Numerical calculations using the full MHD equations in toroidal geometry

Journal Article · Fri Feb 28 23:00:00 EST 1986 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(86)90086-0· OSTI ID:5871047

Charlton, L A; Holmes, J A; Hicks, H R; Lynch, V E; Carreras, B A

A computer code has been constructed that solves the full magnetohydrodynamic (MHD) equations in toroidal geometry. The code is applicable to toroidal devices, including tokamaks, stellarators, and reversed field pinches. A fully implicit numerical technique is used that allows linear eigenvalues and eigenfunctions to be found in a very few computational steps. Although the present work describes the solution of the linearized equations, generalization of the numerical method to the solution of the nonlinear problem is straightforward. Use of the code is illustrated by calculating the n = 1 instability for a tokamak configuration. The results show the structural changes in the eigenfunctions as the plasma pressure is increased.

• Research Organization: Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831
• DOE Contract Number: AC05-84OR21400
• OSTI ID: 5871047
• Journal Information: J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 63:1; ISSN JCTPA
• Country of Publication: United States
• Language: English

Related Subjects

658000 -- Mathematical Physics-- (-1987)
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700107* -- Fusion Energy-- Plasma Research-- Instabilities
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANNULAR SPACE
BOUNDARY CONDITIONS
CLOSED PLASMA DEVICES
COMPUTER CODES
CONFIGURATION
EIGENFUNCTIONS
EIGENVALUES
F CODES
FLUID MECHANICS
FUNCTIONS
HYDRODYNAMICS
INSTABILITY
MAGNETOHYDRODYNAMICS
MECHANICS
PLASMA INSTABILITY
PLASMA PRESSURE
SPACE
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
TOROIDAL CONFIGURATION