Accurate calculations of field-reversed axisymmetric equilibria and their MHD stability properties

Journal Article · Sat Aug 01 00:00:00 EDT 1981 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(81)90246-1· OSTI ID:6108045

Anderson, D V; Barnes, D C

Finite elements with bi-cubic, B-spline basis functions are used to represent the flux functions of an axisymmetric, field-reversed plasma. Equilibria, in this representation, are obtained by the collocation method and a generalized ICCG algorithm. For the infinite, toroidal-mode number limit of the MHD energy principle, coupled Sturm--Liouville-like equations result on each flux line. A secant-bisection shooting method employing the gridless Gear integrator is used to find very accurate eigenfunctions, eigenvalues, and growth rates from the continuous-spline representation of the fields. Precise agreement with some exact analytic work is obtained.

• Research Organization: Lawrence Livermore National Laboratory, University of California, California 94550
• OSTI ID: 6108045
• Journal Information: J. Comput. Phys.; (United States), Vol. 41:1
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
EQUILIBRIUM PLASMA
STABILITY
MAGNETOHYDRODYNAMICS
COMPUTER CODES
A CODES
ALGORITHMS
BALLOONING INSTABILITY
EIGENFUNCTIONS
EIGENVALUES
M CODES
R CODES
S CODES
STURM-LIOUVILLE EQUATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID MECHANICS
FUNCTIONS
HYDRODYNAMICS
INSTABILITY
MATHEMATICAL LOGIC
MECHANICS
PLASMA
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
640430* - Fluid Physics- Magnetohydrodynamics