Published November 2007
| Version v1
Journal article
A family of analytic equilibrium solutions for the Grad-Shafranov equation
Creators
- 1. Plasma Science and Fusion Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
Description
A family of exact solutions to the Grad-Shafranov equation, similar to those described by Atanasiu et al. [C. V. Atanasiu, S. Guenter, K. Lackner, and I. G. Miron, Phys. Plasmas 11, 3510 (2004)], is presented. The solution allows for finite plasma aspect ratio, elongation and triangularity, while only requiring the evaluation of a small number of well-known hypergeometric functions. Plasma current, pressure, and pressure gradients are set to zero at the plasma edge. Realistic equilibria for standard and spherical tokamaks are presented
Additional details
Identifiers
- DOI
- 10.1063/1.2803759;
Publishing Information
- Journal Title
- Physics of Plasmas
- Journal Volume
- 14
- Journal Issue
- 11
- Journal Page Range
- p. 112508-112508.8
- ISSN
- 1070-664X
- CODEN
- PHPAEN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39084142
- Subject category
- S70: PLASMA PHYSICS AND FUSION TECHNOLOGY;
- Descriptors DEI
- ASPECT RATIO; ELECTRIC CURRENTS; ELONGATION; EQUILIBRIUM; EXACT SOLUTIONS; GRAD-SHAFRANOV EQUATION; HYPERGEOMETRIC FUNCTIONS; PLASMA; PLASMA CONFINEMENT; PLASMA PRESSURE; PRESSURE GRADIENTS; SPHERICAL CONFIGURATION; TOKAMAK DEVICES
- Descriptors DEC
- CLOSED PLASMA DEVICES; CONFIGURATION; CONFINEMENT; CURRENTS; DEFORMATION; DIFFERENTIAL EQUATIONS; DIMENSIONLESS NUMBERS; EQUATIONS; FUNCTIONS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; THERMONUCLEAR DEVICES
Optional Information
- Notes
- (c) 2007 American Institute of Physics