Convergent spectral representation for three-dimensional inverse MHD equilibria

Technical Report · Mon Oct 01 00:00:00 EDT 1984

DOI:https://doi.org/10.2172/6440724· OSTI ID:6440724

Hirshman, S. P.

By rearranging terms in a polar representation for the cylindrical spatial coordinates (R, theta, Z), a renormalized Fourier series moment expansion is obtained that possesses superior convergence properties in mode number space. This convergent spectral representation also determines a unique poloidal angle and thus resolves the underdetermined structure of previous moment expansions. A conformal mapping technique is used to demonstrate the existence and uniqueness of the new representation.

• Research Organization: Oak Ridge National Lab., TN (USA)
• DOE Contract Number: AC05-84OR21400
• OSTI ID: 6440724
• Report Number(s): ORNL/TM-9302; ON: DE85000866
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
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CONFORMAL MAPPING
EQUILIBRIUM
FLUID MECHANICS
FOURIER ANALYSIS
HYDRODYNAMICS
MAGNETIC FLUX
MAGNETOHYDRODYNAMICS
MAPPING
MECHANICS
PLASMA
THREE-DIMENSIONAL CALCULATIONS
TOPOLOGICAL MAPPING
TRANSFORMATIONS