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Computation of zero β three-dimensional equilibria with magnetic islands

Publication ,  Journal Article
Reiman, AH; Greenside, HS
Published in: Journal of Computational Physics
January 1, 1990

A Picard iteration scheme has been implemented for the computation of toroidal, fully three-dimensional, zero β equilibria with islands and stochastic regions. Representation of the variables in appropriate coordinate systems has been found to be a key to making the scheme work well. In particular, different coordinate systems are used for solving magnetic differential equations and Ampere's law. The current profile is adjusted when islands and stochastic regions appear. An underrelaxation of the current profile modifications is generally needed for stable iteration of the algorithm. Some examples of equilibrium calculations are presented. © 1990.

Duke Scholars

Published In

Journal of Computational Physics

DOI

EISSN

1090-2716

ISSN

0021-9991

Publication Date

January 1, 1990

Volume

87

Issue

2

Start / End Page

349 / 365

Related Subject Headings

  • Applied Mathematics
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Reiman, A. H., & Greenside, H. S. (1990). Computation of zero β three-dimensional equilibria with magnetic islands. Journal of Computational Physics, 87(2), 349–365. https://doi.org/10.1016/0021-9991(90)90257-2
Reiman, A. H., and H. S. Greenside. “Computation of zero β three-dimensional equilibria with magnetic islands.” Journal of Computational Physics 87, no. 2 (January 1, 1990): 349–65. https://doi.org/10.1016/0021-9991(90)90257-2.
Reiman AH, Greenside HS. Computation of zero β three-dimensional equilibria with magnetic islands. Journal of Computational Physics. 1990 Jan 1;87(2):349–65.
Reiman, A. H., and H. S. Greenside. “Computation of zero β three-dimensional equilibria with magnetic islands.” Journal of Computational Physics, vol. 87, no. 2, Jan. 1990, pp. 349–65. Scopus, doi:10.1016/0021-9991(90)90257-2.
Reiman AH, Greenside HS. Computation of zero β three-dimensional equilibria with magnetic islands. Journal of Computational Physics. 1990 Jan 1;87(2):349–365.
Journal cover image

Published In

Journal of Computational Physics

DOI

EISSN

1090-2716

ISSN

0021-9991

Publication Date

January 1, 1990

Volume

87

Issue

2

Start / End Page

349 / 365

Related Subject Headings

  • Applied Mathematics
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences