The Hall effect influence on current layer structure in MHD accelerator channel
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 505-518.

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The mathematical modeling of unsteady process flowing in the channel of the plane MHD accelerator is done. In full statement the two-dimensional problem of the magnetic hydrodynamics with the Hall's effect has been solved numerically. The obtained results agree with the experimental data in the quality way.
Keywords: mathematical simulation of physical processes, computational hydrodynamics, exponential fitting.
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Igor A. Kuzovatov; Andrey V. Minakov. The Hall effect influence on current layer structure in MHD accelerator channel. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 4 (2011) no. 4, pp. 505-518. http://geodesic.mathdoc.fr/item/JSFU_2011_4_4_a8/

[1] V. S. Slavin, E. N. Vasilev, V. V. Ovchinnikov, “Diagramma sostoyanii stabilizirovannogo tokovogo sloya v kanale MGD-generatora”, Dokl. AN SSSR, 290:6 (1986), 1305–1309

[2] A. A. Gavrilov, V. S. Slavin, Struktura turbulentnogo neodnorodnogo gazoplazmennogo techeniya v kanale magnitogidrodinamicheskogo uskoritelya, Sbornik dokladov XXVI Sibirskogo teplofizicheskogo seminara, 2002

[3] V. S. Slavin, V. S. Sokolov, K. A. Finnikov i dr., Kosmicheskoe primenenie magnitogidrodinamicheskikh metodov preobrazovaniya energii s ispolzovaniem neodnorodnykh gazoplazmennykh potokov, ed. V. S. Slavin, IPTs KGTU, Krasnoyarsk, 2004

[4] T. E. Markusic, E. Y. Choueiri, Phenomenological model of current sheet canting in pulsede lectromagnetic accelerators, IEPC 2003-0293, presented at the $28^{th}$ International Electric Propulsion Conference (Toulouse, France, March 17–24, 2003)

[5] T. E. Markusic, E. Y. Choueiri, J. W. Berkery, “Measurements of current sheet canting in pulsed electromagnetic accelerator”, Physics of plasmas, 11:10 (2004), 4847–4858 | DOI

[6] G. I. Marchuk, Metody rasschepleniya, Nauka, M., 1988 | MR

[7] A. Harten, “High resolution schemes for hyperbolic conservation laws”, Journal of computational physics, 49 (1983), 357–393 | DOI | MR | Zbl

[8] A. M. Ilin, “Raznostnaya skhema dlya differentsialnogo uravneniya s malym parametrom pri starshei proizvodnoi”, Matem. zametki, 6:2 (1969), 237–248 | MR | Zbl

[9] E. Dulan, Dzh. Miller, U. Shilders, Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem, Mir, M., 1983 | MR

[10] I. A. Kuzovatov, T. A. Milovidova, V. S. Slavin, “Analiz vliyaniya effekta Kholla na strukturu neravnovesnogo plazmennogo sloya v kanale MGD-generatora”, Vychislitelnye tekhnologii, 12:4 (2007), 73–84 | Zbl