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TECHNICAL PAPERS

A Comparison of Second-Moment Closure Models in the Prediction of Vortex Shedding From a Square Cylinder Near a Wall

[+] Author and Article Information
Anthony G. Straatman, Robert J. Martinuzzi

The Advanced Fluid Mechanics Research Group, Department of Mechanical & Materials Engineering, The University of Western Ontario, London, Ontario N6A 5B9, Canada

J. Fluids Eng 124(3), 728-736 (Aug 19, 2002) (9 pages) doi:10.1115/1.1490127 History: Received November 02, 2001; Revised April 03, 2002; Online August 19, 2002
Copyright © 2002 by ASME
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References

Franke, R., and Rodi, W., 1993, “Calculation of Vortex Shedding Past a Square Cylinder With Various Turbulence Models,” in Turbulent Shear Flows 8, F. Durst, et al., eds., Springer, New York, pp. 189–204.
Bosch,  G., and Rodi,  W., 1996, “Simulation of Vortex Shedding Past a Square Cylinder Near a Wall,” Int. J. Heat Fluid Flow, 17(3), pp. 267–275.
Bosch,  G., and Rodi,  W., 1998, “Simulation of Vortex Shedding Past a Square Cylinder with Different Turbulence Models,” Int. J. Numer. Methods Fluids, 28, pp. 601–616.
Lee,  S., and Bienkiewicz,  B., 1998, “Finite Element Implementation of Large Eddy Simulation for Separated Flows,” J. Wind. Eng. Ind. Aerodyn., 77, pp. 603–617.
Bouris,  D., and Bergeles,  G., 1999, “2D LES of Vortex Shedding From a Square Cylinder,” J. Wind. Eng. Ind. Aerodyn., 80, pp. 31–46.
Thomas,  T. G., and Williams,  J. J. R., 1999, “Large Eddy Simulation of Vortex Shedding From Cubic Obstacle,” Journal of Aerospace Engineering, 12(4), pp. 113–121.
Peng,  Y. F., and Hwang,  R. R., 1999, “A Numerical Study on Turbulent Vortex Shedding Flows Around a Cubical Form,” J. Chin. Inst. Eng., 22(5), pp. 639–648.
Rodi,  W., 1998, “Comparison of LES and RANS Calculations of the Flow Around Bluff Bodies,” J. Wind. Eng. Ind. Aerodyn., 69, pp. 55–75.
Wu, K. C. Q., and Martinuzzi, R. J., 1997, “Experimental Study of the Turbulent Wake Flow behind a Square Cylinder near a Wall,” Paper FEDSM97-3151, Proc. ASME FED Summer Meeting, Vancouver, British Columbia, Canada.
Hussain,  A. K. M. F., 1983, “Coherent Structures, Reality and Myth,” Phys. Fluids, 26(10), pp. 2816–2849.
Straatman,  A. G., 1999, “A Modified Model for Diffusion in Second-Moment Turbulence Closures,” ASME J. Fluids Eng., 121(4), pp. 747–756.
Daly,  B. J., and Harlow,  F. H., 1970, “Transport Equations in Turbulence,” Phys. Fluids, 13(11), pp. 2634–2649.
Speziale,  C. G., Sarkar,  S., and Gatski,  T. B., 1991, “Modelling the Pressure-Strain Correlation of Turbulence: An Invariant Dynamical Systems Approach,” J. Fluid Mech., 227, pp. 245–272.
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Leonard,  B. P., 1979, “A Stable and Accurate Convection Modelling Procedure Based on Quadratic Upstream Interpolation,” Comput. Methods Appl. Mech. Eng., 19, pp. 59–98.
Straatman, A. G., 2001, “Implementation and Validation of the Modified LUM Diffusion Model in a Second-Moment Closure,” Proc. 9th Annual Conference of the CFD Society of Canada, Waterloo, Ontario, Canada, pp. 511–517.
Bailey, S. C. C., 2001, “Experimental Investigation of the Pressure Distribution for a Square Cylinder near a Solid Boundary,” M.E.Sc. thesis, The University of Western Ontario, London, Canada.
Martinuzzi, R. J., and Straatman, A. G., “A Study of the Onset/Suppression of Vortex Shedding from a Square Cylinder in Proximity to a Wall,” Submitted for publication to ASME J. Fluids Eng., Apr. 2002.
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Figures

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Schematic representation of the square cylinder geometry showing the coordinate system and all important parameters
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Plot showing the temporal variation of pressure for on point on the upper face of the cylinder for S/D=1 computed using DH,RTI+IP. The figure on the right shows the result of the FFT conducted on the temporal pressure signal.
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Plot comparing the temporal variation of lift, 〈CL〉, for (a) S/D=1 and (b) S/D=0.5 predicted using the LUM+SSG model combination and compared to the measured results of Wu and Martinuzzi 9
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Plot comparing the temporal variation of drag, 〈CD〉, for (a) S/D=1 and (b) S/D=0.5 predicted using the LUM+RTI model combination and compared to the measured results of Wu and Martinuzzi 9
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Plots comparing the predicted time-averaged pressure variation around the cylinder (a) and along the lower wall (b) with the experimental results of Wu and Martinuzzi 9
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Profiles of the mean velocities and the u1u1,u2u2 and u1u2 Reynolds-stresses, all normalized by the inlet velocity Uo, for the case of S/D=1.0. Included for comparison are the experimental results of Wu and Martinuzzi 9. All data are for the axial positions indicated in the u1u2 plot.
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Profiles of the mean velocities and the u1u1,u2u2 and u1u2 Reynolds-stresses, all normalized by the inlet velocity Uo, for the case of S/D=0.5. Included for comparison are the experimental results of Wu and Martinuzzi 9. Legend and axial positions same as in Fig. 6.
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Profiles of the mean velocities and the u1u1,u2u2 and u1u2 Reynolds-stresses, all normalized by the inlet velocity Uo, for the case of S/D=0.25. Included for comparison are the experimental results of Wu and Martinuzzi 9. Legend and axial positions same as in Fig. 6.

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