vix.ing · top · new · best · stats · spec

Toroidal equilibria in spherical coordinates

2008/11/01 by K. H. Tsui · 1 citation
Engineering · Physics and Astronomy · #Ionosphere and magnetosphere dynamics #Magnetic confinement fusion research #Spacecraft Dynamics and Control #physics.plasm-ph

paper · pdf · doi:10.1063/1.3006340

published as Physics of Plasmas 15, 112506 (2008)

openalex publication_date 2008/11/01 · arxiv created 2009/02/02 · arxiv updated 2012/10/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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

Citations

Cited by