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Numerical simulation of laminar flow past a circular cylinder. (English) Zbl 1168.76305
Summary: The present paper focuses on the analysis of two- and three-dimensional flow past a circular cylinder in different laminar flow regimes. In this simulation, an implicit pressure-based finite volume method is used for time-accurate computation of incompressible flow using second order accurate convective flux discretisation schemes. The computation results are validated against measurement data for mean surface pressure, skin friction coefficients, the size and strength of the recirculating wake for the steady flow regime and also for the Strouhal frequency of vortex shedding and the mean and RMS amplitude of the fluctuating aerodynamic coefficients for the unsteady periodic flow regime. The complex three dimensional flow structure of the cylinder wake is also reasonably captured by the present prediction procedure.

MSC:
76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
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[1] Zdravkovich, M., Flow around circular cylinders, vol. 1, (1997), Oxford Science Publication · Zbl 0882.76004
[2] Majumdar, S.; Rodi, W.; Zhu, J., Three-dimensional finite volume method for incompressible flows with complex boundaries, J. fluid eng. ASME, 496-503, (1992)
[3] S. Majumdar, Pressure based Navier-Stokes solver for three-dimensional flow in hydrodynamics and low speed aerodynamics application, in: Proceedings of the 3rd Asian CFD Conference, Bangalore, vol. 1, 1998, pp. 137-146.
[4] Majumdar, S.; Rajani, B.N., Numerical computation of flow around aerostats using a pressure-based navier – stokes solver, J. aeronaut. soc. India, 53, 2, 117-127, (2001)
[5] S. Majumdar, B.N. Rajani, D.S.Kulkarni, S.Mohan. RANS computation of low speed turbulent flow in complex configuration, in: Proceedings of the Symposium on State of the Art and Future Trends of CFD at NAL, NAL SP03 01, 2003, pp. 31-48.
[6] Williamson, C.H.K., Vortex dynamics in the cylinder wakes, Ann. rev. fluid mech., 28, 477-539, (1996)
[7] Thompson, M.; Hourigan, K.; Sheridan, J., Three-dimensional instabilities in the wake of a circular cylinder, Exp. thermal fluid sci., 12, 190-196, (1996)
[8] R. Mittal, S. Balachandar, On the inclusion of three-dimensional effects in simulation of two-dimensional bluff-body wake flows, ASME Fluids Engineering Division Summer Meeting, 1997.
[9] Mittal, S., Computation of three-dimensional flow past circular cylinder of low aspect ratio, Phys. fluids, 13, 177-191, (2001) · Zbl 1184.76370
[10] Patankar, S.V., Numerical heat transfer and fluid flow, (1980), Hemisphere Pub., Co. · Zbl 0595.76001
[11] Khosla, P.K.; Rubin, S.G., A diagonally dominant second-order accurate implicit scheme, Comput. fluids, 2, 207-209, (1974) · Zbl 0335.76009
[12] Stone, H.L., Iterative solution of implicit approximations of multidimensional partial differential equations, SIAM J. numer. anal., 5, 530, (1968) · Zbl 0197.13304
[13] Barkley, D.D.; Henderson, R.D., Three-dimensional Floquet stability analysis of the wake a circular cylinder, J. fluid mech., (1996) · Zbl 0882.76028
[14] B.N. Rajani, Harsha Gopal Lanka, S. Majumdar. Laminar flow past a circular cylinder at Reynolds number varying from 50 to 5000, NAL PD CF 0501, 2005.
[15] S. Manoj Kumar, Numerical Computation of Turbulent Flow Past Bluff Bodies, M.Tech Thesis, Department of Mechanical Engineering, National Institute of Technolgy, Calicut, Kerala, 2004.
[16] Taneda, S., Experimental investigation of the wakes behind cylinder and plates at low Reynolds number, J. phys. soc. jpn., 14, 843, (1956)
[17] Coutanceau, M.; Bouard, R., Experimental determination of the main features of the viscous flow in the wake of a circular cylinder in uniform translation: steady flow, J. fluid mech., 70, 231, (1977)
[18] Homann, F., Influence of higher viscosity on flow around cylinder, Forsch. gebiete ingenieur., 17, 1-10, (1936), (in German)
[19] Norberg, C., An experimental investigation of the flow around a circular cylinder: influence of aspect ratio, J. fluid mech., 258, 287, (1994)
[20] Kumar, B.; Mittal, S., Prediction of the critical Reynolds number for flow past a circular cylinder, Comput. meth. appl. mech. eng., 195, 6046-6058, (2005) · Zbl 1119.76031
[21] Dimopoulous, H.G.; Hanratty, T.J., Velocity gradients at the wall for flow around a cylinder for Reynolds number between 60 and 360, J. fluid mech., 33, 303-319, (1968)
[22] Thom, A., The flow past circular cylinder at low speeds, Proc. royal soc. A, 141, 651-669, (1933) · JFM 59.0765.01
[23] Williamson, C.H.K.; Roshko, A., Measurement of base pressure in the wake of a cylinder at low Reynolds numbers, Zeits. flugwiss weltraum., 14, 38-46, (1990)
[24] Norberg, C., Pressure forces on a circular cylinder in cross flow, (), 275-278
[25] Hama, F.R., Three-dimensional vortex pattern behind a circular cylinder, J. aeronaut. sci., 24, 156, (1957)
[26] Gerrard, J.H., The wakes of cylindrical bluff bodies at low Reynolds number, Philos. trans. royal soc., lond. ser. A, 288, 351, (1978)
[27] Karniadakis, G.E.; Triantafyllou, G.E., Three-dimensional dynamics and transition to turbulence in the wake of bluff objects, J. fluid mech., 238, 1-30, (1992) · Zbl 0754.76043
[28] Zhang, H.Q.; Fey, U.; Noack, B.R.; König, M.; Eckelmann, H., On the transition of the cylinder wake, Phys. fluids, 7, 779-794, (1995)
[29] Mittal, R.; Balachandar, S., Generation of streamwise vortical structures in bluff body wakes, Phys. rev. lett, 75, 5, 1300-1303, (1995)
[30] Norberg, C., Flow around circular cylinder: aspects of fluctuating lift, J. fluid struct., 15, 459-469, (2001)
[31] C. Wieselsberger, New data on the law of hydro and aerodynamic resistance. NACA TN 84, 1922 (in German).
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