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“One size fits all” analytic solutions to the Grad–Shafranov equation
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10.1063/1.3328818
/content/aip/journal/pop/17/3/10.1063/1.3328818
http://aip.metastore.ingenta.com/content/aip/journal/pop/17/3/10.1063/1.3328818

Figures

Image of FIG. 1.
FIG. 1.

Definition of the geometric parameters.

Image of FIG. 2.
FIG. 2.

ITER-like equilibrium (, , and ).

Image of FIG. 3.
FIG. 3.

(a) Force-free NSTX-like equilibrium (, , and ). (b) Low- NSTX-like equilibrium (, , and ). (c) Equilibrium limit NSTX-like equilibrium (, , and ). Note the separatrix on the inner surface of the plasma.

Image of FIG. 4.
FIG. 4.

vs at the equilibrium limit with , , and held fixed (, , and ).

Image of FIG. 5.
FIG. 5.

Low- NSTX-like equilibrium with double null divertor (, , and ).

Image of FIG. 6.
FIG. 6.

(a) Spheromak equilibrium (, , , and ). (b) Equilibrium limit spheromak equilibrium (, , , and ). Note the separatrix on the inner surface of the plasma.

Image of FIG. 7.
FIG. 7.

(a) FRC equilibrium obtained with the first method (see Sec. VIII of this article), , , and . (b) FRC equilibrium obtained with the second method (see Sec. VIII of this article), , , and .

Image of FIG. 8.
FIG. 8.

(a) Lower single null ITER-like equilibrium (, , and ). (b) Lower single null NSTX-like equilibrium (, , and ).

Tables

Generic image for table
Table I.

Figures of merit for ST equilibria.

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/content/aip/journal/pop/17/3/10.1063/1.3328818
2010-03-09
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: “One size fits all” analytic solutions to the Grad–Shafranov equation
http://aip.metastore.ingenta.com/content/aip/journal/pop/17/3/10.1063/1.3328818
10.1063/1.3328818
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