Plasma and Fusion Research

Volume 13, 3403086 (2018)

Regular Articles


Shaping Effects on Non-Ideal Ballooning Mode
Haruki SETO, Masatoshi YAGI, Nobuyuki AIBA, Akinobu MATSUYAMA, Benjamin D. DUDSON1) and Xueqiao XU2)
National Institutes for Quantum and Radiological Science and Technology, Aomori 039-3912, Japan
1)
York Plasma Institute, Department of Physics, University of York, York YO10 5DD, UK
2)
Lawrence Livermore National Laboratory, CA 94550, USA
(Received 4 January 2018 / Accepted 4 June 2018 / Published 10 July 2018)

Abstract

The dependence of shaping effects on the growth rate of collisionless and resistive ballooning mode (CBM/RBM) is numerically investigated. That of the drift ballooning modes (DCBM/DRBM) is also investigated by taking kinetic effects into account. Resistivity scans of linear growth rates of CBM/RBM and DCBM/DRBM in a circular geometry show that both modes have 3 branches in accordance with decreasing resistivity, fast, resistive and collisionless branch. The last two branches are in the edge relevant resistivity regime and are in the scope of this paper. For CBM/RBM, shaping effect on the growth rate becomes weak with increasing resistivity and the growth rate monotonically increases with decrease of the elongation and increase of the triangularity, on the other hand, the opposite tendency appears on the triangularity for DCBM, namely it weakly decreases with increase of the triangularity. This fact indicates that the inverted D-shaped equilibrium can be unstable against DCBM compared with the D-shaped equilibrium.


Keywords

resistive ballooning mode, collisionless ballooning mode, plasma shaping, electron drift wave

DOI: 10.1585/pfr.13.3403086


References

  • [1] F. Wagner et al., Phys. Rev. Lett. 49, 1408 (1982).
  • [2] H. Zohm, Plasma Phys. Control. Fusion 38, 105 (1996).
  • [3] M. Yagi et al., J. Phys. Soc. Jpn. 66, 379 (1997).
  • [4] B.A. Carreras et al., Phys. Rev. Lett. 50, 503 (1983).
  • [5] L. Garcia et al., Phys. Plasmas 6, 107 (1999).
  • [6] F. Riva et al., Plasma Phys. Control. Fusion 59, 035001 (2017).
  • [7] F. Porcelli, Phys. Rev. Lett. 66, 425 (1991).
  • [8] H. Seto et al., Plasma Fusion Res. 11, 1203122 (2016).
  • [9] B.D. Dudson et al., Comput. Phys. Commun. 180, 1467 (2008).
  • [10] J.P. Graves, Plasma Phys. Control. Fusion 55, 074009 (2013).
  • [11] R.L. Miller et al., Phys. Plasmas 5, 973 (1998).
  • [12] M.A. Beer, Phys. Plasmas 2, 2687 (1995).
  • [13] R.D. Hazeltine et al., Phys. Fluids 28, 2466 (1985).
  • [14] T. Rhee et al., Phys. Plasmas 24, 072504 (2017).