[Table of Contents]

Plasma and Fusion Research

Volume 9, 1403029 (2014)

Regular Articles


Local Gyrokinetic Vlasov Simulations with Realistic Tokamak MHD Equilibria
Motoki NAKATA, Akinobu MATSUYAMA, Nobuyuki AIBA, Shinya MAEYAMA, Masanori NUNAMI1) and Tomo-Hiko WATANABE2)
Japan Atomic Energy Agency, Rokkasho, Aomori 039-3212, Japan
1)
National Institute for Fusion Science, Toki 509-5292, Japan
2)
Department of Physics, Nagoya University, Nagoya 464-8602, Japan
(Received 15 January 2014 / Accepted 21 February 2014 / Published 7 April 2014)

Abstract

A local gyrokinetic Vlasov simulation code GKV is extended to incorporate realistic tokamak equilibria including up-down asymmetry, which are produced by a free-boundary 2D Grad-Shafranov equation solver MEUDAS. By using a newly developed interface code IGS, two dimensional rectangular equilibrium data from MEUDAS is converted to straight-field-line flux coordinates such as Hamada, Boozer, and axisymmetric coordinates, which are useful for gyrokinetic micro-instability and turbulent transport analyses. The developed codes have been verified by a cross-code benchmark test using Cyclone-base-case like MHD equilibrium, where good agreement in the dispersion relation of ion temperature gradient (ITG) driven mode has been confirmed. The extended GKV is applied to two types of shaped plasmas expected in JT-60SA tokamak devices, i.e., ITER-like and highly-shaped plasmas, and ITG-mode stability and residual zonal-flow level are investigated. Through the detailed comparisons, more favorable stability properties against the ITG mode are revealed for the highly-shaped case, where the lower ITG-mode growth rate and higher residual zonal-flow levels compared to the ITER-like case are identified.


Keywords

gyrokinetic Vlasov simulation, realistic geometry, ITG mode

DOI: 10.1585/pfr.9.1403029


References

  • [1] W. Horton, Rev. Mod. Phys. 71, 735 (1999).
  • [2] X. Garbet, Y. Idomura et al., Nucl. Fusion 50, 043002 (2010).
  • [3] A.M. Dimits, G. Bateman et al., Phys. Plasmas 7, 969 (2000).
  • [4] P.H. Diamond, S.-I. Itoh et al., Plasma Phys. Control. Fusion 47, R35 (2005).
  • [5] M.A. Beer, S.C. Cowley et al., Phys. Plasmas 2, 2687 (1995).
  • [6] R.L. Miller, M.S. Chu et al., Phys. Plasmas 5, 973 (1998).
  • [7] R.E. Waltz and R.L. Miller, Phys. Plasmas 6, 4265 (1999).
  • [8] E.A. Belli, G.W. Hammett et al., Phys. Plasmas 15, 092303 (2008).
  • [9] E.A. Belli and J. Candy, Phys. Plasmas 17, 112314 (2010).
  • [10] Y. Camenen, A. Pochelon et al., Nucl. Fusion 47, 510 (2007).
  • [11] A. Marinoni, S. Brunner et al., Plasma Phys. Control. Fusion 51, 055016 (2009).
  • [12] A. Burckel, O. Sauter et al., J. Phys. Conf. Ser. 260, 012006 (2010).
  • [13] T.L. Rhodes, C. Holland et al., Nucl. Fusion 51, 063022 (2011).
  • [14] R.V. Bravenec, J. Candy et al., Phys. Plasmas 18, 122505 (2011).
  • [15] M.N. Rosenbluth and F.L. Hinton, Phys. Rev. Lett. 80, 724 (1998).
  • [16] Y. Xiao and P.J. Catto, Phys. Plasmas 13, 082307 (2006).
  • [17] O. Yamagishi and H. Sugama, Phys. Plasmas 19, 092504 (2012).
  • [18] H. Sugama, T.-H. Watanabe et al., Phys. Plasmas 14, 022502 (2007).
  • [19] M. Nakata, T.-H. Watanabe et al., Phys. Plasmas 19, 022303 (2012).
  • [20] M. Nakata and Y. Idomura, Nucl. Fusion 53, 113039 (2013).
  • [21] T.-H. Watanabe and H. Sugama, Nucl. Fusion 46, 24 (2006).
  • [22] M. Azumi et al., in Proc. 4th Int. Symp. Comput. Methods Applied Sci. Engineering, Paris (North-Holland, Amsterdam, 1980) p.335.
  • [23] N. Aiba, S. Tokuda et al., Plasmas Fusion Res. 2, 010 (2007).
  • [24] N. Nakajima, J. Todoroki et al., Kakuyugo Kenkyu 68, 395 (1992).
  • [25] V.D. Pustovitov, J. Plasma Fusion Res. SERIES 1, 456 (1998).
  • [26] T. Takeda and S. Tokuda, J. Comput. Phys. 93, 1 (1991).
  • [27] M. Nunami, T.-H. Watanabe et al., Plasma Fusion Res. 5, 016 (2010).
  • [28] H. Sugama, T.-H. Watanabe et al., Phys. Plasmas 16, 112502 (2009).
  • [29] S. Maeyama, A. Ishizawa et al., Comput. Phys. Comm. 184, 2462 (2013).
  • [30] F. Jenko and W. Dorland, Plasma Phys. Control. Fusion 43, A141 (2001).
  • [31] W. Dorland, F. Jenko et al., Phys. Rev. Lett. 85, 5579 (2000).
  • [32] A.G. Peeters, Y. Camenen et al., Comput. Phys. Comm. 180, 2650 (2009).
  • [33] H. Lütjens, A. Bondeson et al., Comput. Phys. Comm. 97, 219 (1996).
  • [34] X. Lapillonne, S. Brunner et al., Phys. Plasmas 16, 032308 (2009).
  • [35] M. Nunami, T.-H. Watanabe et al., Phys. Plasmas 19, 042504 (2012).
  • [36] M. Nunami, T.-H. Watanabe et al., Phys. Plasmas 20, 092307 (2013).

This paper may be cited as follows:

Motoki NAKATA, Akinobu MATSUYAMA, Nobuyuki AIBA, Shinya MAEYAMA, Masanori NUNAMI and Tomo-Hiko WATANABE, Plasma Fusion Res. 9, 1403029 (2014).