In the paper, we consider the problems of numerical simulation of laser propulsion when laser operates in repetitively pulse modes. The numerical techniques that are based on the use of the high-order finite-difference schemes of the Godunov's type are used to calculate gas flow within a nozzle of the laser propulsion engine. The laser pulse energy explosion is based on 1D (spherical case) model of the laser pulse interaction with the engine propellant. Some limitations on the propellant and laser parameters, which are going from this model, are found.