[Table of Contents]

Plasma and Fusion Research

Volume 5, S1020 (2010)

Regular Articles

1D Modeling of LHD Divertor Plasma and Hydrogen Recycling
Gakushi KAWAMURA1), Yukihiro TOMITA1), Masahiro KOBAYASHI1) and David TSKHAKAYA2,3)
National Institute for Fusion Science, Gifu 509-5292, Japan
Association Euratom- ÖAW, Institute of Theoretical Physics, University of Innsbruck, Technikerstrasse 25/II, Innsbruck A-6020, Austria
Permanent address: Institute of Physics, Georgian Academy of Sciences, 380077 Tbilisi, Georgia
(Received 9 January 2009 / Accepted 16 May 2009 / Published 26 March 2010)


One dimensional plasma and neutral model of the divertor plasma in Large Helical Device is presented. The plasma is described by stationary fluid equations for electron and ion. The atomic processes such as dissociation of hydrogen molecules released from the divertor plate, ionization of hydrogen atoms, charge exchange and recombination are included in equations of neutrals. This model is intended to be employed in an integrated simulation where an equilibrium of the upstream plasma and plasma-surface interactions at the divertor plate are solved in different numerical codes separately. From the computational point of view, the numerical code for the divertor plasma is developed for 1D flux tube where the boundary conditions of both ends are specified. The calculation time is less than one second and reasonably short to use in future integrated simulations. In the results, interactions between plasma and neutrals and dependence of the energy loss on the plasma density are studied. In low density case, the energy is lost through ionization and charge exchange but the total amount of the loss is small and the impurity loss is negligibly small. In high density case, the ionization loss and impurity cooling become much larger than the charge exchange loss and causes a drop of the heat flux.


LHD, divertor, fluid, neutral, recycling

DOI: 10.1585/pfr.5.S1020


  • [1] N. Oyabu et al., Nucl. Fusion 34, 387 (1994).
  • [2] M. Kobayashi et al., J. Nucl. Mater. 363-365, 294 (2007).
  • [3] A. Kirschner et al., Nucl. Fusion 40, 989 (2000).
  • [4] P. C. Stangeby and J. D. Elder, J. Nucl. Mater. 196-198, 258 (1992).
  • [5] K. Shimizu et al., J. Nucl. Mater. 196-198, 476 (1992).
  • [6] Rajiv Goswami et al., Phys. Plasmas 8, 857 (2001).
  • [7] Deok-Kyu Kim and Sanh Hee Hong, Phys. Plasmas 12, 062504 (2005).
  • [8] G. Kawamura, Y. Tomita, M. Kobayashi and A. Kirschner, J. Plasma Fusion Res. Series 8, 455 (2009).
  • [9] S. I. Braginskii, Rev. Plasma Phys. 1, 205 (1965).
  • [10] D. Tskhakaya and S. Kuhn, Plasma Phys. Control. Fusion 47, A327 (2005).
  • [11] Peter C. Stangeby, The Plasma Boundary of Magnetic Fusion Devices, Institute of Physics Publishing (Bristol and Philadelphia 1999).
  • [12] R. L. Freeman and E. M. Jones, Atomic Collision Processes in Plasma Physics Experiments, Culham Laboratory, Abingdon, England, Report CLM-R 137 (1974).
  • [13] E. M. Jones, Atomic Collision Processes in Plasma Physics Experiments, Culham Laboratory, Abingdon, England, Report CLM-R 175 (1977).

This paper may be cited as follows:

Gakushi KAWAMURA, Yukihiro TOMITA, Masahiro KOBAYASHI and David TSKHAKAYA, Plasma Fusion Res. 5, S1020 (2010).