Toroidally symmetric polynomial multiple solutions of the Vector Laplace equation

Journal Article · Sun Jun 01 04:00:00 EDT 1986 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(86)90041-0· OSTI ID:5728208

Reusch, M F; Neilson, G H

A coherent method is given for generating to arbitrary order, the toroidally symmetric, polynomial multipole solutions of the vector Laplace (Grad-Shafranov operator) equation. In a source-free region, the toroidal component toroidally symmetric magnetic vector potential may be conveniently expanded in terms of these multipoles which at large aspect ratio reduce to the simple cylindrical form (X + iZ)/sup m/. The set of multipoles considered in previous work is shown to be incomplete and additional ones are derived which partially resolve this difficulty. The expansion technique is criticized, and several practical examples are given.

• Research Organization: Plasma Physics Laboratory, James Forrestal Campus, Princeton University, Princeton, New Jersey 08536
• DOE Contract Number: AC02-76CH03073
• OSTI ID: 5728208
• Journal Information: J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 64:2; ISSN JCTPA
• Country of Publication: United States
• Language: English

Related Subjects

658000* -- Mathematical Physics-- (-1987)
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700105 -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
ANNULAR SPACE
CLOSED PLASMA DEVICES
CONFIGURATION
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUILIBRIUM
FUNCTIONS
GREEN FUNCTION
LAPLACE EQUATION
MAGNETIC FIELDS
MULTIPOLES
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
POLYNOMIALS
SPACE
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
TOROIDAL CONFIGURATION