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.

About the authors

V. V. Ostapenko

Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences; Novosibirsk National Research State University

Author for correspondence.
Email: ostapenko_vv@ngs.ru
Russian Federation, Novosibirsk; Novosibirsk

N. A. Khandeeva

Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences; Novosibirsk National Research State University

Author for correspondence.
Email: nzyuzina1992@gmail.com
Russian Federation, Novosibirsk; Novosibirsk

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