Electronic Resource
[S.l.]
:
American Institute of Physics (AIP)
Physics of Fluids
28 (1985), S. 869-877
ISSN:
1089-7666
Source:
AIP Digital Archive
Topics:
Physics
Notes:
The characteristics of the partial differential equations describing three-dimensional toroidal magnetohydrodynamic equilibria with nested flux surfaces in inverse flux coordinates are derived and examined. The equilibrium equations are then variationally reduced to a truncated set of ordinary differential equations by decomposing the flux surface geometry into a spectral representation. The magnetic field lines on the flux surfaces are given in terms of a variable stream function to allow optimum choice of the angle coordinates over the flux surfaces and to simplify the treatment in the vicinity of a rational magnetic surface. Analytic properties of the spectral representation and moment equations are considered. Comparative calculations are performed numerically. The results agree well with those calculated using a standard three-dimensional equilibrium code, but the variational spectral method is substantially faster computationally. The Mercier stability criterion is given.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.865056
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