[Table of Contents]

Plasma and Fusion Research

Volume 7, 1403156 (2012)

Regular Articles


Numerical Analysis of Resistive Interchange Mode in Equilibria Consistent with Static Magnetic Islands in a Straight Heliotron Configuration
Kinya SAITO1, a), Katsuji ICHIGUCHI1,2) and Ryuichi ISHIZAKI1,2)
1)
The Graduate University for Advanced Studies, Toki, Gifu 509-5292, Japan
2)
National Institute for Fusion Science, Toki, Gifu 509-5292, Japan
(Received 27 April 2012 / Accepted 14 September 2012 / Published 26 December 2012)

Abstract

Effects of a static magnetic island generated by an external magnetic field on the linear stability and the nonlinear dynamics of resistive interchange modes are numerically studied by means of the reduced magnetohydrodynamic (MHD) equations in a straight heliotron configuration. Equilibria consistent with the static magnetic island are examined, where the pressure profile is locally flat inside the separatrix. The linear growth rate of the interchange mode is decreased with the increase of the static island width. The mode is completely stabilized when the static island width exceeds a threshold value. The threshold width is almost the same as the half-width of the eigenfunction of the stream function obtained for the equilibrium without the static island. The saturation level of the kinetic energy in the nonlinear evolution is also decreased with the increase of the static island width. The island width and the pressure profile are also affected by the nonlinear saturation of the interchange mode.


Keywords

resistive interchange mode, static magnetic island, heliotron, numerical simulation

DOI: 10.1585/pfr.7.1403156


References

  • [1] M.E. Fenstermacher, M. Becoulet, P. Cahyna, J. Canik, C.S. Chang, T.E. Evans, P. Gohli, S. Kaye, A. Kirk, Y. Liang, A. Loarte, R. Maingi, O. Shmitz, W. Suttrop and H.R. Wilson, Proceedings of 23rd IAEA Fusion Energy Conference, 11-16 October 2010, Daejeon, Republic of Korea, ITR/P1-30.
  • [2] H. Yamada, K.Y. Watanabe, S. Sakakibara, Y. Suzuki, S. Ohdachi, M. Kobayashi, H. Funaba and the LHD Experimental Group, Contrib. Plasma Phys. 50, No.6-7, 480 (2010).
  • [3] A. Komori, H. Yamada, O. Kaneko, K. Kawahata, T. Mutoh, N. Ohyabu, S. Imagawa, K. Ida, Y. Nagayama, T. Shimozuma, K.Y. Watanabe, T. Mito, M. Kobayashi, K. Nagaoka, R. Sakamoto, N. Yoshida, S. Ohdachi, S. Sakakibara, N. Ashikawa, Y. Feng, T. Fukuda, H. Igami, S. Inagaki, H. Kasahara, S. Kubo, R. Kumazawa, O. Mitarai, S. Murakami, Y. Nakamura, M. Nishiura, T. Hino, S. Masuzaki, K. Tanaka, K. Toi, A. Weller, M. Yoshinuma, Y. Narushima, N. Ohno, T. Okamura, N. Tamura, K. Saito, T. Seki, S. Sudo, H. Tanaka, T. Tokuzawa, N. Yanagi, M. Yokoyama, Y. Yoshimura, T. Akiyama, H. Chikaraishi, M. Chowdhuri, M. Emoto, N. Ezumi, H. Funaba, L. Garcia, P. Goncharov, M. Goto, K. Ichiguchi, M. Ichimura, H. Idei, T. Ido, S. Iio, K. Ikeda, M. Irie, A. Isayama, T. Ishigooka, M. Isobe, T. Ito, K. Itoh, A. Iwamae, S. Hamaguchi, K. Hamajima, S. Kitajima, S. Kado, D. Kato, T. Kato, S. Kobayashi, K. Kondo, S. Masamune, H. Matsumoto, N. Matsunami, T. Minami, C. Michael, H. Miura, J. Miyazawa, N. Mizuguchi, T. Morisaki, S. Morita, G. Motojima, I. Murakami, S. Muto, K. Nagasaki, N. Nakajima, Y. Nakamura, H. Nakanishi, H. Nakano, K. Narihara, A. Nishimura, H. Nishimura, K. Nishimura, S. Nishimura, N. Nishino, T. Notake, T. Obana, K. Ogawa, Y. Oka, T. Ohishi, H. Okada, K. Okuno, K. Ono, M. Osakabe, T. Osako, T. Ozaki, B.J. Peterson, H. Sakaue, M. Sasao, S. Satake, K. Sato, M. Sato, A. Shimizu, M. Shiratani, M. Shoji, H. Sugama, C. Suzuki, Y. Suzuki, K. Takahata, H. Takahashi, Y. Takase, Y. Takeiri, H. Takenaga, S. Toda, Y. Todo, M. Tokitani, H. Tsuchiya, K. Tsumori, S. Urano, E. Veshchev, F. Watanabe, T. Watanabe, T.H. Watanabe, I. Yamada, S. Yamada, O. Yamagishi, S. Yamaguchi, S. Yoshimura, T. Yoshinaga and O. Motojima, Proceedings of the 22nd Fusion Energy Conference OV/2-4 (2008).
  • [4] T. Unemura, S. Hamaguchi and M. Wakatani, Phys. Plasmas 11, 1545 (2004).
  • [5] L. Garcia, B.A. Carreras, V.E. Lynch, M.A. Pedrosa and C. Hidalgo, Phys. Plasmas 8, 4111 (2001).
  • [6] L. Garcia, B.A. Carreras, V.E. Lynch and M. Wakatani, Nucl. Fusion 43, 553 (2003).
  • [7] K. Saito, K. Ichiguchi and N. Ohyabu, Phys. Plasmas 17, 062504 (2010).
  • [8] K. Saito, K. Ichiguchi and R. Ishizaki, Plasma Fusion Res. 6, 2403072 (2011).
  • [9] S. Nishimura, K. Itoh, M. Yagi, K. Ida and S.-I. Itoh, Phys. Plasmas 17, 122505 (2010).
  • [10] S. Nishimura and M. Yagi, Plasma Fusion Res. 6, 2403119 (2011).
  • [11] S. Nishimura, S. Toda, Y. Narushima and M. Yagi, Plasma Phys. Control. Fusion, in press, (2012).
  • [12] H.R. Strauss, Plasma Phys. 22, 733 (1980).
  • [13] K. Saito, K. Ichiguchi and R. Ishizaki, Plasma Fusion Res. 7, 1403070 (2012).
  • [14] K. Saito, K. Ichiguchi and R. Ishizaki, Plasma Fusion Res. 7, 2403032 (2012).
  • [15] K. Ichiguchi, N. Nakajima, M. Okamoto, N. Ohyabu, T. Tatsuno, M. Wakatani and B.A. Carreras, J. Plasma Fusion Res. SERIES 2, 286 (1999).
  • [16] K. Ichiguchi, M. Wakatani, T. Unemura, T. Tatsuno and B.A. Carreras, Nucl. Fusion 41, 181 (2001).
  • [17] K. Ichiguchi, N. Nakajima, M. Wakatani, B.A. Carreras and V.E. Lynch, Nucl. Fusion 43, 1101 (2003).

This paper may be cited as follows:

Kinya SAITO, Katsuji ICHIGUCHI and Ryuichi ISHIZAKI, Plasma Fusion Res. 7, 1403156 (2012).