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A numerical study of vortex shedding from rectangles

Published online by Cambridge University Press:  20 April 2006

R. W. Davis
Affiliation:
Fluid Engineering Division, National Bureau of Standards, Washington, D.C. 20234, U.S.A.
E. F. Moore
Affiliation:
Fluid Engineering Division, National Bureau of Standards, Washington, D.C. 20234, U.S.A.

Abstract

The purpose of this paper is to present numerical solutions for two-dimensional time-dependent flow about rectangles in infinite domains. The numerical method utilizes third-order upwind differencing for convection and a Leith type of temporal differencing. An attempted use of a lower-order scheme and its inadequacies are also described. The Reynolds-number regime investigated is from 100 to 2800. Other parameters that are varied are upstream velocity profile, angle of attack, and rectangle dimensions. The initiation and subsequent development of the vortex-shedding phenomenon is investigated. Passive marker particles provide an exceptional visualization of the evolution of the vortices both during and after they are shed. The properties of these vortices are found to be strongly dependent on Reynolds number, as are lift, drag, and Strouhal number. Computed Strouhal numbers compare well with those obtained from a wind-tunnel test for Reynolds numbers below 1000.

Type
Research Article
Copyright
© 1982 Cambridge University Press

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References

Baum, H. R., Ciment, M., Davis, R. W. & Moore, E. F. 1981 Numerical solutions for a moving shear layer in a swirling axisymmetric flow. In Proc. 7th Int. Conf. on Numerical Methods in Fluid Dyn. (ed. W. C. Reynolds & R. W. MacCormack). Lect. Notes in Phys., vol. 141, pp. 7479. Springer.
Bearman, P. W. 1980 Bluff body flows applicable to vehicle aerodynamics. Trang. A.S.M.E. I, J. Fluids Engng 102, 265274.Google Scholar
Bearman, P. W. & Graham, J. M. R. 1980 Vortex shedding from bluff bodies in oscillatory flow: a report on Euromech 119. J. Fluid Mech. 99, 225245.Google Scholar
Chorin, A. J. 1973 Numerical study of slightly viscous flow. J. Fluid Mech. 57, 785796.Google Scholar
Davis, R. W. & Moore, E. F. 1981 The numerical simulation of flow around squares. In Proc. 2nd Int. Conf. on Numerical Methods in Laminar and Turbulent Flow (ed. C. Taylor & B. A. Schrefler), pp. 279290. Swansea: Pineridge.
Fromm, J. E. & Harlow, F. H. 1963 Numerical solution of the problem of vortex street development. Phys. Fluids 6, 975982.Google Scholar
Ghia, U. & Davis, R. T. 1974 Navier-Stokes solutions for flow past a class of two-dimensional semi-infinite bodies. A.I.A.A. J. 12, 16591665.Google Scholar
Hirt, C. W., Nichols, B. D. & Romero, N. C. 1975 SOLA - A numerical solution algorithm for transient fluid flows. Los Alamos Scientific Laboratory Rep. LA-5852.Google Scholar
Kinney, R. B. 1975 Unsteady Aerodynamics. University of Arizona, Tucson.
Lee, B. E. 1975 The effect of turbulence on the surface pressure field of a square prism. J. Fluid Mech. 69, 263282.Google Scholar
Leonard, B. P. 1979 A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Comp. Meth. Appl. Mech. & Engng 19, 5998.Google Scholar
Leonard, B. P., Leschziner, M. A. & McGuirk, J. 1978 Third-order finite-difference method for steady two-dimensional convection. In Numerical Methods in Laminar and Turbulent Flow (ed. C. Taylor, K. Morgan & C. A. Brebbia), pp. 807819. Wiley.
Lugt, H. J. & Haussling, H. J. 1974 Laminar flow past an abruptly accelerated elliptic cylinder at 45 incidence. J. Fluid Mech. 65, 711734.Google Scholar
Mair, W. A. & Maull, D. J. 1971 Bluff bodies and vortex shedding - a report on Euromech 17. J. Fluid Mech. 45, 209224.Google Scholar
Mehta, U. B. & Lavan, Z. 1975 Starting vortex, separation bubbles and stall: a numerical study of laminar unsteady flow around an airfoil. J. Fluid Mech. 67, 227256.Google Scholar
Naudascher, E. (ed.) 1974 Flow-Induced Structural Vibrations. Springer.
Purtell, L. P. & Klebanoff, P. S. 1979 A low-velocity airflow calibration and research facility. National Bureau of Standards Technical Note no. 989.Google Scholar
Roache, P. J. 1976 Computational Fluid Dynamics. Albuquerque: Hermosa.
Rockwell, D. O. 1977 Organized fluctuations due to flow past a square cross section cylinder. Trans. A.S.M.E. I, J. Fluids Engng 99, 511516.Google Scholar
Simiu, E. & Scanlan, R. H. 1978 Wind Effects on Structures. Wiley.
Sovran, G., Morel, T. & Mason, W. T.(eds.) 1978 Aerodynamic Drag Mechanisms of Bluff Bodies and Road Vehicles. Plenum.
Swanson, J. C. & Spaulding, M. L. 1978 Three-dimensional numerical model of vortex shedding from a circular cylinder. In Nonsteady Fluid Dynamics (ed. D. E. Crow & J. A. Miller), pp. 207216. A.S.M.E. Book no. H00118.
Thoman, D. & Szewczyk, A. A. 1969 Time dependent viscous flow over a circular cylinder. Phys. Fluids Suppl. II-76–II-87.
Vickery, B. J. 1966 Fluctuating lift and drag on a long cylinder of square cross-section in a smooth and in a turbulent stream. J. Fluid Mech. 25, 481494.Google Scholar
Wilkinson, R. H., Chaplin, J. R. & Shaw, T. L. 1974 On the correlation of dynamic pressures on the surface of a prismatic bluff body. In Flow-Induced Structural Vibrations (ed. E. Naudascher), pp. 471487. Springer.