Toroidal equilibria in spherical coordinates

Details Toroidal equilibria in spherical coordinates Toroidal equilibria in spherical coordinates

2009-02-02

arxiv.org/abs/0902.0272v1

Physics of Plasmas 15, 112506 (2008)

Physics

Plasma Physics

Scientific paper

10.1063/1.3006340

The standard Grad-Shafranov equation for axisymmetric toroidal plasma equilibrium is customary expressed in cylindrical coordinates with toroidal contours, and through which benchmark equilibria are solved. An alternative approach to cast the Grad-Shafranov equation in spherical coordinates is presented. This equation, in spherical coordinates, is examined for toroidal solutions to describe low $\beta$ Solovev and high $\beta$ plasma equilibria in terms of elementary functions.

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