The magnetohydrodynamic (MHD) flow behavior in a pulse-detonation-driven Faraday-type linear MHD electrical power generator with a converging–diverging nozzle connected to a linear pulse-detonation tube has been examined by time-dependent two-dimensional numerical simulations. Cesium-seeded stoichiometric hydrogen-air mixture as the working gas is detonated under atmospheric pressure in the generator. The two-dimensional temporal evolutions of the propagating detonation wave and the subsequent supersonic flow in the generator are successfully revealed, which result in two peaks of the power output against time. The first peak, provided by the propagation of the detonation wave, hardly deteriorates even in the continuous electrode configuration because of a low Hall parameter due to the high pressure behind the detonation wave front. Such a robust detonation wave, however, can be moderated under a strong MHD interaction. In the supersonic flow following the propagation of the detonation wave, the Hall parameter can be high enough to affect the performance. Thus, if continuous electrodes are used, the second peak shrinks owing to Hall effect, as is well known in the conventional MHD power generator. Copyright © 2010 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.