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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2021 052, 12 pp. (Mi ipmp2969)

This article is cited 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


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.

DOI: 10.20948/prepr-2021-52



© Steklov Math. Inst. of RAS, 2025