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Direct numerical simulation of strained three-dimensional wall-bounded flows

Direct numerical simulation of strained three-dimensional wall-bounded flows
Direct numerical simulation of strained three-dimensional wall-bounded flows
Fully developed two-dimensional channel-flow turbulence is subjected to mean strains that imitate those produced by pressure gradients in three-dimensional boundary layers. This is achieved by applying irrotational temporal deformations to the flow domain in a conventional channel direct-numerical-simulation (DNS) code; straining deformations at an angle with respect to the initial flow direction generate a mean cross flow and thus mean three-dimensionality. The velocity difference carried by the near-wall region is further controlled by mean pressure gradients (or by accelerating the walls in-plane), thus introducing another effect of pressure gradients in boundary layers. “Numerical experiments” allow the effects of the inviscid skewing mechanism, adverse pressure gradient, and inner layer to be isolated; our primary interest here is in the outer layer. We present five simulations. In-plane skewing decreases both the Reynolds shear stress and turbulent kinetic energy, whereas strains characteristic of two-dimensional adverse pressure gradients increase them. In all cases, the structure parameter a1, the ratio of shear stress to energy, is diminished, which implies a reduction in the efficiency of the kinetic energy production by the mean shear.
0894-1777
239-251
Coleman, G.N.
ea3639b9-c533-40d7-9edc-3c61246b06e0
Kim, J.
611401fb-38dd-4c8a-a240-d8b21ca969a6
Spalart, P.R.
b90f3552-3126-4a78-b0e6-5153151433ef
Coleman, G.N.
ea3639b9-c533-40d7-9edc-3c61246b06e0
Kim, J.
611401fb-38dd-4c8a-a240-d8b21ca969a6
Spalart, P.R.
b90f3552-3126-4a78-b0e6-5153151433ef

Coleman, G.N., Kim, J. and Spalart, P.R. (1996) Direct numerical simulation of strained three-dimensional wall-bounded flows. Experimental Thermal and Fluid Science, 13 (3), 239-251. (doi:10.1016/S0894-1777(96)00084-2).

Record type: Article

Abstract

Fully developed two-dimensional channel-flow turbulence is subjected to mean strains that imitate those produced by pressure gradients in three-dimensional boundary layers. This is achieved by applying irrotational temporal deformations to the flow domain in a conventional channel direct-numerical-simulation (DNS) code; straining deformations at an angle with respect to the initial flow direction generate a mean cross flow and thus mean three-dimensionality. The velocity difference carried by the near-wall region is further controlled by mean pressure gradients (or by accelerating the walls in-plane), thus introducing another effect of pressure gradients in boundary layers. “Numerical experiments” allow the effects of the inviscid skewing mechanism, adverse pressure gradient, and inner layer to be isolated; our primary interest here is in the outer layer. We present five simulations. In-plane skewing decreases both the Reynolds shear stress and turbulent kinetic energy, whereas strains characteristic of two-dimensional adverse pressure gradients increase them. In all cases, the structure parameter a1, the ratio of shear stress to energy, is diminished, which implies a reduction in the efficiency of the kinetic energy production by the mean shear.

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Published date: October 1996

Identifiers

Local EPrints ID: 71970
URI: http://eprints.soton.ac.uk/id/eprint/71970
ISSN: 0894-1777
PURE UUID: 15c4cd0b-ffcc-4163-a564-3f5ecdbd437a

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Date deposited: 13 Jan 2010
Last modified: 13 Mar 2024 20:54

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Contributors

Author: G.N. Coleman
Author: J. Kim
Author: P.R. Spalart

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