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TECHNICAL PAPERS

Development of a Continuous Model for Simulation of Turbulent Flows

[+] Author and Article Information
M. Yousuff Hussaini

School of Computational Science and Information Technology,  Florida State University, Tallahassee, FL 32306

Siva Thangam1

Department of Mechanical Engineering,  Stevens Institute of Technology, Hoboken, NJ 07030

Stephen L. Woodruff

Center for Advanced Power Systems,  Florida State University, Tallahassee, FL 32306

Ye Zhou2

ICASE,  NASA Langley Research Center, Hampton, VA 23681

1

To whom correspondence should be addressed. Work performed while on sabbtical leave at the School of Computational Science and Information Technology, Florida State University, Tallahassee, FL 32306.

2

Present address: Lawrence Livermore Laboratory, P. O. Box 808, Livermore, CA 94551.

J. Appl. Mech 73(3), 441-448 (Nov 04, 2005) (8 pages) doi:10.1115/1.2173006 History: Received December 20, 2004; Revised November 04, 2005

The development of a continuous turbulence model that is suitable for representing both the subgrid scale stresses in large eddy simulation and the Reynolds stresses in the Reynolds averaged Navier-Stokes formulation is described. A recursion approach is used to bridge the length scale disparity from the cutoff wave number to those in the energy-containing range. The proposed model is analyzed in conjunction with direct numerical simulations of Kolmogorov flows.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 3

Time variation of kinetic energy and dissipation for DNS calculations (a)643 and (b) 1283 resolution

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Figure 2

Schematic for the energy spectrum and recursive incorporation of scales in the LES model

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Figure 1

Physical configuration of the Kolmogorov flow

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Figure 10

Plane-averaged profiles of turbulent kinetic energy and dissipation in the vertical direction, z∕L for 323 LES (O), and 643 (- - -) and 1283 DNS (——) calculations

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Figure 4

Averaged energy spectrum E(k) vs the wave number k: (a) 643 and (b) 1283 resolution

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Figure 5

Dimensionless plane-averaged velocity profiles in the vertical direction, z∕L:(a)643C and (b)1283 resolution

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Figure 6

Plane-averaged profiles of turbulent shear stress components in the vertical direction, z∕L: (a) 643 and (b) 1283 resolution

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Figure 7

Averaged spectrum of Kolmogorov anisotropy tensor: (a) diagonal components and (b) off-diagonal components

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Figure 8

Plane-averaged profiles of (a) normal stress anisotropy, Bi and (b) cross-correlation, Qij in the vertical direction

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Figure 9

Plane-averaged profiles of turbulent shear stress in the vertical direction, z∕L for 323 LES (O), and 643 (- - -) and 1283 DNS (——) calculations

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