Equilibria with incompressible flows from symmetry analysis

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.

4 pages, 6 figures

References in corpus (3)

• Hamiltonian magnetohydrodynamics: symmetric formulation, Casimir invariants, and equilibrium variational principles
• Symmetries, weak symmetries and related solutions of the Grad-Shafranov equation
• MHD equilibria with incompressible flows: symmetry approach

Cited by in corpus (1)

• A similarity reduction of the generalized Grad-Shafranov equation