Eulerian codes for the numerical solution of the Vlasov equation

Communications in Nonlinear Science and Numerical Simulation

Volumn 13, Issue 1 SPEC. ISS., 2008, Pages 174-182

  Shoucri, M ^a  

^a HYDRO QUÉBEC   (Canada)

Author keywords

Eulerian codes; Vlasov equation

Indexed keywords

EULER EQUATIONS; INTERPOLATION; MAXWELL EQUATIONS; NUMERICAL METHODS; PHASE SPACE METHODS; POISSON EQUATION;

CUBIC SPLINE; EULERIAN GRID; VLASOV EQUATION;

BEAM PLASMA INTERACTIONS;

BEAM PLASMA INTERACTIONS; EULER EQUATIONS; INTERPOLATION; MAXWELL EQUATIONS; NUMERICAL METHODS; PHASE SPACE METHODS; POISSON EQUATION;

EID: 34547442586     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2007.04.004     Document Type: Review

References (84)

1. Knorr G. Z Naturforsch 13a (1958) 941
2. Knorr G. Z Naturforsch 18a (1963) 1304
3. Armstrong T.P., Harding R.C., Knorr G., and Montgomery D. Plasma physics. Methods in Computational Physics vol. 9 (1969), Academic Press, NY p. 30
4. Joyce G., Knorr G., and Meier H. J Comp Phys 8 (1971) 53
5. Knorr G. J Comp Phys 10 (1973) 165
6. Shoucri M., and Gagné R. J Comp Phys 21 (1976) 238
7. Shoucri M., and Gagné R. J Comp Phys 23 (1976) 242
8. Shoucri M., and Gagné R. J Comp Phys 25 (1977) 94
9. Schumer J.W., and Holloway J.P. J Comp Phys 144 (1998) 626
10. Cheng C.Z., and Knorr G. J Comp Phys 22 (1976) 330
11. Shoucri M., and Gagné R. J Comp Phys 24 (1997) 445
12. Shoucri M., and Gagné R. Phys Fluids 21 (1978) 1168
13. Shoucri M., and Gagné R. IEEE Plasma Sci PS-6 (1978) 245
14. Shoucri M. Phys Fluids 21 (1978) 1359
15. Shoucri M. Phys Fluids 22 (1979) 2038
16. Shoucri M. Phys Fluids 23 (1980) 2030
17. Shoucri M. J Phys 40 (1979) 38
18. Shoucri M., and Storey O. Phys Fluids 29 (1986) 262
19. Simon A., et al. Phys Fluids 31 (1988) 217
20. Ghizzo A., Izrar B., Bertrand P., Fijalkow E., Feix M., and Shoucri M. Phys Fluids 31 (1988) 72
21. Bertrand P, Ghizzo A, Feix M, Fijalkow E, Mineau P, Suh ND, et al. In: Doveil F, editor. Nonlinear Phenomena in Vlasov Plasmas, Cargèse Workshop; July 1988. p. 109.
22. Cheng C.Z. J Comp Phys 24 (1977) 348
23. Shoucri M., and Gagné R. J Comp Phys 27 (1978) 315
24. Shoucri M. In: Proceedings 10th annual Pittsburgh conference, modeling and simulation. Ed. Instrument Soc. of America, vol. 10; 1979. p. 1187.
25. Shoucri M. IEEE Plasma Sci PS-7 (1979) 69
26. Johnson L.E. J Plasma Phys 23 (1980) 433
27. Rickman J.D. IEEE Plasma Science PS-10 (1982) 45
28. Ghizzo A., Bertrand P., Shoucri M., Johnston T., Feix M., et al. J Comp Phys 90 (1990) 431
29. Bertrand P., Ghizzo A., Johnston T., Shoucri M., Fijalkow E., et al. Phys Fluids B2 (1990) 1028
30. Johnston T., Bertrand P., Ghizzo A., Shoucri M., Fijalkow E., et al. Phys Fluids B4 (1992) 2523
31. Ghizzo A., Shoucri M., Bertrand P., Johnston T., and Lebas J. J Comp Phys 108 (1993) 373
32. Shoucri M., Bertrand P., Ghizzo A., Lebas J., and Johnston T. Phys Letters A 156 (1991) 76
33. Ghizzo A., Bertrand P., Lebas J., Shoucri M., Johnston T., et al. J Comp Phys 102 (1992) 417
34. Bertrand P., Ghizzo A., Karttunen S., Pättikangas T., Salomaa R., and Shoucri M. Phys Plasmas 2 (1995) 3115
35. Bertrand P., Ghizzo A., Karttunen S., Pättikangas T., Salomaa R., and Shoucri M. Phys Rev E 49 (1994) 5656
36. Ghizzo A., Bertrand P., Bégué M.L., Johnston T., et al. IEEE Plasma Sci 24 (1996) 370
37. Bégué M.L., Ghizzo A., and Bertrand P. J Comp Phys 151 (1999) 458
38. Ghizzo A., Bertrand P., Shoucri M., Johnston T., Fijalkow E., et al. Nucl Fusion 32 (1992) 45
39. Joyce G, Krall J, Slinker S. NRL Memorandum report 6772; June 1991.
40. Ruhl H., and Mulser P. Phys Lett A 205 (1995) 388
41. Brunner S., and Valeo E. Phys Rev Lett 93 (2004) 145003
42. Strozzi D., Shoucri M., Bers A., Williams E., and Langdon A.B. J Plasma Phys 72 (2006) 1299
43. Strozzi D., Williams E., Langdon A.B., and Bers A. Phys Plasmas 14 (2007) 013104
44. Manfredi G., Shoucri M., Feix M., Bertrand P., et al. J Comp Phys 121 (1995) 298
45. Manfredi G., Shoucri M., Shkarofsky I., Ghizzo A., et al. Fusion Technol 29 (1996) 24
46. Manfredi G., Shoucri M., Dendy R.O., Ghizzo A., et al. Phys Plasmas 3 (1996) 202
47. Manfredi G., Shoucri M., Bertrand P., Ghizzo A., Knorr G., et al. Phys Scripta 58 (1998) 159
48. Shoucri M., Lebas J., Knorr G., Bertrand P., Ghizzo A., et al. Phys Scripta 55 (1997) 617
49. Shoucri M., Manfredi G., Bertrand P., Ghizzo A., Knorr G., et al. J Plasma Phys 61 (1999) 191
50. Karttunen S., Pättikangas T., Salomaa R., Shoucri M., et al. Phys Scripta 60 (1999) 356
51. Jenko F. Phys Plasmas 7 (2000) 1904
52. Grangirard V., Brunetti M., et al. J Comp Phys 217 (2006) 395
53. Candy J., and Waltz R.E. J Comp Phys 186 (2003) 545
54. Candy J., and Waltz R.E. Phys Rev Lett 91 (2003) 045001
55. Watanabe T.-H., Sugama H., and Sato T. J Phys Soc Jpn 70 (2001) 3565
56. Klimas A.J., and Farrell W.M. J Comp Phys 110 (1994) 150
57. Watanabe T.-H., and Sugama H. Trans Theory Stat 34 (2005) 287
58. Nakamura T., and Yabe T. Comp Phys Commun 120 (1999) 122
59. Fijalkow E. Comp Phys Commun 116 (1999) 319
60. Horne R.B., and Freeman M.P. J Comp Phys 171 (2001) 182
61. Mangeney A., Califano F., Cavazzoni C., and Travnicek P. J Comp Phys 179 (2002) 475
62. Arber T.D., and Vann R.G.L. J Comput Phys 180 (2002) 339
63. Pohn E., Shoucri M., et al. Comp Phys Commun 166 (2005) 81
64. Pohn E, Shoucri M. Commun Nonlinear Sci Numer Simul, this issue.
65. Demeio L., and Zweifel P.F. Phys Fluids B3 (1991) 501
66. Califano F., and Pegoraro F. Trans Theory Stat Phys 32 (2003) 413
67. Krane B., Christopher I., Shoucri M., and Knorr B. Phys Rev Lett 80 (1998) 4422
68. Sonnendrücker E., Barnard J., et al. Nucl Instrum Meth Phys Res A 464 (2001) 653
69. Fibet F., and Sonnendrücker E. Comp Phys Commun 150 (2003) 24
70. Todo Y., Sato T., Watanabe K., Watanabe T.H., and Horiuchi R. Phys Plasmas 2 (1995) 2711
71. Makar P., and Karpik S.R. Mon Weath Rev 124 (1995) 182
72. Sonnendrücker E., Roche J., Bertrand P., and Ghizzo A. J Comp Phys 149 (1998) 201
73. Reprinted from Comp. Phys. Comm., Vol. 154, M. Shoucri, H. Gerhauser, K.-H. Finken, Integration of the Vlasov equation along characteristics in one and two dimensions, p. 68-69, Copyright 2003, with permission from Elsevier.
74. Batishchev O.V., Shoucri M., Batishcheva A., and Shkarofsky I. J Plasma Phys 61 (1999) 347
75. Bertrand P, Shoucri M, Ghizzo A, Izrar B, Feix M, et al. CCFM Report No. 220; January 1987.
76. Pohn E., Shoucri M., and Kamelander G. Comp Phys Commun 137 (2001) 380
77. Pohn E., Shoucri M., and Kamelander G. Comp Phys Commun 137 (2001) 396
78. Shoucri M., Pohn E., Knorr G., Bertrand P., Kamelander G., et al. Phys Plasmas 7 (2000) 2517
79. Shoucri M., Gerhauser H., and Finken K.-H. Comp Phys Commun 164 (2004) 138
80. Huot F., Ghizzo A., Bertrand P., Sonnendrücker E., et al. J Comp Phys 185 (2003) 512
81. Strozzi D., Shoucri M., and Bers A. Comp Phys Commun 164 (2004) 156
82. Shoucri M. The method of characteristics for the numerical solution of hyperbolic differential equations. In: Bianco S.J. (Ed). Computer Physics Research Trends (2007), Nova Science Publishers Inc, NY
83. Shoucri M., Matte J.P., and Côté A. J Phys D: Appl Phys 36 (2003) 2083
84. Nonlinear Vlasov plasmas. In: F. Doveil, editor. Proceedings of the Cargèse International Workshop; July 1988.