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Universal Approach to Analysis of Dissipation Properties of a Numerical Method for Solving Gas Dynamic Equations

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Abstract

A universal approach to the verification of a numerical method for solving the Navier–Stokes equations is proposed, through which the dissipation properties of the method can be reliably assessed. The approach is based on viscous damping of weak elementary perturbations propagating in uniform flow. The corresponding theoretical solution allows one to determine the order of convergence of the numerical method.

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Funding

This work was performed at the Moscow Institute of Physics and Technology (National Research University) and was supported by the Russian Science Foundation, project no. 19-79-10132.

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Authors and Affiliations

  1. Central Aerohydrodynamic Institute (TsAGI), National Research Center “Zhukovsky Institute”, 140180, Zhukovskii, Moscow oblast, Russia

    P. V. Chuvakhov & I. O. Pogorelov

  2. Moscow Institute of Physics and Technology (National Research University), 141701, Dolgoprudnyi, Moscow oblast, Russia

    P. V. Chuvakhov, I. O. Pogorelov & K. V. Shubin

Authors
  1. P. V. Chuvakhov
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  2. I. O. Pogorelov
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  3. K. V. Shubin
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Correspondence to P. V. Chuvakhov, I. O. Pogorelov or K. V. Shubin.

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The authors declare that they have no conflicts of interest.

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Translated by I. Ruzanova

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Chuvakhov, P.V., Pogorelov, I.O. & Shubin, K.V. Universal Approach to Analysis of Dissipation Properties of a Numerical Method for Solving Gas Dynamic Equations. Comput. Math. and Math. Phys. 63, 1708–1716 (2023). https://doi.org/10.1134/S0965542523090063

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  • DOI: https://doi.org/10.1134/S0965542523090063

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