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Simple, general, realistic, robust, analytic tokamak equilibria. Part 2. Pedestals and flow

Published online by Cambridge University Press:  14 May 2021

L. Guazzotto
Affiliation:
Physics Department, Auburn University, Auburn, AL36849, USA
J. P. Freidberg*
Affiliation:
MIT, Plasma Science and Fusion Center, Cambridge, MA02139, USA
*
 Email address for correspondence: jpfreid@mit.edu

Abstract

Part 1 described a wide range of analytic tokamak equilibria modelling smooth limiter surfaces, double- and single-null divertor surfaces, arbitrary aspect ratio, elongation, triangularity and beta. Part 2 generalizes the analysis to further include edge pedestals and toroidal flow. Specifically, edge pedestals are allowed in the pressure, pressure gradient and toroidal current density. Also, an edge-localized contribution to the bootstrap current is treated. In terms of flow, analytic solutions are obtained for two cases: a $\gamma = 2$ adiabatic and a $\gamma = \infty $ incompressible energy conservation relation.

Type
Research Article
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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