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

Zh. Vychisl. Mat. Mat. Fiz., 2010 Volume 50, Number 6, Pages 1126–1139 (Mi zvmmf4895)

This article is cited in 13 papers

Macroparameters of three-dimensional flows in free shear turbulence

O. M. Belotserkovskiĭ, S. V. Fortova

Institute for Computer-Aided Design, Russian Academy of Sciences, ul. Vtoraya Brestskaya 19/18, Moscow, 123056 Russia

Abstract: The initial stage of the onset of turbulence in a three-dimensional compressible inviscid shear flow is studied. An initial deterministic velocity perturbation in the form of one or several Fourier modes leads to the development of a cascade of instabilities, which is numerically simulated. The influence exerted on the formation of the cascade of instabilities and the transition to turbulence by the size of the computational domain, the shear layer width, and the initial conditions is analyzed. It is shown that the mechanism of turbulence onset is essentially three-dimensional. The influence of various flow parameters and initial conditions on the formation of the turbulence cascade is studied numerically.

Key words: three-dimensional compressible inviscid shear flows, initial stage of turbulence onset, numerical simulation of development of a cascade of instabilities.

UDC: 519.634

Received: 17.12.2009


 English version:
Computational Mathematics and Mathematical Physics, 2010, 50:6, 1071–1084

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