Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-27T13:53:42.284Z Has data issue: false hasContentIssue false
  • English
  • Français

Side-conditioned axisymmetric equilibria with incompressible flows

Published online by Cambridge University Press:  01 June 2008

G. N. THROUMOULOPOULOS ,
H. TASSO  and
G. POULIPOULIS
G. N. THROUMOULOPOULOS
Affiliation:
University of Ioannina, Association Euratom - Hellenic Republic, Section of Theoretical Physics, GR 451 10 Ioannina, Greece ([email protected])
H. TASSO
Affiliation:
Max-Planck-Institut für Plasmaphysik, Euratom Association, D-85748 Garching, Germany
G. POULIPOULIS
Affiliation:
University of Ioannina, Association Euratom - Hellenic Republic, Section of Theoretical Physics, GR 451 10 Ioannina, Greece ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

Axisymmetric equilibria with incompressible flows of arbitrary direction are studied in the framework of magnetohydrodynamics under a variety of physically relevant side conditions consisting, for example, in that the plasma temperature or the magnetic field modulus are uniform on magnetic surfaces. To this end a set of pertinent nonlinear ordinary differential equations (ODEs) are transformed to quasilinear ODEs and the respective initial value problem is solved numerically with appropriately determined initial values near the magnetic axis. Several equilibrium configurations are then constructed surface by surface. It turns out that in addition to the usual configurations with a magnetic axis, the non-field aligned flow results to novel toroidal shell equilibria in which the plasma is confined within a couple of magnetic surfaces. In addition, the flow affects the elongation and triangularity of the magnetic surfaces and opens up the possibility of changing the magnetic field topology by creating double toroidal shell-like configurations.

Type
Papers
Information
Journal of Plasma Physics , Volume 74 , Issue 3 , June 2008 , pp. 327 - 344
Copyright
Copyright © Cambridge University Press 2007

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

[1]Tasso, H. and Throumoulopoulos, G. N. 1998 Phys. Plasmas 5, 2378.CrossRefGoogle Scholar
[2]Shafranov, V. D. 1966 Rev. Plasma Phys. 2, 103.Google Scholar
[3]Solovév, L. S. 1976 Rev. Plasma. Phys. 6, 239.Google Scholar
[4]Hernegger, F. 1972 Proceedings of the 5th EPS Conference on Controlled Fusion and Plasma Physics, Grenoble, 1972, Vol. I (ed. Canobbio, E. et al. .). Grenoble: Commissariat a l'Energie Atomique, p. 26.Google Scholar
[5]Maschke, E. K. 1973 Plasma Phys. 15, 535.CrossRefGoogle Scholar
[6]Simintzis, Ch., Throumoulopoulos, G. N., Pantis, G. and Tasso, H. 2001 Phys. Plasmas 8, 2641.CrossRefGoogle Scholar
[7]Throumoulopoulos, G. N., Poulipoulis, G., Pantis, G. and Tasso, H. 2003 Phys. Lett. A 317, 463.CrossRefGoogle Scholar
[8]Poulipoulis, G., Throumoulopoulos, G. N. and Tasso, H. 2005 Phys. Plasmas 12, 042112.CrossRefGoogle Scholar
[9]Palumbo, D. 1968 Nuovo Cimento B 53, 507.CrossRefGoogle Scholar
[10]Bishop, C. M. and Taylor, J. B. 1986 Phys. Fluids 29, 1114.CrossRefGoogle Scholar
[11]Schief, W. K. 2003 Phys. Plasmas 10, 2677.CrossRefGoogle Scholar
[12]Tasso, H. and Throumoulopoulos, G. N. 2004 Nuovo Cimento B 119, 959.Google Scholar
[13]Clemente, R. A. 1993 Nucl. Fusion 33, 963.CrossRefGoogle Scholar
[14]Morrison, P. J. 1986 A generalized energy principle. Talk at the Plasma Physics Division Meeting of the APS, Baltimore, MD 1986.Google Scholar
[15]Byrd, P. F. and Friedman, M. D. 1971 Handbook of Elliptic Integrals for Engineers and Scientists, 2nd edn.New York: Springer, p. 252.CrossRefGoogle Scholar
[16]Tasso, H. 1996 Phys. Lett. A 222, 97.CrossRefGoogle Scholar
[17]Bronstein, I. N. and Semendjajew, K. A. 1996 Teubner-Taschenbuch der Mathematik. Leipzig: Teubner, pp. 650–651.Google Scholar