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The Accuracy of Finite-Difference Schemes Calculating the Interaction of Shock Waves

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Abstract

The accuracy with which the shock-capturing finite-difference schemes calculate the flows with interaction of shock waves is studied. It is shown that, in the domains between the shock waves after their incidence, the calculation accuracy of invariants of the combined schemes is several orders of magnitude higher than the accuracy of the WENO-scheme, which is fifth-order in space and third-order in time.

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FUNDING

This work is supported by the Russian Science Foundation, project no. 16-11-10033.

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Authors and Affiliations

  1. Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia

    V. V. Ostapenko & N. A. Khandeeva

  2. Novosibirsk National Research State University, Novosibirsk, Russia

    V. V. Ostapenko & N. A. Khandeeva

Authors
  1. V. V. Ostapenko
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  2. N. A. Khandeeva
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Correspondence to V. V. Ostapenko or N. A. Khandeeva.

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Translated by E. Oborin

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Ostapenko, V.V., Khandeeva, N.A. The Accuracy of Finite-Difference Schemes Calculating the Interaction of Shock Waves. Dokl. Phys. 64, 197–201 (2019). https://doi.org/10.1134/S1028335819040128

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