The new parallel algorithm has been developed and implemented for solving the axially symmetric problem of the interaction of a plane shock wave with a free bubble system (cluster) resulting in the formation of a stationary oscillating shock wave. The important characteristics of the problem in question, such as acceleration, effectiveness, the influence of inhomogeneities on the time of calculation were experimentally obtained, thus enabling evaluating of the quality of this algorithm as well as possibilities of obtaining good results. With the use of the parallel algorithm discussed, the dynamics of the pressure fields in a distant zone of a cluster is investigated, including the pressure field of the shock wave radiated by a bubble cluster. It is fairly difficult –– during a reasonable time –– to obtain results of such an investigation on one computer due to a large size of the problem under consideration.