The characteristics of near-unity- equilibria are investigated with two codes. CUBE is a multigrid Grad–Shafranov solver [Gourdain et al., J. Comput. Phys. 216, 275 (2006)], and Ophidian was written to compute solutions using analytic unity- equilibria [Cowley et al., Phys. Fluids B 3, 2066 (1991)]. Results from each method are qualitatively and quantitatively compared across a spectrum of mutually relevant parameters. These comparisons corroborate the theoretical results and provide benchmarks for high-resolution numerical results available from CUBE. Both tools facilitate the exploration of the properties of high- equilibria, such as a highly diamagnetic plasma and its ramifications for stability and transport.
REFERENCES
1.
J. M.
Greene
, Plasma Phys. Controlled Fusion
30
, 327
(1988
).2.
L. S.
Soloviev
, Reviews of Modern Physics
, edited by M. A.
Leontovich
, (Consultants Bureau
, New York
, 1975
), Vol. 6
, p. 239
.3.
J. P.
Freidberg
, Ideal Magnetohydrodynamics
(Plenum
, New York
, 1987
), pp. 154
–162
.4.
V. D.
Shafranov
, Reviews of Plasma Physics
, edited by M. A.
Leontovitch
(Consultants Bureau
, New York
, 1966
), Vol. II
, pp. 103
–151
.5.
S. C.
Cowley
, P. K.
Kaw
, R. S.
Kelly
, and R. M.
Kulsrud
, Phys. Fluids B
3
, 2066
(1991
).6.
S. C.
Hsu
, M.
Artun
, and S. C.
Cowley
, Phys. Plasmas
3
, 266
(1996
).7.
P.-A.
Gourdain
, J.-N.
Leboeuf
, and R. Y.
Neches
, J. Comput. Phys.
216
, 275
(2006
).8.
O. A.
Hurricane
, B. D. G.
Chandran
, and S. C.
Cowley
, Phys. Plasmas
7
, 4043
(2000
).9.
P. A.
Gourdain
, S. C.
Cowley
, J. N.
Leboeuf
, and R. Y.
Neches
, Phys. Rev. Lett.
97
, 055003
(2006
).10.
P. A.
Gourdain
, J.-N.
Leboeuf
, and R. Y.
Neches
, Phys. Plasmas
14
, 112513
(2007
).11.
12.
W. H.
Press
, S. A.
Teukolsky
, W. T.
Vetterling
, and B. P.
Flannery
, Numerical Recipes in C
, 2nd ed. (Cambridge University Press
, Cambridge
, 1992
), pp. 113
–128
.© 2008 American Institute of Physics.
2008
American Institute of Physics
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