Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-27T14:37:25.614Z Has data issue: false hasContentIssue false
  • English
  • Français

Analysis of ideal MHD equilibrium and axisymmetric stability for finite aspect ratio tokamaks with elliptic cross-section and flat current profile

Published online by Cambridge University Press:  13 March 2009

R. Grauer  and
E. Rebhan
R. Grauer
Affiliation:
Institut für Theoretische Physik, Universität Düsseldorf, D-4000 Düsseldorf, FRG
E. Rebhan
Affiliation:
Institut für Theoretische Physik, Universität Düsseldorf, D-4000 Düsseldorf, FRG
Get access Rights & Permissions [Opens in a new window]

Abstract

To calculate the equilibrium and stability of finite aspect ratio tokamaks, even for circular and elliptical plasma cross-sections, intricate numerical methods must usually be employed, which require a fast and large computer. So far, these calculations have been carried out analytically only for infinite aspect ratio. In fact certain analytical equilibrium solutions at finite aspect ratio are known, but these do not include such important cases as elliptical cross-sections. In this paper, finite aspect ratio equilibrium solutions are derived for circular, prolate and oblate elliptical cross-sections and for a flat current profile. In addition, the problem of axisymmetric stability is studied for prolate elliptical cross-sections, the approach being almost entirely analytical.

Type
Research Article
Information
Journal of Plasma Physics , Volume 32 , Issue 1 , August 1984 , pp. 99 - 117
Copyright
Copyright © Cambridge University Press 1984

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Bernstein, I. B., Frieman, E. A., Kruskal, M. D. & Kulsrud, R. M. 1958 Proc. Roy. Soc. A 244, 17.Google Scholar
Chu, M. S. & Miller, R. L. 1978 Phys. Fluids, 21, 817.CrossRefGoogle Scholar
Jukes, J. D. 1970 Nucl. Fusion, 10, 131.CrossRefGoogle Scholar
Kratzsch, K. A. & Rebhan, E. 1983 Proceedings of 11th European Conference on Plasma Physics, Aachen, Part II, p. 201.Google Scholar
Laval, G., Pellat, R. & Soule, J. S. 1974 Phys. Fluids, 17, 835.CrossRefGoogle Scholar
Rebhan, E. 1982 Z. Naturforsch. 37a, 816.CrossRefGoogle Scholar
Rebhan, E. 1984 Z. Naturforsch. 39a, 288.CrossRefGoogle Scholar
Rebhan, E. & Salat, A. 1976 Nucl. Fusion, 16, 805.CrossRefGoogle Scholar
Rebhan, E. & Salat, A. 1977 Nucl. Fusion, 17, 251.CrossRefGoogle Scholar
Soloveev, L. S. 1968 Soviet Phys. JETP, 26, 400.Google Scholar