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We investigate numerically the Princeton magneto-rotational instability (MRI)experiment and the effect of conducting axial boundaries or endcaps. MRI isidentified and found to reach a much higher saturation than for insulatingendcaps. This is probably due to stronger driving of the base flow by themagnetically rather than viscously coupled boundaries. Although thecomputations are necessarily limited to lower Reynolds numbers ($\Re$) thantheir experimental counterparts, it appears that the saturation level becomesindependent of $\Re$ when $\Re$ is sufficiently large, whereas it has beenfound previously to decrease roughly as $\Re^{-1/4}$ with insulating endcaps.The much higher saturation levels will allow for the first positive detectionof MRI beyond its theoretical and numerical predictions.

Numerical simulations of the Princeton magneto-rotational instability experiment with conducting axial boundaries