The computation of resistive MHD instabilities in axisymmetric toroidal plasmas
type: Item
instance of: scholarly article
title: The computation of resistive MHD instabilities in axisymmetric toroidal plasmas
zbMATH Open document ID: 0781.76038
DOI: 10.1016/0021-9991(92)90325-S
author: S. Singh
published in: Journal of Computational Physics
publication date: 1993-01-17T00:00:00Z
review text: The paper primarily addresses computationally oriented plasma physicists and treats the problem of resistive magnetohydrodynamics instabilities of axisymmetric toroidal equilibria. This problem is relevant in order to improve the magnetic confinement properties of tokamak fusion reactors. Firstly, two systems of partial differential equations are derived which are used to describe the MHD equilibria and the linearized resistive MHD eigenmodes. The latter system is implemented in a numerical scheme, the NOVA-R code. After describing the numerical methods used in this scheme, numerical results are presented and discussed in cylindrical and toroidal geometry. In the limit of zero plasma resistivity, the NOVA-R code recovers the results of a 2D ideal MHD code, NOVA.
reviewed by: Gerhard Rein
Mathematics Subject Classification ID: 76E25
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 82D10
zbMATH DE Number: 98357
zbMATH Keywords: tokamak plasmas
zbMATH Keywords: cylindrical geometry
zbMATH Keywords: MHD equilibria
zbMATH Keywords: linearized resistive MHD eigenmodes
zbMATH Keywords: NOVA-R code
MaRDI profile type: Publication
cites work: NOVA: A nonvariational code for solving the MHD stability of axisymmetric toroidal plasmas
cites work: Tearing modes in toroidal geometry
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cites work: Compressible linear and nonlinear resistive MHD calculations in toroidal geometry
cites work: Equilibrium of a Magnetically Confined Plasma in a Toroid
cites work: Stability Criterion for Arbitrary Hydromagnetic Equilibria
cites work: Numerical determination of axisymmetric toroidal magnetohydrodynamic equilibria
cites work: An iterative metric method for solving the inverse tokamak equilibrium problem
cites work: Ideal MHD stability calculations in axisymmetric toroidal coordinate systems
cites work: Magnetic coordinates for equilibria with a continuous symmetry
cites work: Q4404383
cites work: A practical guide to splines
full work available at URL: 0021-9991(92)90325-s
OpenAlex ID: W2025752030
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description: scientific article; zbMATH DE number 98357