[Table of Contents]

Plasma and Fusion Research

Volume 6, 2403066 (2011)

Regular Articles


Monte Carlo Simulation Code for Solving Radial Fluid Equations in Toroidal Plasmas
Ryutaro KANNO1,2), Shinsuke SATAKE1,2) and Masanori NUNAMI1)
1)
National Institute for Fusion Science, Toki 509-5292, Japan
2)
Department of Fusion Science, the Graduate University for Advanced Studies, Toki 509-5292, Japan
(Received 6 December 2010 / Accepted 19 April 2011 / Published 1 July 2011)

Abstract

We develop a new Monte Carlo simulation method to calculate steady-state solutions of fluid equations for edge plasmas. To confirm the computational principle of the new method, benchmark tests including nonlinear problems in one dimensional (i.e., radial) coordinate space are attempted in the first trial; the code based on the method is called DIPS-1D. We confirm that DIPS-1D is useful for solving a Dirichlet problem and that the solution given by the present method provides sufficient numerical accuracy.


Keywords

Monte Carlo method, fluid equation, Dirichlet problem, stochastic analysis, diffusion process

DOI: 10.1585/pfr.6.2403066


References

  • [1] S.I. Braginskii, Reviews of Plasma Physics, vol.1 (Consultants Bureau, New York, 1965).
  • [2] P.C. Stangeby, The Plasma Boundary of Magnetic Fusion Devices (IOP Pub., Bristol and Philadelphia, 2000).
  • [3] Y. Feng et al., J. Nucl. Mater. 266-269, 812 (1999).
  • [4] A. Runov et al., Nucl. Fusion 44, S74 (2004).
  • [5] M. Kobayashi et al., J. Nucl. Mater. 363-365, 294 (2007).
  • [6] R. Kanno et al., J. Plasma Fusion Res. SERIES 6, 527 (2004).
  • [7] W. Park et al., Phys. Plasmas 6, 1796 (1999).
  • [8] R. Kanno et al., Plasma Phys. Control. Fusion 52, 115004 (2010).
  • [9] S. Brunner et al., Phys. Plasmas 6, 4504 (1999).
  • [10] R. Kanno et al., Contrib. Plasma Phys. 48, 106 (2008).
  • [11] A. Friedman, Stochastic Differential Equations and Applications (Dover, New York, 2004).
  • [12] B. Øksendal, Stochastic Differential Equations (Springer-Verlag, Berlin Heidelberg, 2003).
  • [13] A.D. Wentzell, A Course in the Theory of Stochastic Processes (McGraw-Hill, New York, 1981).
  • [14] H. Akaike, in 2nd Inter. Symp. on Information Theory (Akademiai Kiado, Budapest, 1973) pp.267-281.
  • [15] J.M. Burgers, Adv. Appl. Mech. 1, 171 (1948).
  • [16] G.B. Whitham, Linear and Nonlinear Waves (John Wiely & Sons, New York, 1999).
  • [17] J. Wesson, Tokamaks 2nd ed. (Oxford Univ. Pr., New York, 1997).
  • [18] Yu. Gordeev et al., Pis'ma Zh. Eksp. Teor. Fiz. 25, 223 (1977); Gordeev et al., JETP Lett. 25, 204 (1977).

This paper may be cited as follows:

Ryutaro KANNO, Shinsuke SATAKE and Masanori NUNAMI, Plasma Fusion Res. 6, 2403066 (2011).