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A single-velocity numerical model for simulation of two-phase flows of onecomponent medium is presented. It is supposed that pressure, temperature, viscosity, coefficient of thermal conductivity and other necessary parameters are continuous single-valued functions of density and internal energy. A method for obtaining EOS for multiphase states on the base of EOS for single-phase states is given. The interfacial surfaces are represented by domains of fast but continuous changing of density. The governing equations are the laws of conservation of mass, momentum and energy. Special terms are added in the stress tensor in order to describe effects of surface tension forces. The numerical model is intended for the usage with the supercomputers (with the prospects of achieving of exaflops performance). It is expected that the model is most useful for subcritical and supercritical flows. The model is implemented as an MPI code for parallel computer K100. On the example of real water it is demonstrated the capacity of proposed methodology to realistically describe phase transitions, to clearly monitor the boundaries of phases’ separation and to follow the processes of the type of bubbles merging. Properties of the parallel code are investigated.