Toroidal equilibria in spherical coordinates

Journal Article · Sat Nov 15 04:00:00 EST 2008 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3006340· OSTI ID:21259667

Tsui, K H ^[1]

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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)

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.

• OSTI ID: 21259667
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 11 Vol. 15; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
CYLINDRICAL CONFIGURATION
EQUILIBRIUM
GRAD-SHAFRANOV EQUATION
HIGH-BETA PLASMA
PLASMA CONFINEMENT
SPHERICAL CONFIGURATION