DIRECT NUMERICAL SIMULATION OF A TURBULENT FLOW OF VISCOUS INCOMPRESSIBLE FLUID IN A 2D CHANNEL USING SCHEME CABARET
D. G. Asfandiyarov, B. I. Berezin, S. A. Finogenov
VANT. Ser.: Mat. Mod. Fiz. Proc 2013. Вып.4. С. 57-62.
The direct numerical simulation method is used to study a turbulent flow of viscous incompressible fluid in a 2D channel with Reynolds number 5600 determined using the height of channel and mean flow velocity. Periodical boundary conditions in longitudinal and transverse directions are taken. The longitudinal and transverse sizes of region are 4  and 2, respectively; is a half-height of channel. A non-uniform grid 257  129 129 concentrated near the boundary is used for simulations, which are performed using scheme CABARET without sub-grid models of turbulence. The computational algorithm consists in successively solving the explicit part of the scheme (calculation of velocities at the next time slice) and Poisson equations for pressure. The Poisson equation is solved using the parallel algorithm of fast direct method and parallel running.
Supercomputer “Lomonosov” with 128 processors was used for simulations. The total runtime was 9 days (27 648 processor hours). The calculated near-wall turbulence parameters - averaged velocity profile, stress tensor components, contributions from the molecular and turbulent components of viscosity tensor, and the channel resistance factor - are in a good agreement with the data calculated in 1987 by the John Kim team from the Ames Research Center (NASA) by solving a similar problem using similar computational grids.Keywords: direct numerical simulation, scheme CABARET, turbulent flow, 2D channel, viscous incompressible fluid.
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