
%A A. V. Sudnikov
%T Influence of mathematical model parameters on plasma transfer in a helical magnetic field
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2023
%P 65-76
%V 26
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2023_26_4_a4/
%G ru
%F SJIM_2023_26_4_a4
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/

[1] A. A. Skovoroda, Magnetic Traps for Plasma Confinement, Fizmatlit, M., 2019 (in Russian)

[2] Linsmeier C., Unterberg B., Coenen J. W., Doerner R. P., Greuner H., Kreter A., Maier H., “Material testing facilities and programs for plasma-facing component testing”, Nucl. Fusion, 57:9 (2017), 092012 | DOI

[3] Forest C. B., Flanagan K., Brookhart M., Clark M., Cooper C. M., Dsangles V., Egedal J., Endrizzi D., Khalzov I. V., Li H., Miesch M., Milhone J., Nornberg M., Olson J., Peterson E., Roesler F., Schekochihin A., Schmitz O., Siller R, Spitkovsky A., Stemo A., Wallace J., Weisberg D., Zweibel E., “The Wisconsin Plasma Astrophysics Laboratory”, J. Plasma Phys., 81:5 (2015), 345810501 | DOI

[4] Lawson J. D., “Some Criteria for a Power Producing Thermonuclear Reactor”, Proc. Phys. Soc., 70:1 (1957), 6–10 | DOI

[5] A. V. Burdakov and V. V. Postupaev, “Multiple-mirror trap: A path from Budker magnetic mirrors to linear fusion reactor”, Phys. — Usp., 61:6 (2018), 582–600 | DOI | DOI

[6] Bagryansky P. A., Beklemishev A. D., Postupaev V. V., “Encouraging Results and New Ideas for Fusion in Linear Traps”, J. Fusion Energy, 38 (2019), 162–181 | DOI

[7] Beklemishev A. D., “Helicoidal System for Axial Plasma Pumping in Linear Traps”, Fusion Sci. Technol., 63:1 (2013), 355–357 | DOI

[8] Postupaev V. V., Sudnikov A. V., Beklemishev A. D., Ivanov I. A., “Helical mirrors for active plasma flow suppression in linear magnetic traps”, Fusion Eng. Des., 106 (2016), 29–31 | DOI

[9] Sudnikov A. V., Ivanov I. A., Inzhevatkina A. A., Larichkin M. V., Lomov K. A., Postupaev V. V., Tolkachev M. S., Ustyuzhanin V. O., “Plasma flow suppression by the linear helical mirror system”, J. Plasma Phys., 88:1 (2022), 905880102 | DOI

[10] Beklemishev A. D., “Radial and axial transport in trap sections with helical corrugation”, AIP Conf. Proc., 1771 (2016), 040006 | DOI

[11] Lazareva G. G., Oksogoeva I. P., Sudnikov A. V., “Mathematical Modeling of Plasma Transport in a Helical Magnetic Field”, Lobachevskii J. Math., 43:10 (2022), 2685–2691 | DOI | MR | Zbl

[12] A. A. Samarskii and A. L. Gulin, Numerical Methods, Nauka, M., 1989 (in Russian)

[13] V. M. Volkov and E. V. Prokonina, “Difference schemes and iteration methods for multidimensional elliptic equations with mixed derivatives”, Izv. NAN Belarusi. Ser. Fiz.-Mat. Nauk, 54:4 (2018), 454–459 (in Russian) | DOI | DOI | MR

[14] Sudnikov A. V., Beklemishev A. D., Postupaev V. V., Burdakov A. V., Ivanov I. A., Vasilyeva N. G., Kuklin K. N., Sidorov E. N., “SMOLA device for helical mirror concept exploration”, Fusion Eng. Des., 122 (2017), 86–93 | DOI

[15] D. I. Skovorodin, I. S. Chernoshtanov, V. Kh., V. T. Astrelin, P. A. Bagryanskii, A. D. Beklemishev, A. V. Burdakov, A. I. Gorbovskii, I. A. Kotel'nikov, E. M. Magommedov, S. V. Polosatkin, V. V. Postupaev, V. V. Prikhod'ko, V. Ya. Savkin, E. I. Soldatkina, A. L. Solomakhin, A. V. Sorokin, A. V. Sudnikov, M. S. Khristo, S. V. Shiyankov, D. V. Yakovlev, and V. I. Shcherbakov, Gas dynamic multimirror trap GDMMT, Budker Inst. Nucl. Phys. Sb RAS, Novosibirsk, 2023

[16] A. A. Samarskii, V. I. Mazhukin, P. P. Matus, and G.I. Shishkin, “Monotone difference schemes for equations with mixed derivatives”, Mat. Model., 13:2 (2001), 17–26 (in Russian) | MR | Zbl

[17] N. N. Yanenko, Method of Fractional Steps for Solving Multidimensional Problems of Mathematical Physics, Nauka, Novosibirsk, 1967 (in Russian) | MR

[18] A. A. Samarskii and E. S. Nikolaev, Methods for Solving Grid Equations, Nauka, M., 1978 (in Russian)