Toroidal equilibria in spherical coordinates

Tsui, K. H.
November 2008
Physics of Plasmas;11/1/2008, Vol. 15 Issue 11, p112506
Academic Journal
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 β Solovev and high β plasma equilibria in terms of elementary functions.


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