Variational method for the three-dimensional inverse-equilibrium problem in toroids

Technical Report · Sun May 01 00:00:00 EDT 1983

OSTI ID:6146595

Bhattacharjee, A; Wiley, J C; Dewar, R L

A variational method is developed for three-dimensional magnetostatic equilibria in toroids. We represent equilibria in cylindrical inverse variables R(v, theta, zeta), phi (v, theta, zeta), and Z (v, theta, zeta), where v is a radial flux surface label, theta, a poloidal angle, and zeta, a toroidal angle. We Fourier-expand in theta and zeta and derive, from the variational principle, a set of ordinary differential equations for the amplitudes in v. Truncation of the infinite Fourier series leads to a reduced set of equations which we solve numerically by collocation to obtain two- and three-dimensional toroidal equilibria.

• Research Organization: Texas Univ., Austin (USA). Inst. for Fusion Studies; Princeton Univ., NJ (USA). Plasma Physics Lab.
• DOE Contract Number: FG05-80ET53088
• OSTI ID: 6146595
• Report Number(s): DOE/ET/53088-48-Rev.; IFSR-48-Rev.; ON: DE83012924
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700105* -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
ANNULAR SPACE
CONFIGURATION
EQUILIBRIUM PLASMA
FOURIER ANALYSIS
INSTABILITY
PLASMA
PLASMA INSTABILITY
SPACE
THREE-DIMENSIONAL CALCULATIONS
TOROIDAL CONFIGURATION
TRANSPORT THEORY
VARIATIONAL METHODS