Spectral method for obtaining three-dimensional magnetohydrodynamic equilibria

Technical Report · Mon Jul 01 00:00:00 EDT 1985

DOI:https://doi.org/10.2172/5510492· OSTI ID:5510492

Hirshman, S. P.; Lee, D. K.

A description is given of a new code, MOMCON (spectral moments with constraints), that obtains three-dimensional ideal magnetohydrodynamic (MHD) equilibria in a fixed toroidal domain using a Fourier expansion for the inverse coordinates (R,Z) representing nested magnetic surfaces. A set of nonlinear coupled ordinary differential equations for the spectral coefficients of (R,Z) is solved using an accelerated steepest descent method. A stream function lambda is introduced to improve the mode convergence properties of the Fourier series for R and Z. Constraint equations relating the m greater than or equal to 2 moments of R and Z are solved to define a unique poloidal angle.

• Research Organization: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
• DOE Contract Number: AC05-84OR21400
• OSTI ID: 5510492
• Report Number(s): ORNL/TM-9531; ON: DE85015065
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
COMPUTER CODES
M CODES
PLASMA
MAGNETOHYDRODYNAMICS
EQUILIBRIUM
FOURIER ANALYSIS
THREE-DIMENSIONAL CALCULATIONS
FLUID MECHANICS
HYDRODYNAMICS
MECHANICS
700105* - Fusion Energy- Plasma Research- Plasma Kinetics-Theoretical- (-1987)