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Experimental Studies of Difference Gas Dynamics Models with Shock Waves

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Abstract

A linearized version of the classical Godunov scheme as applied to nonlinear discontinuity decays is described. It is experimentally shown that this version guarantees an entropy nondecrease, which makes it possible to simulate entropy growth on shock waves. The structure of shock waves after the discontinuity decays is studied. It is shown that the width of the shock waves and the time required for their formation depend on the choice of the Courant number. The accuracy of the discontinuous solutions is tested numerically.

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ACKNOWLEDGMENTS

The computations performed in this work were supported by the Russian Science Foundation (project no. 17-11-01293) and by the Ministry of Education and Science of the Russian Federation (4.1.3 Joint laboratories of Novosibirsk State University and Novosibirsk Scientific Center of the Siberian Branch of the Russian Academy of Sciences). The theoretical part of the work was supported by the Russian Foundation for Basic Research, project no. 17-01-00812\17.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, 630090, Novosibirsk, Russia

    S. K. Godunov

  2. Novosibirsk State University, 630090, Novosibirsk, Russia

    D. V. Klyuchinskii

  3. Institute of Computer-Aided Design, Russian Academy of Sciences, 123056, Moscow, Russia

    S. V. Fortova & V. V. Shepelev

Authors
  1. S. K. Godunov
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  2. D. V. Klyuchinskii
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  3. S. V. Fortova
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  4. V. V. Shepelev
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Correspondence to S. V. Fortova.

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Translated by I. Ruzanova

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Godunov, S.K., Klyuchinskii, D.V., Fortova, S.V. et al. Experimental Studies of Difference Gas Dynamics Models with Shock Waves. Comput. Math. and Math. Phys. 58, 1201–1216 (2018). https://doi.org/10.1134/S0965542518080067

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