Research Papers: CFD and VIV

Prediction of Turbulent Flow Around a Square Cylinder With Rounded Corners

[+] Author and Article Information
S. S. Dai, H. Y. Zhang

Deep Water Engineering Research Center,
Harbin Engineering University,
Harbin 150001, China

B. A. Younis

Department of Civil and
Environmental Engineering,
University of California,
Davis, CA 95616

1Corresponding author.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received June 30, 2016; final manuscript received January 18, 2017; published online April 11, 2017. Assoc. Editor: David R. Fuhrman.

J. Offshore Mech. Arct. Eng 139(3), 031804 (Apr 11, 2017) (9 pages) Paper No: OMAE-16-1073; doi: 10.1115/1.4035957 History: Received June 30, 2016; Revised January 18, 2017

Predictions are reported of the two-dimensional turbulent flow around a square cylinder with rounded corners at high Reynolds numbers. The effects of rounded corners have proved difficult to predict with conventional turbulence closures, and hence, the adoption in this study of a two-equation closure that has been specifically adapted to account for the interactions between the organized mean-flow motions due to vortex shedding and the random motions due to turbulence. The computations were performed using openfoam and were validated against the data from flows past cylinders with sharp corners. For the case of rounded corners, only the modified turbulence closure succeeded in capturing the consequences of the delayed flow separation manifested mainly in the reduction of the magnitude of the lift and drag forces relative to the sharp-edged case. These and other results presented here argue in favor of the use of the computationally more efficient unsteady Reynolds-averaged Navier-Stokes approach to this important class of flows provided that the effects of vortex shedding are properly accounted for in the turbulence closure.

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Bearman, P. W. , Graham, J. M. R. , Obasaju, E. D. , and Drossopoulos, G. M. , 1984, “ The Influence of Corner Radius on the Force Experienced by Cylindrical Bluff Bodies in Oscillatory Flow,” Appl. Ocean Res., 6(2), pp. 83–89. [CrossRef]
Kawai, H. , 1998, “ Effect of Corner Modifications on Aeroelastic Instabilities of Tall Buildings,” J. Wind Eng. Ind. Aerodyn., 74–76(1), pp. 719–729. [CrossRef]
Tamura, T. , Miyagi, T. , and Kitagishi, T. , 1998, “ Numerical Prediction of Unsteady Pressures on a Square Cylinder With Various Corner Shapes,” J. Wind Eng. Ind. Aerodyn., 74–76, pp. 531–542. [CrossRef]
Tamura, T. , and Miyagi, T. , 1999, “ The Effect of Turbulence on Aerodynamic Forces on a Square Cylinder With Various Corner Shapes,” J. Wind Eng. Ind. Aerodyn., 83(1–3), pp. 135–145. [CrossRef]
Dalton, C. , and Zheng, W. , 2003, “ Numerical Solutions of a Viscous Uniform Approach Flow Past Square and Diamond Cylinders,” J. Fluids Struct., 18(3–4), pp. 455–465. [CrossRef]
Miran, S. , and Sohn, C. H. , 2015, “ Numerical Study of the Rounded Corners Effect on Flow Past a Square Cylinder,” Int. J. Numer. Methods Heat Fluid Flow, 25(4), pp. 686–702. [CrossRef]
Jaiman, R. K. , Sen, S. , and Gurugubelli, P. S. , 2015, “ A Fully Implicit Combined Field Scheme for Freely Vibrating Square Cylinders With Sharp and Rounded Corners,” Comput. Fluids, 112, pp. 1–18. [CrossRef]
Carassale, L. , Freda, A. , and Marre-Brunenghi, M. , 2014, “ Experimental Investigation on the Aerodynamic Behavior of Square Cylinders With Rounded Corners,” J. Fluids Struct., 44, pp. 195–204. [CrossRef]
Ajith Kumar, R. , Sohn, C. H. , and Lakshmana Gowda, B. H. , 2009, “ Influence of Corner Radius on the Near Wake Structure of a Transversely Oscillating Square Column,” J. Mech. Sci. Technol., 23(9), pp. 2390–2416. [CrossRef]
Hu, J. C. , Zhou, Y. , and Dalton, C. , 2005, “ Effects of the Corner Radius on the Near Wake of a Square Prism,” Exp. Fluids, 40(1), pp. 106–118. [CrossRef]
Nidhul, K. , 2014, “ Influence of Corner Geometry on the Flow Structure and Flow Characteristics for Flow Past a Square Column at Re=150,” Int. J. Res. Aeronaut. Mech. Eng., 2, pp. 32–41.
Delany, N. K. , and Sorensen, N. E. , 1953, “ Low Speed Drag of Cylinders of Various Shapes,” National Advisory Committee for Aeronautics, Washington, DC, Technical Note NACA-3038.
Murakami, S. , 1993, “ Comparison of Various Turbulence Models Applied to a Bluff Body,” J. Wind Eng. Ind. Aerodyn., 46–47, pp. 21–36. [CrossRef]
Tsuchiya, M. , Murakami, S. , Mochida, A. , Kondo, K. , and Ishida, Y. , 1997, “ Development of a New Model for Flow and Pressure Fields Around Bluff Body,” J. Wind Eng. Ind. Aerodyn., 67–68, pp. 169–182. [CrossRef]
Younis, B. A. , and Przulj, V. P. , 2006, “ Computation of Turbulent Vortex Shedding,” Comput. Mech., 37(5), pp. 408–425. [CrossRef]
Dai, S. S. , Younis, B. A. , and Sun, L. P. , 2015, “ OpenFOAM Predictions of Hydrodynamics Loads on Full-Scale TLP,” Ocean Eng., 102(1), pp. 162–173. [CrossRef]
Eca, L. , Hoekstra, M. , and Roache, P. J. , 2007, “ Verification of Calculations an Overview of the 2nd Lisbon Workshop on CFD Uncertainty Analysis,” AIAA Paper No. 2007–4089.
Celik, I. B. , Ghia, U. , Roache, P. J. , Freitas, C. J. , Coleman, H. , and Read, P. E. , 2008, “ Procedure for Estimation and Reporting of Uncertainty Due to Discretization in CFD Applications,” ASME J. Fluids Eng., 130(7), p. 078001. [CrossRef]
Lyn, D. A. , Einav, S. , Rodi, W. , and Park, J. H. , 1995, “ A Laser Doppler Velocimetry Study of Ensemble-Averaged Characteristics of the Turbulent Near Wake of a Square Cylinder,” J. Fluid Mech., 304, pp. 285–319. [CrossRef]
Yu, D. H. , and Kareem, A. , 1997, “ Numerical Simulation of Flow Around Rectangular Prism,” J. Wind Eng. Ind. Aerodyn., 67–68, pp. 195–208. [CrossRef]
Rodi, W. , Ferziger, J. H. , Breuer, M. , and Pourquie, M. , 1997, “ Status of Large Eddy Simulation: Results of a Workshop,” ASME J. Fluids Eng., 119(2), pp. 248–262. [CrossRef]
Lee, B. E. , 1975, “ The Effect of Turbulence on the Surface Pressure Field of a Square Prism,” J. Fluid Mech., 69(2), pp. 263–282. [CrossRef]
Sohankar, A. , Davidson, L. , and Norberg, C. , 2000, “ Large Eddy Simulation of Flow Past a Square Cylinder: Comparison of Different Subgrid Scale Models,” ASME J. Fluids Eng., 122(1), pp. 39–47. [CrossRef]
Bearman, P. W. , and Obasaju, E. D. , 1982, “ An Experimental Study of Pressure Fluctuations on Fixed and Oscillating Square-Section Columns,” J. Fluid Mech., 119, pp. 297–321. [CrossRef]


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Fig. 1

Grid arrangement and boundary conditions: (a) grid distribution and computational domain, (b) mesh details near rounded corners, and (c) locations of pressure monitoring points

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Fig. 2

Predicted variation of lift- and drag coefficients with time as obtained with the standard and the modified k–ϵ models for cylinder with rounded corners (Re=2.0×104)

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Fig. 3

Contours of velocity and pressure for square cylinder with sharp corners (Re=2.0×104): (a) velocity contours and (b) pressure contours

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Fig. 4

Time history of Cd and Cl of square cylinder with sharp corners (Re=2.0×104)

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Fig. 5

Instantaneous velocity vectors and streamlines of square cylinder at Re=2.0×104: (a) sharp-cornered cylinder and (b) rounded corners cylinder

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Fig. 6

Predicted and measured mean wall static pressure distribution: (a) Re=2.0×104 and (b) Re=2.0×105

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Fig. 7

Predicted variation of fluctuating pressure versus θ: (a) Re=2.0×104 and (b) Re=2.0×105

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Fig. 8

Time history of drag and lift coefficients for rounded corners cylinder (Re=2×104)

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Fig. 9

Comparison of time history of drag for square column with rounded corners at different Reynolds number: (a) Re=2.0×104 and (b) Re=2.0×105

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Fig. 10

Comparison of time history of lift forces for square column with rounded corners at different Reynolds number: (a) Re=2.0×104 and (b) Re=2.0×105

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Fig. 11

Predicted power spectrum of fluctuating lift coefficients for square column with and without rounded corners at Re=2.0×105



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