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Application of high order difference operators in numerical simulation of aerodynamic problems

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Abstract

Differential schemes based on symmetrical compact differences of the 6th and 8th order of accuracy and oriented according to the direction of the diffusive terms’ characteristics are considered. Their spectral properties are analyzed, and the possibility of improving the dissipative characteristics is investigated. To describe the viscous terms, high order differences are also used. Some problems of compressible gas, including nonstationary flow around a symmetric airfoil in a subsonic laminar stream, are considered.

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Authors and Affiliations

  1. Dorodnitsyn Computing Center, Russian Academy of Sciences, Moscow, Russia

    A. D. Savel’ev

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  1. A. D. Savel’ev
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Correspondence to A. D. Savel’ev.

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Original Russian Text © A.D. Savel’ev, 2012, published in Matematicheskoe Modelirovanie, 2012, Vol. 24, No. 4, pp. 80–94.

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Savel’ev, A.D. Application of high order difference operators in numerical simulation of aerodynamic problems. Math Models Comput Simul 4, 541–551 (2012). https://doi.org/10.1134/S2070048212060099

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