On a two-dimensional single-velocity model for computations of two-phase flows of real water taking into account the surface tension effects

The preprint presents further development of proposed in previous publications two-phase liquid model, focused on holding direct numerical simulation (DNS) of complex two-phase flows. The model is based on a single-speed concept, where the phases are identified by the value of the medium density. Thermodynamic functions of a two-phase medium are based on the equations of state of real pure phases. The model is improved by taking into account the surface tension effects that take place in the vicinity of the phase separation zone. The phases interaction is described by means of the diffuse interface model. The thermodynamic component supplies this opportunity. Hydrodynamic basis of the model is the Navier–Stokes equation system. An analysis of numerical effectiveness of the corresponding MPI code is presented.