Equilibria with incompressible flows from symmetry analysis
Ap Kuiroukidis, G. N. Throumoulopoulos
TL;DR
This paper develops a symmetry-based method to identify new nonlinear axisymmetric equilibria with incompressible flows, including a tokamak D-shaped equilibrium with specific current and safety factor profiles.
Contribution
It extends previous symmetry analysis to construct novel equilibria with arbitrary flow directions satisfying a generalized Grad Shafranov equation.
Findings
Constructed a tokamak D-shaped equilibrium with peaked current density
Achieved equilibria with monotonically varying safety factor
Included sheared electric field in the equilibrium models
Abstract
We identify and study new nonlinear axisymmetric equilibria with incompressible flow of arbitrary direction satisfying a generalized Grad Shafranov equation by extending the symmetry analysis presented in [G. Cicogna and F. Pegoraro, Phys. Plasmas Vol. 22, 022520 (2015)]. In particular, we construct a typical tokamak D-shaped equilibrium with peaked toroidal current density, monotonically varying safety factor and sheared electric field.
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