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KIAM Preprint  52, Moscow, 2021
Authors: Khaytaliev I.R., Shilnikov E.V.
Investigation of the properties of a quasi-gas-dynamic system of equations based on the solution of the Riemann problem for a mixture of gases
Abstract:
The accuracy and stability of an explicit numerical algorithm for modeling the flows of a mixture of compressible gases in the transonic regime are investigated by the example of solving the Riemann problem on the decay of a gas-dynamic discontinuity between different gases. The algorithm is constructed using the finite volume method based on the regularized gas dynamics equations for a mixture of gases. A method for suppressing nonphysical oscillations occurring behind the contact discontinuity is found.
Keywords:
regularized equations of gas dynamics, gas mixtures, Riemann problem, solution accuracy, contact discontinuity, algorithm stability
Publication language: russian,  pages: 12
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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About authors:
  • Khaytaliev Ismatolo Ramazanovich,  orcid.org/0000-0002-6552-613X,  State Technical UniversityMADI (STU-MADI)
  • Shilnikov Evgeny Vladimirovich,  orcid.org/0000-0002-4932-9849KIAM RAS