Possible thermodynamic model for the usage in the schematics of DNS for two-phase flows

In the preprint specific thermodynamic model is formulated which describes phase transitions in two-phase systems and allows the incorporation into gas dynamic numerical calculations. Namely, on the example of Van der Waals equation of state the dependencies of the pressure and the temperature on density and internal energy are defined. At this in the range of densities and energies where the phase transition occurs the special approximation is applied. This approximation can take into account non-equilibrium processes. Further one solves 1D Euler equations with RHS and with the equation of state which is described by the above thermodynamics. The feasibility of such model is demonstrated. Further development proposes taking into account the heat conduction, multidimensional realization and the usage of DNS method for two-phase systems, including phase transitions, at multiprocessor supercomputers. The refinement of thermodynamic model is also anticipated.