Simulation of magnetically driven flyer plate experiments with an improved magnetic field boundary formula

To consistently simulate magnetically driven flyer plate experiments with a magnetohydrodynamics code by taking the measured current as the input, a relation is needed that connects the measured current and the magnetic field on the loading surface. Lemke's magnetic field formula [Lemke:2011, Davis:2014] gives deep insights into this relation, but it also leads to noticeable discrepancy from experiments if the formula is directly used for flyer plate simulation. In this paper, we find that, by adding to Lemke's formula a new term that reveals the ablation effect of the loading surface, the simulation can be much improved. With this modified version of Lemke's formula, we simulated one-sided and two-sided flyer plate experiments performed on the Primary Test Stand facility in China, which show satisfactory agreement with the velocity interferometer system for any reflector measurements.