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Comparisons and physics basis of tokamak transport models and turbulence simulations

Phys. Plasmas 7, 969 (2000); doi:10.1063/1.873896

Issue Date: March 2000

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A. M. Dimits,1 G. Bateman,2 M. A. Beer,3 B. I. Cohen,1 W. Dorland,4 G. W. Hammett,3 C. Kim,5 J. E. Kinsey,2 M. Kotschenreuther,6 A. H. Kritz,2 L. L. Lao,7 J. Mandrekas,8 W. M. Nevins,1 S. E. Parker,5 A. J. Redd,9 D. E. Shumaker,1 R. Sydora,10 and J. Weiland11
1Lawrence Livermore National Laboratory, P.O. Box 808, Livermore, California 94550
2Lehigh University, Bethlehem, Pennsylvania 18015
3Princeton Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08540
4University of Maryland, College Park, Maryland 20742
5University of Colorado, Boulder, Colorado 80309
6Institute for Fusion Studies, Univ. of Texas, Austin, Texas 78712
7General Atomics, Inc., San Diego, California 92186-5608
8Georgia Institute of Technology, Atlanta, Georgia 30332-0225
9University of Washington, Seattle, Washington 98195
10University of Alberta, Edmonton, Alberta, AB T6G2J1 Canada
11Chalmers University of Technology, S-412 96 Goteborg, Sweden

The predictions of gyrokinetic and gyrofluid simulations of ion-temperature-gradient (ITG) instability and turbulence in tokamak plasmas as well as some tokamak plasma thermal transport models, which have been widely used for predicting the performance of the proposed International Thermonuclear Experimental Reactor (ITER) tokamak [Plasma Physics and Controlled Nuclear Fusion Research, 1996 (International Atomic Energy Agency, Vienna, 1997), Vol. 1, p. 3], are compared. These comparisons provide information on effects of differences in the physics content of the various models and on the fusion-relevant figures of merit of plasma performance predicted by the models. Many of the comparisons are undertaken for a simplified plasma model and geometry which is an idealization of the plasma conditions and geometry in a Doublet III-D [Plasma Physics and Controlled Nuclear Fusion Research, 1986 (International Atomic Energy Agency, Vienna, 1987), Vol. 1, p. 159] high confinement (H-mode) experiment. Most of the models show good agreements in their predictions and assumptions for the linear growth rates and frequencies. There are some differences associated with different equilibria. However, there are significant differences in the transport levels between the models. The causes of some of the differences are examined in some detail, with particular attention to numerical convergence in the turbulence simulations (with respect to simulation mesh size, system size and, for particle-based simulations, the particle number). The implications for predictions of fusion plasma performance are also discussed. ©2000 American Institute of Physics.
History: Received 3 September 1999; accepted 8 December 1999
Permalink: http://link.aip.org/link/?PHPAEN/7/969/1
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Supplemental Material

KEYWORDS and PACS

Keywords
PACS
  • 52.35.Ra
    Physics of plasmas and electric discharges Waves, oscillations, and instabilities in plasma Plasma turbulence
  • 52.65.Tt
    Physics of plasmas and electric discharges Plasma simulation Gyrofluid and gyrokinetic simulations
  • 52.25.Fi
    Physics of plasmas and electric discharges Plasma properties Transport properties
  • YEAR: 2000

PUBLICATION DATA

ISSN:
1070-664X (print)   1089-7674 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (74)

  1. R. Aymar, V. Chuyanov, M. Huguet, R. Parker, and Y. Shimomura, Proceedings of the 16th International Conference on Fusion Energy, Montreal, 1996 (International Atomic Energy Agency, Vienna, 1997), Vol. 1, p. 3.
  2. M. Kotschenreuther, W. Dorland, Q. P. Liu, G. W. Hammett, M. A. Beer, S. A. Smith, A. Bondeson, and S. C. Cowley, Proceedings of the 16th International Conference on Fusion Energy, Montreal, 1996 (IAEA, Vienna, 1997), Vol. 2, p. 371;
  3. See EPAPS Document No. E-PHPAEN-7-037003for M. Kotschenreuther and W. Dorland, "Memorandum on Confinement Projections To: FESAC ITER Confinement reviewers," (Feb. 14, 1997). This document may be retrieved via the EPAPS homepage (http://www.aip.org/pubservs/epaps.html) or from ftp.aip.org in the directory /epaps/. See the EPAPS homepage for more information. [EPAPS]
  4. G. Bateman, A. H. Kritz, J. E. Kinsey, and A. J. Redd, Phys. Plasmas 5, 2355 (1998). [ISI]
  5. D. R. Mikkelsen, G. Bateman, D. Boucher et al., "Tests of 1-D Transport Models, and their Predictions for ITER" to be published in the Proceedings of the 17th International Conference on Fusion Energy, Yokohama, 1998 (International Atomic Energy Agency, Vienna, 1999); (to be published) in Nuclear Fusion 40 (2000).
  6. J. W. Connor, M. Alexander, S. E. Attenberger et al., Proceedings of the 16th International Conference on Fusion Energy, Montreal, 1996 (International Atomic Energy Agency, Vienna, 1997), Vol. 2, p. 935.
  7. J. E. Kinsey, R. E. Waltz, and D. P. Schissel, Proceedings of Contributed Papers, 24th European Physical Society Conference on Controlled Fusion and Plasma Physics, 1997 (European Physical Society, Petit-Lancy, 1997), Vol. 3, p. 1081.
  8. R. E. Waltz, G. M. Staebler, W. Dorland, G. W. Hammett, M. Kotschenreuther, and J. A. Konings, Phys. Plasmas 4, 2482 (1997).
  9. W. Dorland, M. Kotschenreuther, M. A. Beer, G. Hammett et al., Proceedings of the 15th International Conference on Plasma Physics and Controlled Nuclear Fusion Research, Seville, 1994 (International Atomic Energy Agency, Vienna, 1995), Vol. 3, 463.
  10. M. Kotschenreuther, W. Dorland, M. A. Beer, and G. W. Hammett, Phys. Plasmas 2, 2381 (1995).
  11. G. Bateman, J. Weiland, H. Nordman, J. Kinsey, and C. Singer, Phys. Scr. 51, 591 (1995).
  12. M. A. Beer and G. W. Hammett, Phys. Plasmas 3, 4046 (1996). [ISI]
  13. A. M. Dimits, T. J. Williams, J. A. Byers, and B. I. Cohen, Phys. Rev. Lett. 77, 71 (1996). [MEDLINE]
  14. R. D. Sydora, Phys. Scr. 52, 474 (1995). [Inspec]
  15. M. Kotschenreuther, G. Rewoldt, and W. M. Tang, Comput. Phys. Commun. 88, 128 (1995), and references therein.
  16. E. A. Frieman and Liu Chen, Phys. Fluids 25, 502 (1982).
  17. J. Luxon, P. Anderson, F. Batty et al., Proceedings of the 11th International Conference on Plasma Physics and Controlled Nuclear Fusion Research, Kyoto, 1986 (International Atomic Energy Agency, Vienna, 1987), Vol. 1, p. 159.
  18. C. M. Greenfield, J. C. DeBoo, T. H. Osborne, F. W. Perkins, M. N. Rosenbluth, and D. Boucher, Nucl. Fusion 37, 1215 (1997). [Inspec]
  19. M. C. Zarnstorff, C. W. Barnes, P. C. Efthimion et al., Proceedings of the 13th International Conference on Plasma Physics and Controlled Nuclear Fusion Research, Washington DC, 1990 (International Atomic Energy Agency, Vienna, 1991), Vol. 1, 109.
  20. B. I. Cohen, D. C. Barnes, J. M. Dawson et al., Comput. Phys. Commun. 87, 1 (1995). [Inspec] [ISI]
  21. S. E. Parker, W. Dorland, R. A. Santoro, M. A. Beer, Q. P. Liu, W. W. Lee, and G. W. Hammett, Phys. Plasmas 1, 1461 (1994). [ISI]
  22. R. E. Waltz, G. D. Kerbel, and J. Milovich, Phys. Plasmas 1, 2229 (1994).
  23. M. A. Beer, S. C. Cowley, and G. W. Hammett, Phys. Plasmas 2, 2687 (1995).
  24. M. A. Beer, Ph.D. thesis, Princeton University, 1995.
  25. J. Weiland, A. Jarmen, and H. Nordman, Nucl. Fusion 29, 1810 (1989). [Inspec] [ISI]
  26. J. Weiland and A. Hirose, Nucl. Fusion 32, 151 (1992). [Inspec] [ISI]
  27. P. N. Guzdar, J. F. Drake, D. McCarthy, A. B. Hassam, and C. S. Liu, Phys. Fluids B 5, 3712 (1993).
  28. G. Bateman, A. Kritz, J. Kinsey, A. Redd, and J. Weiland, Phys. Plasmas 5, 1793 (1998).
  29. J. Kinsey, G. Bateman, A. Kritz, and A. Redd, Phys. Plasmas 3, 561 (1996). [ISI]
  30. J. Kinsey, Nucl. Fusion 39, 539 (1999). [Inspec] [ISI]
  31. S. D. Scott, G. W. Hammett, C. K. Phillips et al., Proceedings of the 16th International Conference on Fusion Energy, Montreal, 1996 (International Atomic Energy Agency, Vienna, 1997), Vol. 1, p. 573.
  32. W. Dorland, M. Kotschenreuther, Q. P. Liu, M. A. Beer, and G.W. Hammett, in Proceedings of the Joint Varenna-Lausanne International Workshop on Theory of Fusion Plasmas, Varenna, 1996, edited by J. W. Connor, E. Sindoni, and J. Vaclavik (Societa Italiana di Fisica, Bologna, Italy, 1997), p. 185.
  33. D. R. Ernst, B. Coppi, S. D. Scott, M. Porkolab, and the TFTR Group, Phys. Rev. Lett. 81, 2454 (1998). [ISI]
  34. X. Garbet and R. E. Waltz, Phys. Plasmas 3, 1898 (1996); [ISI]
  35. 5, 2836 (1998). [ISI]
  36. S. E. Parker, J. Cummings, W. Lee, and H. Mynick, Joint Varenna-Lausanne International Workshop on Theory of Fusion Plasmas, Varenna, 1994, edited by E. Sindoni, F. Troyon, and J. Vlaclavik (Societa Italiana di Fisica, Bologna, 1994), p. 219.
  37. S. E. Parker and W. W. Lee, Phys. Fluids B 5, 77 (1993).
  38. W. W. Lee, Phys. Fluids 26, 556 (1983).
  39. W. W. Lee, J. Comput. Phys. 72, 243 (1987).
  40. A. M. Dimits, Ph.D. thesis, Princeton University, 1988.
  41. M. Kotschenreuther et al., Proceedings of the 14th International Conference on Plasma Physics and Controlled Nuclear Fusion, 1992 (International Atomic Energy Agency, Vienna, 1993), Vol. 2, p. 11.
  42. B. I. Cohen, T. J. Williams, A. M. Dimits, and J. A. Byers, Phys. Fluids B 5, 2967 (1993). [ISI]
  43. W. D. Dorland, Ph.D. thesis, Princeton University, 1993.
  44. G. W. Hammett, M. A. Beer, W. Dorland, S. C. Cowley, and S. A. Smith, Plasma Phys. Controlled Fusion 35, 973 (1993).
  45. A. M. Dimits, J. A. Byers, T. J. Williams, and B. I. Cohen, et al., Proceedings of the 15th International Conference on Plasma Physics and Controlled Nuclear Fusion Research, Seville, 1994 (International Atomic Energy Agency, Vienna, 1995), Vol. 3, p. 457.
  46. A. M. Dimits, Phys. Rev. E 48, 4070 (1993). [ISI] [MEDLINE]
  47. Z. Lin, T. S. Hahm, W. W. Lee, W. M. Tang, and R. B. White, Science 281, 1835 (1998). [MEDLINE]
  48. M. LeBrun, T. Tajima, M. Gray, G. Furnish, and W. Horton, Phys. Fluids B 5, 752 (1993). [ISI]
  49. T. S. Hahm, Phys. Fluids 31, 2670 (1988).
  50. R. D. Sydora, V. K. Decyk, and J. M. Dawson, Plasma Phys. Controlled Fusion 38, A281 (1996).
  51. S. E. Parker, C. Kim, and Y. Chen, Phys. Plasmas 6, 1709 (1999). [ISI]
  52. H. E. Mynick and S. E. Parker, Phys. Plasmas 2, 1217 (1995). [ISI]
  53. H. E. Mynick and S. E. Parker, Phys. Plasmas 2, 2231 (1995). [ISI]
  54. M. N. Rosenbluth and F. L. Hinton, Phys. Rev. Lett. 80, 724 (1998).
  55. M. A. Beer and G. W. Hammett, Proceedings of the Joint Varenna-Lausanne Int. Workshop on Theory of Fusion Plasmas, Varenna, 1998, edited by J. W. Connor, E. Sindoni, and J. Vaclavik (Societa Italiana di Fisica, Bologna, Italy, 1999), p. 19.
  56. A. M. Dimits, B. I. Cohen, N. Mattor, W. M. Nevins, D. E. Shumaker, S. E. Parker, and C. Kim, "Simulation of Ion-Temperature-Gradient-Turbulence in Tokamaks," to be published in the Proceedings of the 17th International Conference on Fusion Energy, Yokohama, 1998 (International Atomic Energy Agency, Vienna, 1999) (to be published) in Nuclear Fusion 40 (2000).
  57. M. A. Beer, G. W. Hammett, G. Rewoldt, E. J. Synakowski, M. C. Zarnstorff, and W. Dorland, Phys. Plasmas 4, 1792 (1997). [ISI]
  58. A. J. Redd, A. H. Kritz, G. Bateman, G. Rewoldt, and W. M. Tang, Phys. Plasmas 6, 1162 (1999). [ISI]
  59. R. E. Waltz, R. R. Dominguez, and G. W. Hammett, Phys. Fluids B 4, 3138 (1992). [ISI]
  60. M. A. Beer and G. W. Hammett, Phys. Plasmas 3, 4046 (1996). [ISI]
  61. Z. Chang and J. D. Callen, Phys. Fluids B 4, 1167 (1992).
  62. N. Mattor and S. E. Parker, Phys. Rev. Lett. 79, 3419 (1997). [ISI]
  63. C. H. Kim and S. E. Parker, Bull. Am. Phys. Soc. 43, 1721 (1998).
  64. T. S. Hahm and K. H. Burrell, Phys. Plasmas 2, 1648 (1995).
  65. K. H. Burrell, Phys. Plasmas 4, 1499 (1997).
  66. E. J. Synakowski, Plasma Phys. Controlled Fusion 40, 581 (1998). [Inspec] [ISI]
  67. T. S. Hahm, M. A. Beer, Z. Lin, G. W. Hammett, W. W. Lee, and W. M. Tang, Phys. Plasmas 6, 922 (1999).
  68. The scrambling noise test was proposed originally by M. Kotschenreuther, and valuable variations and refinements were suggested by W. Dorland, G. W. Hammett, and M. N. Rosenbluth in private communications dating between 1995 and 1997.
  69. T. Hatae, Y. Kamada, S. Ishida et al., Plasma Phys. Controlled Fusion 40, 1073 (1998).
  70. J. G. Cordey and the JET Team, "H-mode power threshold and confinement in JET H, D, D-T and T Plasmas" (to be published) in the Proceedings of the 17th International Conference on Fusion Energy, Yokohama, 1998 (International Atomic Energy Agency, Vienna, 1999).
  71. T. H. Obsborne, K. H Burrell, R. J. Groebner et al., "H-mode pedestal characteristics in ITER shape discharges on DIII-D" (to be published) in Plasma Phys. and Control. Fusion.
  72. F. W. Perkins, D. Post, M. N. Rosenbluth et al., Proceedings of the 16th International Conference on Fusion Energy, Montreal, 1996 (International Atomic Energy Agency, Vienna, 1997), Vol. 2, p. 963.
  73. See Appendix D.I of National Technical Information Service Document No. DE97006799INZ (Panel Report To Fusion Energy Sciences Advisory Committee (FESAC), Review of the International Thermonuclear Experimental Reactor (ITER) detailed design report, DOE/ER-0700, April 18, 1997). Copies may be ordered from www.ntis.gov, or the National Technical Information Service, Springfield, VA 22161.
  74. Z. Lin, T. S. Hahm, W. W. Lee, W. M. Tang, and P. H. Diamond, Phys. Rev. Lett. , 83 , 3645 (1999).
  75. P. Diamond, M. N. Rosenbluth, F. L. Hinton, M. Malkov, J. Fleischer, and A. Smolyakov, "Dynamics of Zonal Flows and Self-Regulating Drift-Wave Turbulence" (to be published) in the Proceedings of the 17th International Conference on Fusion Energy, Yokohama, 1998 (International Atomic Energy Agency, Vienna, 1999).
  76. M. Kotschenreuther, W. Dorland, Q. P. Liu, M. Zarnstorff, R. L. Miller, and Y. R. Lin-Liu, "Attaining Neoclassical Transport in Ignited Tokamaks" (to be published) in the Proceedings of the 17th International Conference on Fusion Energy, Yokohama, 1998 (International Atomic Energy Agency, Vienna, 1999); (to be published) in Nuclear Fusion 40 (2000).