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Numerical predictions of low Reynolds number flows over two tandem circular cylinders. (English) Zbl 1085.76044
Summary: Flows over two tandem cylinders were analysed using the newly developed collocated unstructured computational fluid dynamics (CUCFD) code, which is capable of handling complex geometries. A Reynolds number of 100, based on cylinder diameter, was used to ensure that the flow remained laminar. The validity of the code was tested through comparisons with benchmark solutions for flow in a lid-friven cavity and flow around a single cylinder. For the tandem cylinder flow, also mesh convergence was demonstrated, to within a couple of percent for the RMS lift coefficient.
The mean and fluctuating lift and drag coefficients were recorded for centre-to-centre cylinder spacings between 2 and 10 diameters. A critical cylinder spacing was found between 3.75 and 4 diameters. The fluctuating forces jumped appreciably at the critical spacing. It was found that there exists only one reattachment and one separation point on the downstream cylinder for spacings greater than the critical spacing.
The mean and the fluctuating surface pressure distributions were compared as a function of the cylinder spacing. The mean and the fluctuating pressures were significantly different between the upstream and the downstream cylinders. These pressures also differed with the cylinder spacing.

MSC:
76M12 Finite volume methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
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[1] Flow Around Circular Cylinders?Volume 1: Fundamentals. Oxford University Press: Oxford, 1997. · Zbl 0882.76004
[2] Wake Interference and Vortex Shedding. Aerodynamics and Compressible Flow, vol. 8. Gulf Publishing Company: Houston, TX, 1989; 322-389.
[3] Igarashi, Bulletin of the JSME 24 pp 323– (1981) · doi:10.1299/jsme1958.24.323
[4] Zdravkovich, Journal of Sound and Vibration 101 pp 511– (1985)
[5] Ljungkrona, Journal of Fluids and Structures 5 pp 701– (1991)
[6] Visual studies on wake structure behind two cylinders in tandem arrangement. Reports of Research Institute for Applied Mechanics, vol.XXXII(99), 1985.
[7] Tanida, Journal of Fluid Mechanics 61 pp 769– (1973)
[8] Norberg, Journal of Fluids Mechanics 258 pp 287– (1994)
[9] Williamson, Journal of Fluid Mechanics 206 pp 579– (1989)
[10] Li, Computers and Fluids 19 pp 155– (1991)
[11] Mittal, International Journal for Numerical Methods in Fluids 25 pp 1315– (1997)
[12] Slaouti, Journal of Fluids and Structures 6 pp 641– (1992)
[13] Meneghini, Journal of Fluids and Structures 15 pp 327– (2001)
[14] Available on the Internet: http://scorec.rpi.edu/?kaan/
[15] Available on Internet: http://www-dinma.univ.trieste.it/?nirftc/research/easymesh/easymesh.html
[16] Rhie, AIAA Journal 21 pp 1525– (1983)
[17] Two calculation procedures for steady, three-dimensional flows with recirculation. Proceedings of the Third Conference on Numerical Methods in Fluid Dynamics, Paris, 1972.
[18] Calculus. Prentice-Hall Canada Inc., 1993.
[19] The integrated space-time finite volume method. Ph.D. Thesis, University of Waterloo, Waterloo, Ontario, Canada, 1999.
[20] Numerical predictions of low Reynolds number flow over two tandem circular cylinders. Master’s Thesis, University of Waterloo, Waterloo, Ontario, Canada, 2002.
[21] Computational Methods for Fluid Dynamics (2nd edn). Springer: Berlin, 1999. · Zbl 0943.76001 · doi:10.1007/978-3-642-98037-4
[22] Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods (2nd edn). SIAM: Philadelphia, PA, 1994. · doi:10.1137/1.9781611971538
[23] Direct numerical simulation of turbulent flow over a backward-facing step. Report No. TF-58, Department of Mechanical Engineering, Stanford University, 1994.
[24] The full multigrid method applied to turbulent flow in ventilated enclosures using structured and unstructured grids. Ph.D Thesis, Chalmers University of Technology, Göteborg, 1997.
[25] Norberg, Journal of Fluids and Structures 17 pp 57– (2003)
[26] Technical report, TU Dresden, Germany.
[27] Park, KSME International Journal 12 pp 1200– (1998)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.