Abstract
The vortex-shedding flow past a square cylinder at Re = 22.000 was calculated with various turbulence models. The 2D periodic shedding motion was resolved in an unsteady calculation, and the superimposed stochastic turbulent fluctuations were simulated both with the k — ε eddy-viscocity model and with a Reynolds-stress equation model. For both models, the viscosity-affected near-wall region was either bridged by wall functions or was resolved with a simpler one-equation model using a prescribed length-scale distribution. The k — ε model with wall functions does not yield unsteady vortex motion while the other model variants do. The two-layer k —ε model underpredicts severely the periodic fluctuations and also the Strouhal number and drag coefficient. The Reynoldsstress-equation models yield considerably better agreement with experiments, but tend to overpredict the periodic fluctuating motion and also miss some other details of the flow behaviour.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Cantwell, B. and Coles, D., 1983, An experimental study of entrainment and transport in the turbulent near-wake of a circular cylinder. J. Fluid Mech., Vol. 136, pp. 321–374.
Durso, D.F.G., Heitor,M.V.,Pereira,J.C.F., 1988: Measurements of turbulent and periodic flows around a square cross-section cylinder. Experiments in Fluids, Vol. 6, pp. 298–304.
Franke, R., 1991, Numerische Berechnung der instationären Wirbelablösung hinter zylindrischen Körpern, Ph.D. Thesis, University of Karlsruhe.
Franke, R., Rodi, W. and Schonung, B., 1989, Analysis of experimental vortex-shedding data with respect to turbulence modelling, Proc. 7th Turbulent Shear Flow Symposium, Stanford, USA.
Franke, R., Rodi, W. and Schönung, B., 1990, Numerical calculation of laminar vortex-shedding flow past cylinders, J. Wind Engineering and Industrial Aerodynamics, Vo1. 35, pp. 237–257.
Gibson, M.m. and Launder, B.E., 1978, Ground effects on pressure fluctuations in the atmospheric boundary layer, J. Fluid Mech., Vol..86, pp- 491.
Gosman, A.D. and Pun, W.M., 1973, Calculation of recirculating flows, Lecture Notes for Course entitled “TEACH”, Imperial College, London.
Launder, B.E., Reece, G.J. and Rodi, W., 1975, Progress in the development of a Reynolds-stress turbulence closure, J. Fluid Mech., Vo1. 68, pp. 537–566.
Lecointe, Y. and Piquet, J., 1989, Flow structure in the wake of an oscillating cylinder, J. Fluids Engineering, VoL111, pp. 139–148.
Leonard, B.P., 1979, A stable and accurate convective modelling procedure based on quadratic upstream interpolation, Comp. Meth. Appl. Mech. and Eng., Vol. 19, pp. 59–98.
Lyn, D.A., (1989):Phase-averaged turbulence measurements in the separated shear-layer region of flow around a square cylinder. Proc. 23rd congress of the Int. Association f. Hydraulic Research, Ottawa, Canada, Aug. 21-25, A85 - A92.
Lyn, D.A., (1990): private communication.
Majumdar, S. and Rodi, W., 1985, Numerical calculations of flow past circular cylinders, Proc. 3rd Symp. on Num. and Phys. Aspects of Aerodynamic Flows, Long Beach, California.
Norris, H.L. and Reynolds, W.C., 1975, Turbulent channel flow with moving wavy boundary, Department Mech. Eng. Rept. FM-10, Stanford University.
Rodi, W., 1980, Turbulence Models and their Application in Hydraulics, Int. Association for Hydraulic Research, Delft, The Netherlands.
Rodi, W., 1991, Experience with two-layer turbulence models combining the k — ε model with a one-equation model near the wall, AIAA paper 91–0216.
Stone, H.L., 1968, Iterative solution of implicit approximations of multidimensional partial differential equations, SIAM J. Num Anal., Vol. 3, No. 3, pp. 530–558.
Tamura, T., Ohta, L and Kuwahara, K, 1990, On the reliability of two-dimension simulation for unsteady flows around a cylinder-type structure, J. Wind Engineering and Industrial Aerodynamics, Vol. 35, pp. 275–298.
Taulbee, D.E. and Tran, L, 1988, Stagnation streamline turbulence, AIAA J., Vol. 26, pp. 1011–1013.
van Doormat, J.P. and Raithby, R.D., 1984, Enhancement of the SIMPLE method for predicting incompressible fluid flows, Num Heat Transfer, Vol. 7, pp. 147–163.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Franke, R., Rodi, W. (1993). Calculation of Vortex Shedding Past a Square Cylinder with Various Turbulence Models. In: Durst, F., Friedrich, R., Launder, B.E., Schmidt, F.W., Schumann, U., Whitelaw, J.H. (eds) Turbulent Shear Flows 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77674-8_14
Download citation
DOI: https://doi.org/10.1007/978-3-642-77674-8_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-77676-2
Online ISBN: 978-3-642-77674-8
eBook Packages: Springer Book Archive