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An energy functional W is introduced, whose minimisation can be used to determine three dimensional magnetohydrodynamic (MHD) equilibria with anisotropic pressure. The parallel pressure is expressed in terms of the plasma mass function, the toroidal magnetic flux function, the adiabatic index and the function which controls the anisotropy in the pressure. W is then varied with respect to an artificial time parameter so that the first two of these, and the co-ordinates of the magnetic flux surfaces, the periodic poloidal angle and the geometric toroidal angle, remain invariant. This formulation of the 3D anisotropic pressure MHD equilibrium problem lends itself to an easy adaptation of the techniques that resulted in the development of the preconditioned VMEC code for scalar pressure equilibria. A fixed boundary calculation in an ATF torsatron configuration is considered as a sample application.

Additional information

Authors: HIRSHMAN S P, ORNL, Oak Ridge (US);COOPER W A, Centre de Recherches en Physique des Plasmas, Ecole Polytechnique Fédérale de Lausanne, Lausanne (CH);MERAZZI S, IMHEF, Ecole Polytechnique Fédérale de Lausanne, Lausanne (CH);GRUBER R, GASS/CSCS, Manno (CH)
Bibliographic Reference: Paper presented: 19th EPS Conference on Controlled Fusion and Plasma Physics, Innsbruck (AT), June 29 - July 3, 1992
Availability: Available from (1) as Paper EN 36865 ORA
Record Number: 199210701 / Last updated on: 1994-12-02
Original language: en
Available languages: en