Boundary plasma turbulence simulations for tokamaks

Communications in Computational Physics

Volumn 4, Issue 5, 2008, Pages 949-979

  Xu, X Q ^a,b   Umansky, M V ^a   Dudson, B ^c   Snyder, P B ^d  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

^b ZHEJIANG UNIVERSITY   (China)

^c UNIVERSITY OF YORK   (United Kingdom)

^d GENERAL ATOMICS   (United States)

Author keywords

Field aligned coordinates; Plasma blobs; Plasma turbulence simulation; Plasma two fluids equation

Indexed keywords

EID: 57849101141     PISSN: 18152406     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (79)

1. M. Greenwald, J. J. Terry, et al., Nucl. Fusion 28 (1988) 2199;
2. M. Greenwald, Plasma Phys. Control. Fusion 44 (2002) R27-R80.
3. S. J. Zweben, J. A. Boedo, O. Grulke, C. Hidalgo, B. LaBombard, R. J. Maqueda, P. Scarin, J. L. Terry, Plasma Phys. Control. Fusion 49 (2007) S1-S23.
4. S. I. Krasheninnikov, D. A. D'Ippolito, J. R. Myra, J. Plasma Phys., in progress (2008).
5. X. Q. Xu, R. H. Cohen, T. D. Rognlien, J. R. Myra, Phys. Plasmas 7 (2000) 1951.
6. B. N. Rogers, J. F. Drake, Phys. Rev. Lett. 81 (1998) 4396.
7. B. Scott, Phys. Plasmas 5, 1845 (2001); Plasma Phys. Control. Fusion 49 (2007) S25-S41 and references therein.
8. K. Hallatschek, Plasma Phys. Control. Fusion 49 (2007) B137-B148 and references therein.
9. W. E. Han, A. Thyagaraja, S. J. Fielding, M. Valovic, Plasma Phys. Control. Fusion 42 (2000) 181-201.
10. P. Beyer, S. Benkadda, G. Fuhr-Chaudier, X. Garbet, Ph Ghendrih, Y. Sarazin, Plasma Phys. Control. Fusion 49 (2007) 507-523 and references therein.
11. V. Naulin, J. Nucl. Mater. 363-365 (2007) 24-31;
12. V. Naulin, T. Windisch, O. Grulke, Phys. Plasmas 15 (2008) 012307 and, references therein.
13. M. Yagi, S.-I. Itoh, K. Itoh, P. H. Diamond, Contr. Plasma Phys. 48 (2008) 13-22.
14. X. Q. Xu, R. H. Cohen, Contr. Plasma Phys. 38 (1998) 158.
15. G. D. Byrne, A. C. Hindmarsh, Int. J. High Perf. Comput. Appl. 13 (1999) 354-365.
16. W. D. Gropp, E. Lusk, A. Skjellum, Using MPI Portable Parallel Programming with the Message-Passing Interface, The MIT Press, Cambridge, MA, 1994.
17. T. D. Rognlien, D. D. Ryutov, N. Mattor, G. D. Porter, Phys. Plasmas 6 (1999) 1851.
18. L. L. Lao, et al., Nucl. Fusion 25 (1985) 1611.
19. L. D. Pearlstein, et al., Proceedings 28th EPS Conf. Controlled Fusion Plasma Phys, Madeira, Portugal, June 2001, (EPS, Funchal, 2001), Vol. 25A (ECA), p. 1901; http://www.cfn.ist.utl.pt/EPS2001/fin/authors/nav/ AutP01fr.html.
20. J. R. Myra, D. A. D'Ippolito, X. Q. Xu, R. H. Cohen, Phys. Plasmas 7 (2000) 4622.
21. X. Q. Xu, R. H. Cohen, W. M. Nevins, et al., Nucl. Fusion 42 (2002) 21-27.
22. A. Mazurenko, M. Porkolab, D. Mossessian, J. A. Snipes, X. Q. Xu, W. M. Nevins, Phys. Rev. Lett. 89 (2002) 225004.
23. G. R. McKee, R. J. Fonck, et al., Phys. Plasma 10 (2003) 1712-1719.
24. D. A. Russell, D. A. D'Ippolito, J. R. Myra, W. M. Nevins, X. Q. Xu, Phys. Rev. Lett. 93 (2004) 265001.
25. D. A. Russell, J. R. Myra, D. A. D'Ippolito, Phys. Plasmas 14 (2007) 102307.
26. M. V. Umansky, T. D. Rognlien, X. Q. Xu, R. H. Cohen, W. M. Nevins, Contr. Plasma Phys. 44 (2004) 182-187.
27. R. H. Cohen, et al., Nucl. Fusion 47 (2007) 612-625.
28. P. B. Snyder, H. R. Wilson, X. Q. Xu, Phys. Plasmas 12 (2005) 056115.
29. M. E. Fenstermacher, T. H. Osborne, A. W. Leonard, P. B. Snyder, et al, Nucl. Fusion 45 (2005) 1493-1502.
30. J. H. Yu, J. A. Boedo, E. M. Hollmann, R. A. Moyer, D. L. Rudakov, P. B. Snyder, Phys. Plasmas 15 (2008) 032504.
31. M. V. Umansky, R. H. Cohen, L. L. LoDestro, X. Q. Xu, Contr. Plasma Phys. 48 (2008) 2731.
32. B. Dudson, The 35th European Physical Society Conference on Plasma Physics, 9-13 June 2008 (35th EPS), Hersonissos, Crete, Greece; B. D. Dudson, H. R. Wilson, M. V. Umansky, X. Q. Xu, P. B. Snyder, BOUT++: A framework for parallel plasma fluid simulations, Comput. Phys. Commun., submitted.
33. T. D. Rognlien, M. V. Umansky, X. Q. Xu, R. H. Cohen, L. L. LoDestro, J. Nucl. Mater. 337-339 (2005) 327-331.
34. S. I. Braginskii, Transport properties in a plasma, in: M. A. Leontovish (Ed), Rev. Plasma Phys., Consultants Bureau, 1 (1965) 205-311.
35. A. B. Mikhailovskii, V. S. Tsypin, Beitr. Plasmaphys. 24 (1984) 335 and references therein.
36. A. N. Simakov, P. J. Catto, Phys. Plasmas 10 (2003) 4744; Erratum: A. N. Simakov, P. J. Catto, Phys. Plasmas 11 (2004) 2326.
37. A. Zeiler, J. F. Drake, B. N. Rogers, Phys. Plasmas 4 (1997) 2134.
38. A. Zeiler, D. Biskamp, B. N. Rogers, J. F. Drake, Phys. Plasmas 5 (1998) 2654.
39. B. N. Rogers, J. F. Drake, Phys. Plasmas 6 (1999) 2797.
40. X. Q. Xu, W. M. Nevins, R. H. Cohen, J. R. Myra, P. B. Snyder, New J. Phys. 4 (2002) 53.1-53.15.
41. P C. Stangeby, The Plasma Boundary of Magnetic Fusion Devices, Institute of Physics Publishing, Bristol and Philadelphia, 2000.
42. A. M. Dimits, Phys. Rev. E 48 (1993) 4070.
43. M. A. Beer, S. C. Cowley, G. W. Hammet, Phys. Plasmas 2 (1995) 2687.
44. B. Scott, Phys. Plasmas 8 (2001) 447.
45. R. D. Falgout, J. E. Jones, U. M. Yang, The design and implementation of hypre, a library of parallel high performance preconditioners, in: A.M. Bruaset, A. Tveito, (Eds), Numerical Solution of Partial Differential Equations on Parallel Computers, Springer-Verlag, V. 51 (2006) 267-294.
46. J. L. V. Lewandowski, L. E. Zakharov, Commun. Comput. Phys 2 (2007) 684.
47. M. F. Adams, Y. Nishimura, Commun. Comput. Phys. 2 (2007) 881.
48. M. Abramowitz, I A. Stegun, Handbook of Mathematical Functions, National Bureau of Standards Applied Mathematics Series-55, Tenth Printing, December 1972.
49. P. N. Brown, A. C. Hindmarsh, J. Appl. Math. Comp. 31 (1989) 40.
50. Y. Saad, Num. Lin. Alg. Applic. 1 (1994) 387.
51. T. D. Rognlien, X. Q. Xu, A. C. Hindmarsh, J. Comput. Phys. 175 (2002) 249-268.
52. W. M. Nevins, X. Q. Xu, T. N. Carlstrom, et at., Proceedings of the 19th International Conference on Fusion Energy, Lyon, France, 14-19 October 2002, IAEA-CN-94/THP3/07.
53. P. B. Snyder, H. R. Wilson, et at., Phys. Plasmas 9 (2002) 2037;
54. H. R. Wilson, P. B. Snyder, et at., Phys. lasmas 9 (2002) 1277.
55. J. R. Myra M. Umansky, The 35th European Physical Society Conference on Plasma Physics, 9-13 June 2008 (35th EPS), Hersonissos, Crete, Greece, Lodestar Report #LRC-08-120, April, 2008, http://www.lodestar.com/ LRCreports/Linear%20Analysis%20LRC%20Report.pdf.
56. M. V. Umansky, X. Q. Xu, B. Dudson, L..L Lodestro, BOUT code manual, LLNL, June, 2006. Available from http://www.mfescience.org/bout/. Comput. Phys. Commun., 2008, submitted.
57. S. Schlesinger, Simulation 32 (1979) 103.
58. M. Greenwald, Computer Phys. Commun. 164 (2004) 1;
59. P. W. Terry, M. Greenwald, J.-N. Leboeuf, et al., Phys. Plasma 15 (2008) 062503.
60. P. J. Roache, Verification and Validation in Computational Science and Engineering, Hermosa Publishers, Albuquerque, New Mexico, 1998;
61. P. J. Roache, Fundamentals of Computational Fluid Dynamics, Hermosa Publishers, Albuquerque, 1998.
62. P. J. Roache, J. Fluid. Eng., Transactions of the ASME 124 (2002) 4-10.
63. W. L. Oberkampf and T. G. Trucano, Prog. Aerosp. Sci. 38 (2002) 209;
64. W. L. Oberkampf and M. F. Barone, J. Comp. Phys. 217 (2006) 5.
65. X. Q. Xu, W. M. Nevins, et al., Phys. Plasmas 10 (2003) 1773.
66. B. LaMombard, R. L. Boivin, M. Greenwald, et al., Phys. Plasmas 8 (2001) 2107;
67. B. LaBombard, J. W. Hughes, D. Mossessian, M. Greenwald, B. Lipshultz, J. L. Terry, et al., Nucl. Fusion 45 (2005) 1658.
68. J. L. Terry, S. J. Zweben, et al., Phys. Plasmas 10 (2003) 1739;
69. T. L. Jerry, J. L. Terry, N. P. Basse, I. Cziegler, et al., Nucl. Fusion 45 (2005) 1321.
70. D. A. D'Ippolitoa, J. R. Myra, Phys. Plasmas 13 (2006) 062503.
71. T. W. Petrie, A. G. Kellman, et al., Nucl. Fusion 33 (1993) 929.
72. S. I. Krasheninnikov, Phys. Lett. A 283 (2001) 368.
73. J. R. Myra, D. A. D'Ippolito, D. P. Stotler, S. J. Zweben, B. P. LeBlanc, J. E. Menard, R. J. Maqueda, J. Boedo, Phys. Plasmas 13 (2006) 092509.
74. Y. Sarazin, P. Ghendrih, Phys. Plasmas 5 (1998) 4214.
75. D. A. D'Ippolito, J. R. Myra, D. A. Russell, et al., 20th IAEA Fusion Energy Conference (Vilamoura, Portugal, 1-6 November 2004), IAEA-CN-116/ TH/P6-2.
76. M. V. Umansky, T. D. Rognlien, X. Q. Xu, J. Nucl. Mater. 337-339 (2004) 266-270.
77. X. Q. Xu, W. M. Nevins, et al., Contr. Plasma Phys. 44 (2004) 105.
78. X. Q. Xu, R. H. Cohen, W. M. Nevins, T. D. Rognlien, D. D. Ryutov, M. V. Umansky, L. D. Pearlstein, R. H. Bulmer, D. A. Russell, J. R. Myra, D. A. D'Ippolito, M. Greenwald, P. B. Snyder, M. A. Mahdavi, 20th IAEA Fusion Energy Conference Vilamoura, Portugal, 1-6 November 2004, IAEA-CN-116/TH/1-5,(2004). http: //www-pub.iaea.org/MTCD/Meetings/ PDFplus/fusion-20-preprints/TH-1-5.pdf.
79. R. J. Groebner, et al., 19th IAEA FEC (Lyon, 2002) IAEA-CN-94/EX/C2-3.