Linear instability analysis for toroidal plasma flow equilibria
type: Item
instance of: scholarly article
title: Linear instability analysis for toroidal plasma flow equilibria
zbMATH Open document ID: 0849.76070
author: V. Varadarajan
author: G. H. Miley
published in: Journal of Computational Physics
publication date: 1996-07-02T00:00:00Z
review text: The non-self-adjoint Frieman-Rotenberg equation for the linear ideal magnetohydrodynamic modes in flow equilibria is numerically solved in shaped finite-aspect ratio axisymmetric tokamak geometry. A quadratic form is derived from this equation, and, in particular, the self-adjoint force operator with finite toroidal rotation is cast into a manifestly self-adjoint form. The toroidal rotational velocities in the subsonic regime are considered. The quadratic form is discretized by a mixed finite element procedure in the radial direction and by Fourier modes in the periodic directions. The analysis takes into account the plasma rotation.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76E25
Mathematics Subject Classification ID: 76X05
zbMATH DE Number: 881864
zbMATH Keywords: non-self-adjoint Frieman-Rotenberg equation
zbMATH Keywords: ideal magnetohydrodynamic modes
zbMATH Keywords: axisymmetric tokamak geometry
zbMATH Keywords: self-adjoint force operator
zbMATH Keywords: toroidal rotational velocity
zbMATH Keywords: subsonic regime
zbMATH Keywords: Fourier modes
MaRDI profile type: Publication
full work available at URL: jcph.1996.0034
OpenAlex ID: W2091135684
DOI: 10.1006/JCPH.1996.0034
description: scientific article; zbMATH DE number 881864