Published November 2008 | Version v1
Journal article

Toroidal equilibria in spherical coordinates

Creators

  • 1. Instituto de Fisica, Universidade Federal Fluminense, Campus da Praia Vermelha, Av. General Milton Tavares de Souza s/n Gragoata, 24.210-346, Niteroi, Rio de Janeiro (Brazil)

Description

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.

Additional details

Identifiers

Publishing Information

Journal Title
Physics of Plasmas
Journal Volume
15
Journal Issue
11
Journal Page Range
p. 112506-112506.7
ISSN
1070-664X
CODEN
PHPAEN

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41010502
Subject category
S70: PLASMA PHYSICS AND FUSION TECHNOLOGY;
Descriptors DEI
CYLINDRICAL CONFIGURATION; EQUILIBRIUM; GRAD-SHAFRANOV EQUATION; HIGH-BETA PLASMA; PLASMA CONFINEMENT; SPHERICAL CONFIGURATION
Descriptors DEC
CONFIGURATION; CONFINEMENT; DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PLASMA

Optional Information

Notes
(c) 2008 American Institute of Physics