Beta poloidal in the canonical" Grad-Shafranov equation
Got Yu. V. 1, Lukash V. E.1
1National Research Center “Kurchatov Institute”, Moscow, Russia
Email: jvgott@gmail.com

PDF
The paper considers the relation between constraint parameter βp and parameter β which is used in the Grad-Shafranov equation written in the "canonical" form. It is shown that, when 0≤ βp≤ 3.4, it is possible to use βp instead of β. When βp is higher, this dependence gets violated. This effect was assumed to be associated with the fact that, when βp values are high, in the plasma there appear regions where the plasma poloidal flux, longitudinal current density, and pressure become negative. Keywords: Grad-Shafanov equation, constraint parameters, plasma pressure, aspect ratio.
  1. V.D. Shafranov, in Reviews of plasma physics, ed. by M.A. Leontovich (Consultants Bureau, N.Y., 1975), vol. 2
  2. M.S. Chu, D. Dobrott, H. Jensen, T. Tamano, Phys. Fluids, 17, 1183 (1974). DOI: 10.1063/1.1694863
  3. Y.M. Jeon, J. Korean Phys. Soc., 67, 843 (2020). DOI: 10.3938/jkps.67.843
  4. H. Winter, D.B. Albert, Separatrix location using magnetic measurements in ASDEX tokamak, IPP III/57 (Max-Plank-Institut fur Plasmaphysik, Garching, 1980)
  5. J.L. Luxon, B.B. Brown, Nucl. Fusion, 22, 813 (1982). DOI: 10.1088/0029-5515/22/6/009
  6. D.Yu. Sychugov, Vopr. atomnoy nauki i trkhniki. Ser. Fizika plazmy, vyp. 3, 67 (2009). (in Russian)
  7. R.R. Khayrutdinov, V.E. Lukash, J. Comput. Phys., 109, 193 (1993). DOI: 10.1006/jcph.1993.1211
  8. J.G. Bak, S.G. Lee, H.S. Kim, Rev. Sci. Instrum., 82, 063504 (2011). DOI: 10.1063/1.3600455
  9. B.J. Green and ITER International Team and Participant Teams, Plasma Phys. Control. Fusion, 45, 687 (2003). DOI: 10.1088/0741-3335/45/5/312
  10. B.V. Kuteev, Yu.S. Shpanskiy and DEMO-FNS Team, Nucl. Fusion, 57, 076039 (2017). DOI: 10.1088/1741-4326/aab6dcb
  11. J.D. Callen, R.A. Dory, Phys. Fluids, 15, 1523 (1972). DOI: 10.1063/1.1694118
  12. V.S. Mukhovatov, V.D. Shafranov, Nucl. Fusion, 11, 605 (1971). DOI: 10.1088/0029-5515/11/6/005
  13. S.A. Sabbagh, R.A. Gross, M.E. Mauel, G.A. Navratil, M.G. Bell, R. Bell, M. Bitter, N.L. Bretz, R.V. Budny, C.E. Bush, M.S. Chance, P.C. Efthimion, F.D. Fredrickson, Ft. Hatcher, R.J. Hawryluk, S.P. Hirshman, A.C. Janos, S.C. Jardin, D.L. Jassby, J. Manickam, D.C. McCune, K.M. McGuire, S.S. Medley, D. Mueller, Y. Nagayama, D.K. Owens, M. Okabayashi, H.K. Park, A.T. Ramsey, B.C. Stratton, E.J. Synakowski, G. Taylor, R.M. Wieland, M.C. Zarnstortf, J. Kesner, E.S. Marmar, J.L. Terry, Phys. Fluids B, 3, 2277 (1991). DOI: 10.1063/1.859647

Подсчитывается количество просмотров абстрактов ("html" на диаграммах) и полных версий статей ("pdf"). Просмотры с одинаковых IP-адресов засчитываются, если происходят с интервалом не менее 2-х часов.

Дата начала обработки статистических данных - 27 января 2016 г.

Publisher:

Ioffe Institute

Institute Officers:

Director: Sergei V. Ivanov

Contact us:

26 Polytekhnicheskaya, Saint Petersburg 194021, Russian Federation
Fax: +7 (812) 297 1017
Phone: +7 (812) 297 2245
E-mail: post@mail.ioffe.ru