The parallel implementation of the algorithm solution of model for two-phase cluster in liquids

Abstract

The new parallel algorithm has been developed and implemented for solving the axial-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, and the influence of heterogeneity on the time of calculation have been experimentally obtained. They enable us to evaluate the quality of the algorithm and the scope for obtaining appreciable 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 over a reasonable period of time to obtain results of such an investigation in one computer due to the large size of the problem under consideration. © Springer-Verlag Berlin Heidelberg 2005.