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KIAM Preprint № 74, Moscow, 2023
Authors: Khaytaliev I.R., Shilnikov E.V., Elizarova T.G.
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.
gas dynamics, heterogeneous two-fluid mixture, four-equation model, finite difference algorithm, regularized equations
Publication language: russian,  pages: 24
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Khaytaliev Ismatolo Ramazanovich, Automobile and Road Construction State Technical University
  • Shilnikov Evgeny Vladimirovich, RAS
  • Elizarova Tatiana Gennadyevna, RAS