The acceleration response of a supercharged diesel engine passenger car, equipped with a particulate trap, is studied using a simulation program. The superchargers evaluated are the Comprex(R) pressure-wave supercharger as well as turbochargers with fixed and variable-geometry. The particulate trap is placed before the supercharger to promote the trap regeneration and to reduce the pumping gas-exchange work. Particulate traps currently used are such a large thermal sink that the acceleration response is unacceptable. There are promising innovations in progress to develop a particulate trap with less than a quarter of the present mass. The computations demonstrate that the acceleration response should then be acceptable.