Effect of shaping on turbulent dynamics in reversed-field pinch simulations

We study the influence of shape plasma container on dynamics Reversed Field Pinch (RFP). The geometries we consider are periodic cylinders with elliptical and circular-shaped cross-sections. Numerical simulations fully nonlinear visco-resistive magnetohydrodynamics carried out to illustrate how affected by shaping. It is shown that independent shape, quantity $\beta$, comparing hydrodynamic pressure magnetic pressure, decreases for increasing values Lundquist number, but gradient fluctuations remain roughly constant, when compared Lorentz force. Different shapes cross-section domain lead excitation different toroidal (or axial) dynamic modes. Furthermore, it found in a geometry circular significant local poloidal angular momentum observed, absent cross-section. Since confinement dominantly determined movement, velocity field modified modification geometry, shaping can thus affect performance RFP-devices.