Aspect-ratio effects in the driven, flux-core spheromak

Abstract

Resistive magnetohydrodynamic simulations are used to evaluate the effects of the aspect ratio (length to radius ratio) in a spheromak driven by coaxial helicity injection. The simulations are benchmarked against the Sustained Spheromak Physics Experiment (SSPX) [R. D. Wood et al, Nucl. Fusion 45, 1582 (2005)]. Amplification of the bias (“gun”) poloidal flux is fitted well by a linear dependence (insensitive to ⁠) on the ratio of gun current and bias flux above a threshold dependent on A⁠. For low flux amplifications in the simulations, the n = 1 mode is coherent and the mean-field geometry looks like a tilted spheromak. Because the mode has relatively large amplitude the field lines are open everywhere, allowing helicity penetration. Strongly driven helicity injection at A ≤ 1.4 in simulations generates reconnection events which generate cathode-voltage spikes, relaxation of the symmetry-breaking modes, and open, stochastic magnetic field lines; this state is characteristic of SSPX. The time sequences of these events suggest that they are representative of a chaotic process. Near the spheromak tilt-mode limit, A ≈1.67 for a cylindrical flux conserver, the tilt approaches 90°; reconnection events are not generated up to the strongest drives simulated. Implications for spheromak experiments are discussed.