Numerical Investigation of the Viscous Incompressible Flow Around Two Circular Cylinders in Tandem Arrangement
Main Article Content
Abstract
The shedding of vortices and flow interference between two circular cylinders in tandem arrangements are investigated numerically in this paper. The two values 1.5 and 4.0 of the ratio between the distance of two cylinders and the diameter of the cylinder were used. The immersed boundary method (IBM) is used for the simulations of the two-dimensional cases. The calculations are carried out on a Eulerian-Lagrangian grid using the finite difference method. The simulations are performed using two Reynolds numbers 100 and 200. The streamline and vorticity contours of the flow around the cylinders and force time histories are presented. The calculations are also compared to results obtained by other researchers. Numerical results show that the immersed boundary method can easily solve the viscous incompressible flow past single and two cylinders in a tandem arrangement.
Keywords
Immersed boundary method, Circular cylinder, Tandem arrangement, Incompressible flow
Article Details
References
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[2] I. Borazjani, and F. Sotiropoulos, Vortex-induced vibrations of two cylinders in tandem arrangement in the proximity-wake interference region. J Fluid Mech. 621 (2009) 321-364.
[3] A. Slaouti, and P.K. Stansby, Flow around two circular cylinders by the random-vortex method. Journal of Fluids and Structures. 6 (1992) 641-670.
[4] K.R. Yu, et al., Flow-induced vibrations of in-line cylinder arrangements at low Reynolds numbers. Journal of Fluids and Structures. 60 (2016) 37-61.
[5] C.S. Peskin, The immersed boundary method. Acta Numerica. (2003) 1-39.
[6] M. Rosenfeld, D. Kwak, and M. Vinokur, A fractional step solution method for the unsteady incompressible Navier-Stokes equations in generalized coordinate systems. Journal of Computational Physics. 94 (1991) 102-137.
[7] C. Liu, X. Zheng, and C.H. Sung, Preconditioned Multigrid Methods for Unsteady Incompressible Flows. Journal of Computational Physics. 139 (1998) 35-57.
[8] D. Calhoun, A Cartesian Grid Method for Solving the Two-Dimensional Streamfunction Vorticity Equations in Irregular Regions. Journal of Computational Physics. 176 (2002) 231-275.
[9] D. Russell, and Z. Jane Wang, A cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow. Journal of Computational Physics. 191 (2003) 177-205.
[10] J. H. Gerrard, he wakes of cylindrical bluff bodies at low Reynolds numbers. Philos. Trans. R. Soc. Lond. A. 288 (1978) 351-382.
[11] R. Wille, Kármán Vortex Streets. Advances in Applied Mechanics. 6 (1960), 273-287.
[12] A. Roshko, On the drag and shedding frequency of bluff cylinders. Nut. Adv. Comm. Aero., Wash., Tech. Note. (1954) 3169.