Numerical determination of axisymmetric toroidal magnetohydrodynamic equilibria

J. L. Johnson; H. E. Dalhed; J. M. Greene; R. C. Grimm; Y. Y. Hsieh; S. C. Jardin; J. Manickam; M. Okabayashi; R. G. Storer; A. M.M. Todd; D. E. Voss; K. E. Weimer

doi:10.1016/0021-9991(79)90129-3

Numerical determination of axisymmetric toroidal magnetohydrodynamic equilibria

J. L. Johnson
, H. E. Dalhed
, J. M. Greene
, R. C. Grimm
, Y. Y. Hsieh
, S. C. Jardin
, J. Manickam
, M. Okabayashi
, R. G. Storer
, A. M.M. Todd
, D. E. Voss
, K. E. Weimer

PPPL Theory

Research output: Contribution to journal › Article › peer-review

104 Scopus citations

Abstract

Numerical schemes for the determination of stationary axisymmetric toroidal equilibria appropriate for modeling real experimental devices are given. Iterative schemes are used to solve the elliptic nonlinear partial differential equation for the poloidal flux function ψ. The principal emphasis is on solving the free boundary (plasma-vacuum interface) equilibrium problem where external current-carrying toroidal coils support the plasma column, but fixed boundary (e.g., conducting shell) cases are also included. The toroidal current distribution is given by specifying the pressure and either the poloidal current or the safety factor profiles as functions of ψ. Examples of the application of the codes to tokamak design at PPPL are given.

Original language	English (US)
Pages (from-to)	212-234
Number of pages	23
Journal	Journal of Computational Physics
Volume	32
Issue number	2
DOIs	https://doi.org/10.1016/0021-9991(79)90129-3
State	Published - Aug 1979

All Science Journal Classification (ASJC) codes

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/0021-9991(79)90129-3

Cite this

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title = "Numerical determination of axisymmetric toroidal magnetohydrodynamic equilibria",

abstract = "Numerical schemes for the determination of stationary axisymmetric toroidal equilibria appropriate for modeling real experimental devices are given. Iterative schemes are used to solve the elliptic nonlinear partial differential equation for the poloidal flux function ψ. The principal emphasis is on solving the free boundary (plasma-vacuum interface) equilibrium problem where external current-carrying toroidal coils support the plasma column, but fixed boundary (e.g., conducting shell) cases are also included. The toroidal current distribution is given by specifying the pressure and either the poloidal current or the safety factor profiles as functions of ψ. Examples of the application of the codes to tokamak design at PPPL are given.",

author = "Johnson, \{J. L.\} and Dalhed, \{H. E.\} and Greene, \{J. M.\} and Grimm, \{R. C.\} and Hsieh, \{Y. Y.\} and Jardin, \{S. C.\} and J. Manickam and M. Okabayashi and Storer, \{R. G.\} and Todd, \{A. M.M.\} and Voss, \{D. E.\} and Weimer, \{K. E.\}",

year = "1979",

month = aug,

doi = "10.1016/0021-9991(79)90129-3",

language = "English (US)",

volume = "32",

pages = "212--234",

journal = "Journal of Computational Physics",

issn = "0021-9991",

publisher = "Academic Press Inc.",

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TY - JOUR

T1 - Numerical determination of axisymmetric toroidal magnetohydrodynamic equilibria

AU - Johnson, J. L.

AU - Dalhed, H. E.

AU - Greene, J. M.

AU - Grimm, R. C.

AU - Hsieh, Y. Y.

AU - Jardin, S. C.

AU - Manickam, J.

AU - Okabayashi, M.

AU - Storer, R. G.

AU - Todd, A. M.M.

AU - Voss, D. E.

AU - Weimer, K. E.

PY - 1979/8

Y1 - 1979/8

N2 - Numerical schemes for the determination of stationary axisymmetric toroidal equilibria appropriate for modeling real experimental devices are given. Iterative schemes are used to solve the elliptic nonlinear partial differential equation for the poloidal flux function ψ. The principal emphasis is on solving the free boundary (plasma-vacuum interface) equilibrium problem where external current-carrying toroidal coils support the plasma column, but fixed boundary (e.g., conducting shell) cases are also included. The toroidal current distribution is given by specifying the pressure and either the poloidal current or the safety factor profiles as functions of ψ. Examples of the application of the codes to tokamak design at PPPL are given.

AB - Numerical schemes for the determination of stationary axisymmetric toroidal equilibria appropriate for modeling real experimental devices are given. Iterative schemes are used to solve the elliptic nonlinear partial differential equation for the poloidal flux function ψ. The principal emphasis is on solving the free boundary (plasma-vacuum interface) equilibrium problem where external current-carrying toroidal coils support the plasma column, but fixed boundary (e.g., conducting shell) cases are also included. The toroidal current distribution is given by specifying the pressure and either the poloidal current or the safety factor profiles as functions of ψ. Examples of the application of the codes to tokamak design at PPPL are given.

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U2 - 10.1016/0021-9991(79)90129-3

DO - 10.1016/0021-9991(79)90129-3

M3 - Article

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VL - 32

SP - 212

EP - 234

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 2

ER -

Numerical determination of axisymmetric toroidal magnetohydrodynamic equilibria

Abstract

All Science Journal Classification (ASJC) codes

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