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Title: New method for computing ideal MHD normal modes in axisymmetric toroidal geometry

Abstract

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.

Authors:
;
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
OSTI Identifier:
6339386
Report Number(s):
PPPL-2162
ON: DE85004402
DOE Contract Number:  
AC02-76CH03073
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Wysocki, F, and Grimm, R C. New method for computing ideal MHD normal modes in axisymmetric toroidal geometry. United States: N. p., 1984. Web. doi:10.2172/6339386.
Wysocki, F, & Grimm, R C. New method for computing ideal MHD normal modes in axisymmetric toroidal geometry. United States. https://doi.org/10.2172/6339386
Wysocki, F, and Grimm, R C. 1984. "New method for computing ideal MHD normal modes in axisymmetric toroidal geometry". United States. https://doi.org/10.2172/6339386. https://www.osti.gov/servlets/purl/6339386.
@article{osti_6339386,
title = {New method for computing ideal MHD normal modes in axisymmetric toroidal geometry},
author = {Wysocki, F and Grimm, R C},
abstractNote = {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.},
doi = {10.2172/6339386},
url = {https://www.osti.gov/biblio/6339386}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Nov 01 00:00:00 EST 1984},
month = {Thu Nov 01 00:00:00 EST 1984}
}