A single velocity model for calculating of two-phase flows from first principles

A single velocity model of one-component media for calculating of two-phase flows is presented. The model is based on conservation laws with a minimum of additional assumptions. The model and numerical method are intended for use in direct numerical simulation (DNS) of complex twophase flows on high-performance computing systems (exascale computing). The closed system of governing equations written for non-averaged parameters (so-called micro parameters) of the medium with a complex equation of state. It is assumed from the beginning that each point of the flow field is completely characterized by a single density, single velocity and single internal energy. The phases interaction is described by means of the diffuse interface model. A method of reconstructing the thermodynamic functions for all possible values of density and internal energy is presented. It is based on the use of the corresponding functions for the pure phases. Hydrodynamic basis of the model is Navier–Stokes equation system. The reliability of the model is tested on 1D problems such as the Stefan problem and the formation and merging of real water bubbles problem.