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Preprints of the Keldysh Institute of Applied Mathematics, 2021, 052, 12 pp.
DOI: https://doi.org/10.20948/prepr-2021-52
(Mi ipmp2969)
 

This article is cited in 1 scientific paper (total in 1 paper)

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

I. R. Khaytaliev, E. V. Shilnikov
References:
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.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00262_а
Document Type: Preprint
Language: Russian
Citation: I. R. Khaytaliev, E. V. Shilnikov, “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”, Keldysh Institute preprints, 2021, 052, 12 pp.
Citation in format AMSBIB
\Bibitem{KhaShi21}
\by I.~R.~Khaytaliev, E.~V.~Shilnikov
\paper 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
\jour Keldysh Institute preprints
\yr 2021
\papernumber 052
\totalpages 12
\mathnet{http://mi.mathnet.ru/ipmp2969}
\crossref{https://doi.org/10.20948/prepr-2021-52}
Linking options:
  • https://www.mathnet.ru/eng/ipmp2969
  • https://www.mathnet.ru/eng/ipmp/y2021/p52
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
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    References:17
     
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