Application of regularized equations for dynamics of heterogeneous binary mixtures to modeling water-vapor phase transitions

A system of four balance differential equations is used to describe dynamics of heterogeneous compressible binary mixtures with stiffened gas equations of state for mixture components, including gas and liquid ones. The main points are its quasi-homogeneous form that arises as a result of eliminating volume fractions of components from the collection of sought functions and the construction of a quadratic equation for the common pressure of components as well as its subsequent regularization of the quasi-gasdynamic type. We present a description of phase transition in a limit of instantaneous relaxation to thermodynamic equilibrium between components, implementing which reduces to solving nonlinear equations for saturation temperature and pressure. In general, this approach is implemented by an explicit two-level in time and symmetric three-point conservative in space finite-difference scheme without limiters and with splitting with respect to physical processes (in one-dimensional case). Using this scheme, test computations with water-vapor phase transition are carried out.