English

Toroidal equilibria in spherical coordinates

Plasma Physics 2012-10-18 v1

Abstract

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\beta Solovev and high β\beta plasma equilibria in terms of elementary functions.

Keywords

Cite

@article{arxiv.0902.0272,
  title  = {Toroidal equilibria in spherical coordinates},
  author = {K. H. Tsui},
  journal= {arXiv preprint arXiv:0902.0272},
  year   = {2012}
}
R2 v1 2026-06-21T12:07:03.432Z