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Abstract <p>The reduced four-equation model for the dynamics of a 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, built with the finite volume method for the regularized gas dynamics equations, is used. Using examples of solving two-dimensional problems, it is shown that the presented algorithm is a stable and reliable way to model problems with strong shock waves.</p>

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Quasi-Gasdynamic Heterogeneous Model for Describing a Mixture of Compressible Fluids: Two-Dimensional Case

  • 期刊论文

  • 发表日期：

    2025年12月8日

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  • I. R. Khaytaliev

摘要

Abstract

The reduced four-equation model for the dynamics of a 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, built with the finite volume method for the regularized gas dynamics equations, is used. Using examples of solving two-dimensional problems, it is shown that the presented algorithm is a stable and reliable way to model problems with strong shock waves.