Numerical simulation results are presented for the flow pattern of a fully cavitating underwater vehicle equipped with a tractor solid propellant rocket motor.In the higher velocity regime cavitation sets in, which considerably reduces the vehicle drag and changes the flow pattern of the motor exhaust gas as compared to the non-cavitating case.Three steps of modeling are discussed.In the 1st step, the free flow behavior of the tractor motor was calculated with a finite differences code.The resulting plume agrees well with video recordings of static rocket firings in air.The results of this simulation were used in for a numerical finite differences calculation of the gas flow inside the cavitation bubble.Finally, an anal. extension of the numerical model shows that depending on the flow and loss rate of the gas, the pressure inside the cavitation bubble will exhibit an irregular behavior over time.