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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2011 Volume 51, Number 11, Pages 2096–2105 (Mi zvmmf9579)

This article is cited in 22 papers

Time averaging as an approximate technique for constructing quasi-gasdynamic and quasi-hydrodynamic equations

T. G. Elizarova

Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047 Russia

Abstract: Quasi-gasdynamic and quasi-hydrodynamic equations for compressible gas flows and viscous incompressible fluid flows are constructed by averaging the corresponding Navier–Stokes equations over time with the use of certain approximations.

Key words: quasi-gasdynamic and quasi-hydrodynamic equations, time averaging, Navier–Stokes equations.

UDC: 519.634

Received: 22.04.2011


 English version:
Computational Mathematics and Mathematical Physics, 2011, 51:11, 1973–1982

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© Steklov Math. Inst. of RAS, 2024