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TECHNICAL PAPERS

Subgrid-Scale Diffusivity: Wall Behavior and Dynamic Methods

[+] Author and Article Information
Guillaume Brillant

 CEA/Grenoble DEN/DER/SSTH/LMDL, 17 rue des Martyrs, 38054 Grenoble Cedex 9, France

Sabine Husson

CEHTIL–UMR 5008, INSA de Lyon, 20 av. A. Einstein, 69621 Villeurbanne Cedex, France

Françoise Bataille1

CEHTIL–UMR 5008, INSA de Lyon, 20 av. A. Einstein, 69621 Villeurbanne Cedex, Francefrancoise.daumas@insa-lyon.fr

1

To whom correspondence should be addressed.

J. Appl. Mech 73(3), 360-367 (Sep 26, 2004) (8 pages) doi:10.1115/1.2173005 History: Received July 26, 2004; Revised September 26, 2004

This study concerns the near-wall behavior of the subgrid-scale diffusivity. This is shown to depend on the thermal boundary conditions. Therefore, the constant subgrid-scale Prandtl number hypothesis is questionable and a direct modeling of the subgrid-scale diffusivity is considered instead. Large-eddy simulations are carried out using the Trio U code in a turbulent channel flow configuration with the three classical thermal boundary conditions (constant temperature, constant heat flux, and adiabatic wall). Different dynamic methods are used to model the subgrid-scale diffusivity and results are compared with constant subgrid-scale Prandtl number large-eddy simulations and with direct numerical simulations.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 2

Walls with imposed temperatures—mean temperature profiles obtained with different subgrid-scale models for the diffusivity

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Figure 3

Walls with imposed temperatures—root mean square of the temperature obtained with different subgrid-scale models for the diffusivity

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Figure 4

Walls with imposed temperatures—correlation u′T′¯ obtained with different subgrid-scale models for the diffusivity

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Figure 5

Walls with imposed temperatures—correlation −v′T′¯ obtained with different subgrid-scale models for the diffusivity

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Figure 6

Walls with imposed temperatures—subgrid-scale diffusivity

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Figure 7

Walls with imposed temperatures—subgrid-scale Prandtl number

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Figure 8

Adiabatic wall—mean temperature profiles obtained with different subgrid-scale models for the diffusivity

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Figure 9

Adiabatic wall—root mean square of the temperature obtained with different subgrid-scale models for the diffusivity

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Figure 10

Wall with an imposed heat flux—mean temperature profiles obtained with different subgrid-scale models for the diffusivity

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Figure 11

Wall with an imposed heat flux—root mean square of the temperature obtained with different subgrid-scale models for the diffusivity

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Figure 1

Configuration considered: a turbulent plane channel

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