An approximate factorization procedure for solving nine-point elliptic difference equations: Application for a fast 2-D relativistic Fokker-Planck solver

Computer Physics Communications

Volumn 109, Issue 1, 1998, Pages 55-80

  Peysson, Y ^a   Shoucri, M ^b  

^a Association Euratom CEA   (France)

^b Cent Canadien de Fusion Magnetique   (Canada)

Author keywords

Electron cyclotron heating; Fokker Planck; Lower hybrid current drive; Matrix factorization; Nine point elliptic difference equations; Strongly implicit procedure; Synergetic effects

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; FORTRAN (PROGRAMMING LANGUAGE); MATHEMATICAL OPERATORS; PLASMA SIMULATION; PROBLEM SOLVING; TOKAMAK DEVICES;

ELECTRON CYCLOTRON HEATING; FACTORIZATION; FOKKER-PLANCK SOLVER; LOWER HYBRID CURRENT DRIVE; NINE POINT ELLIPTIC DIFFERENCE EQUATIONS; SYNERGETIC EFFECTS;

DIFFERENCE EQUATIONS;

EID: 0032028203     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4655(97)00143-4     Document Type: Article

References (22)

1. H.L. Stones, SIAM J. Numer. Anal. 5 (1968) 530.
2. C.R. Jesshope, Comput. Phys. Commun. 17 (1979) 383.
3. D.A.H. Jacobs, Central Electricity Research Laboratory Note, RD/L/N66/72 (1972).
4. C.F.F. Karney, Comput. Phys. Rep. 4 (1986) 183.
5. M. Shoucri, I. Shkarofsky, Comput. Phys. Commun. 82 (1994) 287.
6. NAG Fortran Library (Numerical Algorithms Group, 256 Banbury Road, Oxford OX27DE, UK).
7. P.T. Bonoli, R.C. Englade, Phys. Fluids 29 (1986) 2937.
8. W.H. Press, B.P. Flannery, S.A. Teukolsky, W.T. Vetterling, in: Numerical Recipes (Cambridge Univ. Press, Cambridge, 1986).
9. O. Axelsson, in: Iterative Solution Methods (Cambridge Univ. Press, Cambridge, 1994).
10. G.H. Golub, G.A. Meurant, in: Résolution Numérique des Grands Systèmes Linéaires (Editions Eyrolles, Paris, 1983).
11. H.G. Weinstein, H.L. Stone, T.V. Kwam, Indus. & Eng. Chem. 8(2) (1969) 281.
12. M. Shoucri, I. Shkarofsky, Y. Peysson, CCFM Report 465 (1996).
13. M. Shoucri, I. Shkarofsky, V. Fuchs, K. Kupfer, A. Bers, S. Luckhardt, Comput. Phys. Comm. 55 (1989) 253; see also CCFM Report 467 (1996).
14. M. Shoucri, I. Shkarofsky, V. Fuchs, K. Kupfer, A. Bers, S. Luckhardt, Comput. Phys. Comm. 55 (1989) 253; see also CCFM Report 467 (1996).
15. B. Braams, C.F. Karney, Phys. Fluids B 1 (1989) 1355.
16. J.S. Chang, G. Cooper, J. Comput. Phys. 6 (1970) 1.
17. Y. Peysson, R. Arslanbekov, G.T. Hoang, X. Litaudon, E. Sébelin, I.P. Shkarofsky, M. Shoucri, Proc. 23th European Conf. on Controlled Fusion and Plasma Physics, Kiev, D. Grésillon, A. Sitenko, A. Zagorodny, eds., Vol. 20C, Part II (European Physical Society, Petit-Lancy, Switzerland, 1996) p. 942.
18. Y. Peysson, E. Sébelin, X. Litaudon, D. Moreau, J.C. Miellou, M. Shoucri, I.P. Shkarofsky, in: Proc. 24th European Conf. on Controlled Fusion and Plasma Physics, Berchtesgaden, M. Schittenhelm, R. Bartiromo, F. Wagner, eds., Vol. 21A, Part I (European Physical Society, Petit-Lancy, Switzerland, 1997) p. 225.
19. R.W. Harvey, M.G. McCoy, The CQL3D Fokker-Planck code, paper presented at AIEA Tech. Comm. Mtg on Advances in Simulation and Modeling Thermonuclear plasmas, Montreal (1992).
20. M.R. O'Brien, M. Cox, J.S. McKenzie, Nucl. Fusion 31 (1991) 583.
21. G. Giruzzi, Plasma Phys. Control. Fusion 35 (1993) A123.
22. I.P. Shkarofsky, M. Shoucri, Nucl. Fusion 37 (1997) 539.