Quasi-gasodynamic heterogeneous model for describing a mixture of compressible fluids. One-dimensional case

Quasi-gasdynamic type regularization is presented for a heterogeneous model of a two-fluid mixture of compressible fluids. This model allows to describe the flows of stiffened gases.
The reduced four-equation model for dynamics of the heterogeneous compressible two-fluid mixture with equations of state of a stiffened gas is considered. A further reduced form of this model with the excluded volume concentrations and a quadratic equation for the common pressure of the components can be called a quasi-homogeneous form. A finite difference algorithm is used, built with the finite volume method. Using examples of solving typical one-dimensional problems, it is shown that the presented algorithm is a stable and reliable way to model problems with strong shock waves.