Analytic Grad-Shafranov test criteria and checks of a 1-1/2-D BALDUR code

Technical Report · Thu May 01 04:00:00 EDT 1986

DOI:https://doi.org/10.2172/5841637· OSTI ID:5841637

Seidl, F G.P.

As discussed by Shafranov, Solov'ev, and others, two special constraints allow the Grad-Shafranov equation to yield simple analytic solutions. From the simplest solution, formulae are derived for properties of the corresponding toroidally symmetric plasma and for the space profile of poloidal magnetic flux density. These formulae constitute test criteria for code performance once the code is made consistent with the two constraints. Obtaining consistency with the first constraint is straightforward, but with the second it is circumstantial. Moreover, the poloidal flux profile of the analytic solution implies a certain artificial form for the resistivity, which is also derived. These criteria have been used to check a composite code which had been assembled by linking a geometrically generalized 1-D BALDUR transport code with a computationally efficient 2-D equilibrium code. A brief description of the composite code is given as well as of its performance with respect to the Grad-Shafranov test criteria.

• Research Organization: Princeton Univ., NJ (USA). Plasma Physics Lab.
• DOE Contract Number: AC02-76CH03073
• OSTI ID: 5841637
• Report Number(s): PPPL-2331; ON: DE86011370
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700105* -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
CLOSED PLASMA DEVICES
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ELECTRICAL PROPERTIES
EQUILIBRIUM
MAGNETIC FLUX
PHYSICAL PROPERTIES
PLASMA
SYMMETRY
THERMONUCLEAR DEVICES
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TRANSPORT THEORY