One-Equation Subgrid Scale Model Using Dynamic Procedure for the Energy Production

[+] Author and Article Information
Takeo Kajishima

Department of Mechanical Engineering,  Osaka University, Suita, Osaka 565-0871, Japankajisima@mech.eng.osaka-u.ac.jp

Takayuki Nomachi1

Department of Mechanical Engineering,  Osaka University, Suita, Osaka 565-0871, Japan


Presently at: Kochi Casio Co., Ltd.

J. Appl. Mech 73(3), 368-373 (Nov 10, 2005) (6 pages) doi:10.1115/1.2164509 History: Received December 13, 2003; Revised November 10, 2005

The transport equation of subgrid scale (SGS) kinetic energy, KSGS, is used for the large-eddy simulation (LES), considering its consistency with dynamic procedure. The dynamically determined parameter is suitable for describing the energy transfer from resolved turbulence to SGS portion. Thus the procedure is applied to the production term in the transport equation of KSGS, while the eddy viscosity in the filtered equation of motion is determined indirectly through KSGS. The statistically derived model for KSGS equation is adopted for the basis of our improvement. Computational examination has been conducted for fully developed turbulent flow in a plane channel. Agreement with DNS database was satisfactory. Moreover, in a channel on solid body rotation, our model reasonably reproduced the decay of SGS turbulence in the vicinity of the suction side.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 1

Influence of grid resolution: relationship between bulk velocity and grid resolution in spanwise directon

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Figure 2

Mean streamwise velocity

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Figure 3

Intensity of velocitty fluctuations at Reτ=590

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Figure 4

Near-wall behavior of GS and SGS turbulent kinetic energy at Reτ=590

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Figure 5

Budget of SGS kinetic energy at Reτ=590 in case 6

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Figure 6

Rotating channel flow

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Figure 7

Mean streamwise velocity in the rotating channel by the OD model

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Figure 8

SGS turbulent energy in the rotating channel by the OD model

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Figure 9

Reynolds shear stress profiles in the rotating channel (dashed lines represent the nonrotating cases)



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