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TECHNICAL PAPERS

Dynamic Subgrid-Scale Modeling for Large-Eddy Simulations in Complex Topologies

[+] Author and Article Information
Stephen A. Jordan

Naval Undersea Warfare Center, Newport, RI 02841

J. Fluids Eng 123(3), 619-627 (Mar 15, 2001) (9 pages) doi:10.1115/1.1374215 History: Received October 06, 2000; Revised March 15, 2001
Copyright © 2001 by ASME
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References

O’Neil,  J., and Meneveau,  C., 1997, “Subgrid-Scale Stresses and Their Modeling in a Turbulent Plane Wake,” J. Fluid Mech. 349, pp. 253–293.
Ghosal,  S., and Moin,  P., 1995, “The Basic Equations for the Large Eddy Simulation of Turbulent Flow in Complex Geometry,” J. Comput. Phys. No. 118, pp. 24–37.
Beaudan, P., and Moin, P., 1994; “Numerical Experiments on the Flow Past a Circular Cylinder at Sub-Critical Reynolds Number,” Report No. TF-62, Stanford, University, Stanford, CA.
Jordan,  S. A., and Ragab,  S. A., 1998, “A Large-Eddy Simulation of the Near Wake of a Circular Cylinder,” ASME J. Fluids Eng. 120, pp. 243–252.
Armenio,  V., and Piomelli,  U., 2000, “A Lagrangian Mixed Subgrid-Scale Model in General Coordinates,” Flow, Turbulence and Combustion, 65, No. 1, pp. 51–81.
Germano,  M., Piomelli,  U., Moin,  P., and Cabot,  W. H., 1991, “A Dynamic Subgrid-Scale Eddy Viscosity Model,” Phys. Fluids A 3, pp. 1760–1765.
Smagorinsky,  J., 1963, “General Circulation Experiments with the Primitive Equations, I. The Basic Experiment,” Mon. Weather Rev. 91, pp. 99–164.
Piomelli,  U., Cabot,  W. H., Moin,  P., and Lee,  S., 1991, “Subgrid-Scale Backscattering Turbulent and Transitional Flows,” Phys. Fluids A 3, pp. 1766–1772.
Jordan,  S. A., 1999, “Large-Eddy Simulation Methodology in Generalized Curvilinear Coordinates,” J. Comput. Phys. 148, pp. 322–340.
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Jordan,  S. A., and Ragab,  S. A., 1996, “An Efficient Fractional-Step Technique for Unsteady Incompressible Flows Using a Semi-Staggered Grid Strategy,” J. Comput. Phys. 127, pp. 218–225.
Ong,  L., and Wallace,  J., 1996, “The Velocity Field of the Turbulent Very Near Wake of a Circular Cylinder,” Exp. Fluids 40, pp. 441–453.
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Uberoi,  M. S., and Freymuth,  P., 1969, “Spectra of Turbulence in Wakes Behind Circular Cylinders,” Phys. Fluids 12, No. 7, pp. 1359–1363.
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Bardina, J., Ferziger, J., and Reynolds, W. C., 1980, “Improved Subgrid-Scale Model for Large-Eddy Simulation,” AIAA Paper 80-1357.
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Figures

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Topology and flow conditions for the direct numerical simulation of the cylinder wake flow; 1 Jordan 9, Re=3400; 2 present computation, Re=3900
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Downstream grid spacing πηd/δx and πηd/δy for the present computations referenced to the inertial subrange (Ong and Wallace 3) of the cylinder vortex street region; Re=3900
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Comparison of the present DNS computations (Re=3900) and the experimental velocity power and dissipation spectra in Kolmorgorov units for the cylinder vortex street; Ong and Wallace 3, x/D=5 and Uberoi and Freymuth 15x/D=200
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Snapshots of the turbulent eddy viscosity distribution (νT/ν) in the cylinder immediate wake as predicted by the nonconservative and conservative forms of the curvilinear dynamic model; (a) contours max. 12.0, min. −13.0, incr. 0.5 and (b) contours max. 16.0, min −11.0, incr. 0.5
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(Continued.)
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Instantaneous turbulent eddy viscosity (νT/ν) along the wake centerline as predicted by the nonconservative and conservative forms of the curvilinear dynamic model
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Phase-averaged and spanwise averaged distributions of the real, nonconservative and conservative normal stress τ11 within the immediate wake; contours max 0.008, min, −0.08, incr. 0.004
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Comparisons of the real and modeled normal SGS stresses (τ11 and τ22) along the wake centerline; nonconservative (NCDM) and conservative (CCDM)
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Comparisons of the real and modeled Reynolds stress τ12 along (a) the wake centerline and (b) the circumferential line (r/D=1.17); nonconservative (NCDM) and conservative (CCDM)
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Phase-averaged and spanwise averaged distributions of the SGS dissipation within the immediate wake; real: max 0.38, min. −0.018, incr. 0.018; nonconservative and conservative: max 0.11, min. −0.11, incr. 0.011
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Comparisons of the real and modeled SGS dissipation rates using the nonconservative and conservative forms of the curvilinear dynamic model; (a) along wake centerline (C indicates global correlation coefficient) and (b) along circumferential line r/D=1.17 in vortex formation regime

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