A numerical model that treats liquid and vapor as a continuum has been constructed for predicting small-scale, high-speed, cavitating nozzle flow. In order to model extremely high pressures, the compressibility of both phases has been included in the scheme, and a third-order shock-capturing technique was applied to the continuity equation to capture sharp jumps in density. In addition, a boundary-fitted mesh was used to treat different nozzle geometries. The scheme has been run with very high upstream pressures and with a liguid-to-vapor density ratio of 10,000:1. The model results have been compared to experimental measurements of single bubble collapse. Results are also presented for rounded and sharp nozzle enhances with varying upstream pressures. The model successfully predicted coefficient of discharge and exit velocity for a variety of nozzle geometries.