New method for computing ideal MHD normal modes in axisymmetric toroidal geometry
Analytic elimination of the two magnetic surface components of the displacement vector permits the normal mode ideal MHD equations to be reduced to a scalar form. A Galerkin procedure, similar to that used in the PEST codes, is implemented to determine the normal modes computationally. The method retains the efficient stability capabilities of the PEST 2 energy principle code, while allowing computation of the normal mode frequencies and eigenfunctions, if desired. The procedure is illustrated by comparison with earlier various of PEST and by application to tilting modes in spheromaks, and to stable discrete Alfven waves in tokamak geometry.
- Research Organization:
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- DOE Contract Number:
- AC02-76CH03073
- OSTI ID:
- 6339386
- Report Number(s):
- PPPL-2162; ON: DE85004402
- Country of Publication:
- United States
- Language:
- English
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New method for computing normal modes in axisymmetric toroidal geometry using a scalar form of ideal MHD
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Wed Oct 01 00:00:00 EDT 1986
· J. Comput. Phys.; (United States)
·
OSTI ID:6339386
Ideal MHD stability calculations in axisymmetric toroidal coordinate systems
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Sat Jan 01 00:00:00 EST 1983
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Ideal MHD stability calculations in axisymmetric toroidal coordinate systems
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Mon Mar 01 00:00:00 EST 1982
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OSTI ID:6339386
Related Subjects
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
PLASMA MACROINSTABILITIES
NUMERICAL SOLUTION
SPHEROMAK DEVICES
TILTING INSTABILITY
ALFVEN WAVES
EIGENVALUES
MAGNETIC SURFACES
TOKAMAK DEVICES
TOROIDAL CONFIGURATION
ANNULAR SPACE
CLOSED PLASMA DEVICES
CONFIGURATION
HYDROMAGNETIC WAVES
INSTABILITY
MAGNETIC FIELD CONFIGURATIONS
PLASMA INSTABILITY
SPACE
THERMONUCLEAR DEVICES
700107* - Fusion Energy- Plasma Research- Instabilities
700202 - Fusion Power Plant Technology- Magnet Coils & Fields
PLASMA MACROINSTABILITIES
NUMERICAL SOLUTION
SPHEROMAK DEVICES
TILTING INSTABILITY
ALFVEN WAVES
EIGENVALUES
MAGNETIC SURFACES
TOKAMAK DEVICES
TOROIDAL CONFIGURATION
ANNULAR SPACE
CLOSED PLASMA DEVICES
CONFIGURATION
HYDROMAGNETIC WAVES
INSTABILITY
MAGNETIC FIELD CONFIGURATIONS
PLASMA INSTABILITY
SPACE
THERMONUCLEAR DEVICES
700107* - Fusion Energy- Plasma Research- Instabilities
700202 - Fusion Power Plant Technology- Magnet Coils & Fields