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

Zh. Vychisl. Mat. Mat. Fiz., 2015 Volume 55, Number 3, Pages 523–529 (Mi zvmmf10178)

Bifurcation model of the laminar-turbulent transition in simple flows

I. V. Eriklintsev, S. A. Kozlov

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

Abstract: For plane channel flows with a constant pressure gradient and for constant-pressure shear layer flows, a simple closure scheme for the Reynolds-averaged Navier–Stokes equations is proposed as an alternative to eddy-viscosity-based models. The closure scheme makes it possible to compute flows at any Reynolds number, including near the laminar-turbulent transition.

Key words: shear layer, two-dimensional Couette flow, laminar-turbulent transition, bifurcation model of turbulent flow.

UDC: 519.634

MSC: 76F06

Received: 12.08.2014

DOI: 10.7868/S0044466915030059


 English version:
Computational Mathematics and Mathematical Physics, 2015, 55:3, 519–525

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