Screening of resonant magnetic perturbation fields by poloidally varying toroidal plasma rotation

Abstract

The angular frequency of the subsonic equilibrium toroidal flow in a tokamak plasma is often assumed constant at magnetic flux surfaces, i.e., the rotation frequency does not vary along the poloidal angle of the flux surface. However, there are several cases where this symmetry is broken. An interesting situation is a recently observed complex flow pattern induced by magnetic field line ergodization, in the presence of the tri-dimensional (3-D) resonant magnetic perturbation (RMP) [Schmitz et al., Nucl. Fusion 56, 066008 (2016)]. A new flow model including poloidally varying rotation frequencies has been implemented in the full resistive linear MHD code MARS-F [Liu et al., Phys. Plasmas 7, 3681 (2000)], allowing poloidal variation of the angular frequency of the equilibrium toroidal rotation in a generic toroidal geometry. The effect of this asymmetric flow, on top of a poloidally symmetric toroidal flow, on the plasma response to RMP fields is numerically investigated. It is found that a poloidally varying toroidal flow component enhances the favourable average curvature induced plasma screening of the applied 3-D field, for low toroidal flow velocities. At faster flow, when the resistive-inertial response becomes important, the asymmetric toroidal flow reduces the plasma screening. The largest effect is found to come from the m = 1 component of the poloidal asymmetry in the toroidal rotation frequency.