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

Zh. Vychisl. Mat. Mat. Fiz., 2015 Volume 55, Number 10, Pages 1773–1782 (Mi zvmmf10290)

This article is cited in 10 papers

Numerical study of a quasi-hydrodynamic system of equations for flow computation at small mach numbers

V. A. Balashov, E. B. Savenkov

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

Abstract: The applicability of numerical algorithms based on a quasi-hydrodynamic system of equations for computing viscous heat-conducting compressible gas flows at Mach numbers $\mathrm{M}=10^{-2}$$10^{-1}$ is studied numerically. The numerical algorithm is briefly described, and the results obtained for a number of two- and three-dimensional test problems are presented and compared with earlier numerical data.

Key words: quasi-hydrodynamic system of equations, weakly compressible flows, Navier–Stokes equations, finite difference methods.

UDC: 519.634

Received: 20.01.2015
Revised: 03.02.2015

DOI: 10.7868/S0044466915100063


 English version:
Computational Mathematics and Mathematical Physics, 2015, 55:10, 1743–1751

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