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• W2933122200 abstract "The analytical solution in toroidal coordinates of the Grad Shafranov equation has been at the origin of the tokamak breakthrough in the fusion development. Unfortunately, the standard toroidal coordinates have a circular poloidal section, which does not fit the elongated cross-section of the present tokamak experiments. In axisymmetry, the vacuum Grad Shafranov equation coincides with the Laplace equation for the toroidal component of the vector potential. In the present paper the solutions for the Laplace equation and that for the vacuum Grad Shafranov equation are tackled in the elliptical prolate toroidal cap-cyclide coordinates framework. The following report of the geometrical properties and of the metric of these coordinates allows us to work out the analytical solution of both equations in terms of the Wangerin functions." @default.
• W2933122200 created "2019-04-11" @default.
• W2933122200 creator A5019126275 @default.
• W2933122200 date "2019-04-01" @default.
• W2933122200 modified "2023-09-23" @default.
• W2933122200 title "Analytical solution of the Grad Shafranov equation in an elliptical prolate geometry" @default.
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• W2933122200 doi "https://doi.org/10.1017/s0022377819000175" @default.
• W2933122200 hasPublicationYear "2019" @default.
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