Direct simulation of a turbulent boundary layer up to Rθ = 1410

Author:

Spalart Philippe R.

Abstract

The turbulent boundary layer on a flat plate, with zero pressure gradient, is simulated numerically at four stations between Rθ = 225 and Rθ = 1410. The three-dimensional time-dependent Navier-Stokes equations are solved using a spectral method with up to about 107 grid points. Periodic spanwise and streamwise conditions are applied, and a multiple-scale procedure is applied to approximate the slow streamwise growth of the boundary layer. The flow is studied, primarily, from a statistical point of view. The solutions are compared with experimental results. The scaling of the mean and turbulent quantities with Reynolds number is compared with accepted laws, and the significant deviations are documented. The turbulence at the highest Reynolds number is studied in detail. The spectra are compared with various theoretical models. Reynolds-stress budget data are provided for turbulence-model testing.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference36 articles.

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3. Li, J. D. , Henbest, S. M. & Perry, A. E. 1986 The difficulties in the measurements of Reynolds stresses in smooth-and rough-wall turbulent boundary layers.Proc. 9th Australasian Fluid Mechanics Conf.,Auckland, New Zealand, Dec. 8–12, 1986.

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