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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 (gthroum@uoi.gr)
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 (gthroum@uoi.gr)
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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

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