An enhanced pressure-wave supercharger for a combustion engine utilizes a superior pressure wave process cycle design. The design utilizes a select final portion of the compressed gas stream exiting the rotor, and supplies it to a subsequent inlet port ahead of and prior to the introduction into the rotor of the aspirated air to be compressed. Work is extracted within the rotor from this gas stream and transferred into rotational energy of the rotor through using a portion the available momentum of the compressed gas via incidence on the rotor webs to turn the rotor by means of conventional turbomachinery principles.