%0 Journal Article %1 neches.2008 %A Neches, R. Y. %A Cowley, S. C. %A Gourdain, P. A. %A Leboeuf, J. N. %D 2008 %I AIP %J Physics of Plasmas %K i-mhd tokamak analytical to_read equilibrium high_beta %N 12 %P 122504 %R 10.1063/1.3008049 %T The convergence of analytic high-beta equilibrium in a finite aspect ratio tokamak %U http://link.aip.org/link/?PHP/15/122504/1 %V 15 %X The characteristics of near-unity-$\beta$ 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-$\beta$ 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-$\beta$ equilibria, such as a highly diamagnetic plasma and its ramifications for stability and transport.

@article{neches.2008, abstract = {The characteristics of near-unity-$\beta$ 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-$\beta$ 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-$\beta$ equilibria, such as a highly diamagnetic plasma and its ramifications for stability and transport.}, added-at = {2009-02-27T02:42:43.000+0100}, author = {Neches, R. Y. and Cowley, S. C. and Gourdain, P. A. and Leboeuf, J. N.}, biburl = {https://www.bibsonomy.org/bibtex/27aa173ae46d6a4a9f2de14fdda51dac6/prodrigues}, description = {to read.}, doi = {10.1063/1.3008049}, interhash = {64e6b9a96ce7698f5073e9b58bf86807}, intrahash = {7aa173ae46d6a4a9f2de14fdda51dac6}, journal = {Physics of Plasmas}, keywords = {i-mhd tokamak analytical to_read equilibrium high_beta}, month = {December}, number = 12, numpages = {9}, pages = 122504, publisher = {AIP}, timestamp = {2009-02-27T02:42:43.000+0100}, title = {The convergence of analytic high-beta equilibrium in a finite aspect ratio tokamak}, url = {http://link.aip.org/link/?PHP/15/122504/1}, volume = 15, year = 2008 }