The convergence of analytic high- Β equilibrium in a finite aspect ratio tokamak

R. Y. Neches; S. C. Cowley; P. A. Gourdain; J. N. Leboeuf

doi:10.1063/1.3008049

The convergence of analytic high- Β equilibrium in a finite aspect ratio tokamak

R. Y. Neches
, S. C. Cowley
, P. A. Gourdain
, J. N. Leboeuf

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

4 Scopus citations

Abstract

The characteristics of near-unity- Β equilibria are investigated with two codes. CUBE is a multigrid Grad-Shafranov solver [Gourdain, J. Comput. Phys. 216, 275 (2006)], and Ophidian was written to compute solutions using analytic unity- Β equilibria [Cowley, 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- Β equilibria, such as a highly diamagnetic plasma and its ramifications for stability and transport.

Original language	English (US)
Article number	122504
Journal	Physics of Plasmas
Volume	15
Issue number	12
DOIs	https://doi.org/10.1063/1.3008049
State	Published - 2008
Externally published	Yes

All Science Journal Classification (ASJC) codes

Condensed Matter Physics

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10.1063/1.3008049

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title = "The convergence of analytic high- Β equilibrium in a finite aspect ratio tokamak",

abstract = "The characteristics of near-unity- Β equilibria are investigated with two codes. CUBE is a multigrid Grad-Shafranov solver [Gourdain, J. Comput. Phys. 216, 275 (2006)], and Ophidian was written to compute solutions using analytic unity- Β equilibria [Cowley, 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- Β equilibria, such as a highly diamagnetic plasma and its ramifications for stability and transport.",

author = "Neches, \{R. Y.\} and Cowley, \{S. C.\} and Gourdain, \{P. A.\} and Leboeuf, \{J. N.\}",

note = "Funding Information: Work was supported by U.S. DOE through the Fusion Science Center for Multiscale Plasma Dynamics.",

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T1 - The convergence of analytic high- Β equilibrium in a finite aspect ratio tokamak

AU - Neches, R. Y.

AU - Cowley, S. C.

AU - Gourdain, P. A.

AU - Leboeuf, J. N.

N1 - Funding Information: Work was supported by U.S. DOE through the Fusion Science Center for Multiscale Plasma Dynamics.

PY - 2008

Y1 - 2008

N2 - The characteristics of near-unity- Β equilibria are investigated with two codes. CUBE is a multigrid Grad-Shafranov solver [Gourdain, J. Comput. Phys. 216, 275 (2006)], and Ophidian was written to compute solutions using analytic unity- Β equilibria [Cowley, 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- Β equilibria, such as a highly diamagnetic plasma and its ramifications for stability and transport.

AB - The characteristics of near-unity- Β equilibria are investigated with two codes. CUBE is a multigrid Grad-Shafranov solver [Gourdain, J. Comput. Phys. 216, 275 (2006)], and Ophidian was written to compute solutions using analytic unity- Β equilibria [Cowley, 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- Β equilibria, such as a highly diamagnetic plasma and its ramifications for stability and transport.

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The convergence of analytic high- Β equilibrium in a finite aspect ratio tokamak

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