Применение регуляризованных уравнений динамики гетерогенных бинарных смесей для моделирования фазовых переходов вода-пар

Математическое моделирование. 2025. Т. 37. № 1. С. 151–170.

Zlotnik A., Lomonosov T.

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.

Keywords: газовая динамика, квазигазодинамическая регуляризация, гетерогенная бинарная смесь, фазовый переход вода-пар, явная по времени и симметричная консервативная по пространству разностная схема

Publication based on the results of: Decision-Making in Socio-Economic, Political and Financial Spheres (2025)