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Relaxed state of a toroidal fusion plasma with stationary flows

Published online by Cambridge University Press:  13 March 2009

R. Żelazny  and
A. Gałkowski
R. Żelazny
Affiliation:
Institute of Plasma Physics and Laser Microfusion, Warsaw, Poland
A. Gałkowski
Affiliation:
Institute of Plasma Physics and Laser Microfusion, Warsaw, Poland
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Abstract

Relaxation of a plasma in the presence of zeroth-order flows is studied in a realistic toroidal geometry. The field-aligned flow allows equilibria with finite pressure gradient but homogeneous temperature distribution. Numerical calculations have been performed for the first and second ellipticity regimes of the extended Grad–Shafranov–Schlüter equation. Two distinct classes of solutions exist, depending on the value of the safety factor: one with horizontally stratified density and pressure and one with concentric surfaces of constant density. A comparison of these results is made with those of Finn and Antonsen.

Type
Research Article
Information
Journal of Plasma Physics , Volume 50 , Issue 3 , December 1993 , pp. 385 - 401
Copyright
Copyright © Cambridge University Press 1993

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References

Agim, Y. Z. & Tataronis, J. A. 1985 J. Plasma Phys. 34, 337.Google Scholar
Bodin, H. A. B. & Newton, A. A. 1980 Nucl. Fusion 20, 1255.CrossRefGoogle Scholar
Cooper, W. A. & Hirshman, S. P. 1987 Plasma Phys. Contr. Fusion 29, 933.CrossRefGoogle Scholar
Core, W. G. F., van, Beel P., Sadler, G. et al. 1987 Proceedings of the 14th European Conference on Controlled Fusion and Plasma Physics, Madrid (ed. Engelmann, F.Rivas, J. L. Alvarez), p. 49.European Physical Society.Google Scholar
Dobrott, D. & Greene, J. M. 1970 Phys. Fluids 13, 2391.Google Scholar
Elsässer, K. & Heimsoth, A. 1986 Z. Naturforsch. A 41, 883.Google Scholar
Finn, J. M. & Antonesen, T. M. 1983 Phys. Fluids 26, 3540.Google Scholar
Frisch, U., Pouquet, A., Leorat, J. & Mazure, A. 1985 J. Fluid Mech. 68, 769.Google Scholar
Grek, B., Park, H., Goldston, R. J. et al. 1987 Proceedings of the 14th European Conference on Controlled Fusion and Plasma Physics, Madrid (ed. EngelmannRivas, F. J. L. Alvarez), p. 132. European Physical Society.Google Scholar
Groebner, R. J., Gohil, P., Burrell, K. H. et al. 1989 Proceedings of the 16th European Conference on Controlled Fusion and Plasma Physics, Venice, part I, p. 245. European Physical Society.Google Scholar
Hameiri, E. 1983 Phys. Fluids 26, 230.Google Scholar
Hasegawa, A. 1985 Adv. Phys. 34, 1.Google Scholar
Hofmann, J. V., Field, A. R., Fussmann, G. et al. 1990 Proceedings of the 17th European Conference on Controlled Fusion and Plasma Heating, Amsterdam, vol. 14B, part IV (ed. Briffod, G., Nijsen-vis, A.& Schüller, F. C.), p. 1556. European Physical Society.Google Scholar
Horiuchi, R. & Sato, T. 1986 Phys. Fluids 29, 1161.Google Scholar
Horiuchi, R. & Sato, T. 1988 Phys. Fluids 31, 1142.CrossRefGoogle Scholar
Infeld, E. 1971 Phys. Fluids 14, 2054.CrossRefGoogle Scholar
Isler, R. C., Murray, L. E., Crume, C. et al. 1983 Nucl. Fusion 23, 1017.Google Scholar
Kerner, W. & Jandl, O. 1984 Comput. Phys. Commun. 31, 269.Google Scholar
Kerner, W. & Tokuda, S. 1987 Z. Naturforsch. A 42, 1154.Google Scholar
Laing, E. W., Roberts, S. I. & Whipple, R. T. P. 1959 J. Nucl. Energy C 1, 49.Google Scholar
Maschke, E. K. & Perrin, H. 1980 Plasma Phys. 22, 579.Google Scholar
Scott, S. P., Bitter, M., Hsuan, H. et al. 1987 Proceedings of the 14th European Conference on Controlled Fusion and Plasma Physics, Madrid (ed. Engelmann, F.& Rivas, J. L. Alvarez), p. 65. European Physical Society.Google Scholar
Semenzato, S., Gruber, R. & Zehrfeld, H. P. 1984 Comput. Phys. Rep. 1, 389.CrossRefGoogle Scholar
Takeda, T. & Tokuda, S. 1991 J. Comput. Phys. 93, 1.CrossRefGoogle Scholar
Taylor, J. B. 1986 Rev. Mod. Phys. 58, 741.Google Scholar
Taylor, R., Conn, R., Fried, B. et al. 1990 Proceedings of the 13th IAEA Conference on Plasma Physics and Controlled Nuclear Fusion, Washington, paper CN–53/A–6–5. International Atomic Energy Agency.Google Scholar
Woltjer, L. 1959 Astrophys. J. 130, 405.Google Scholar
Zehrfeld, H. P. & Green, B. J. 1972 Nucl. Fusion 12, 569.Google Scholar
Żelazny, R., Stankiewicz, R., Galkowski, A. & Potempski, S. 1992 Proceedings of the 1992 International Conference on Plasma Physics, Innsbruck, vol. 16C, part II (ed. Freysinger, W., Lackner, K., Schrittwieser, R. & Lindinger, W.), p. 1537. European Physical Society.Google Scholar
Żlazny, R.Stankiewicz, R.Galkowski, A & Potempski, S. 1993 Plasma Phys. Contr. Fusion 34, 1.Google Scholar
Żlazny, R.Stankiewicz, R.Galkowski, A & Potempski, S.Pietak, R. 1991 Plasma equilibria and stationary flows in axisymmetric systems, Part III. JET Joint Undertaking, Report JET-R(91)05.Google Scholar