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Optimal active control of laminar flow over a circular cylinder using Taguchi and ANN. (English) Zbl 1408.76242
Summary: Increasing the lifetime of engineering structures is dependent on the unsteady forces exerted by vortex shedding. Flow controllers can be used for suppression of vortex shedding behind the cylindrical structures. The main objective of this paper is to minimize the wake generated behind a circular cylinder in laminar flow, $$\mathrm{Re}=150$$. Two counter rotating controllers inject the momentum in the wake region or actively control the vortex shedding. The important parameters for defining the effectiveness of flow control are the lift and drag fluctuations besides the drag coefficient. The computational methodology is based on the finite volume method using the SIMPLE algorithm. The parameters that affect on the wake control are the rotation rate, diameter of controllers, radial and the angular distances. Determining the optimum governing parameters is important. A neural network is used for finding these optimum parameters. The input data for training this neural network were provided by the Taguchi method. Moreover the Taguchi method clarified the influence of each parameter on the wake generation. At the optimal obtained conditions the drag coefficient reduced up to 99.99% and the vortex shedding suppressed appropriately.
##### MSC:
 76D55 Flow control and optimization for incompressible viscous fluids 76D17 Viscous vortex flows
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##### References:
 [1] Zdravkovich, M. M., Flow Around Circular Cylinders: Fundamentals, Vol. 1, (1997), Oxford University Press New York · Zbl 0882.76004 [2] Zdravkovich, M. M., Flow Around Circular Cylinders: Applications, Vol. 2, (2003), Oxford University Press New York · Zbl 0882.76004 [3] Sumer, B. M.; Fredsoe, J., Hydrodynamics Around Cylindrical Structures, (2006), World Scientific Publishing Co. · Zbl 1153.76003 [4] Tropea, C.; Yarin, A. L.; Foss, J. F., Springer Handbook of Experimental Fluid Mechanics, (2007), Sturtz GmbH, Printing and binding [5] Roussopoulos, K., Feedback control of vortex shedding at low Reynolds numbers, J. Fluid Mech., 248, 267-296, (1993) [6] Shu, C.; Liu, N.; Chew, Y. T,, A novel immersed boundary velocity correction-lattice Boltzmann method and its application to simulate flow past a circular cylinder, J. Comput. Phys., 226, 1607-1622, (2007) · Zbl 1173.76395 [7] Sengupta, T. K.; Suman, V. K.; Singh, N., Solving Navier-Stokes equation for flow past cylinders using single-block structured and overset grids, J. Comput. Phys., 229, 178-199, (2010) · Zbl 1381.76202 [8] A. Maurel, P. Petitjeans, Vortex Structure and Dynamics, Lectures of a Workshop Held in Rouen, France, Springer, 1999. · Zbl 0992.76003 [9] Brocchini, M.; Trivellato, F., Vorticity and turbulence effects in fluid structure interaction, (An Application To Hydraulic Structure Design, (2006), WIT press) · Zbl 1124.76001 [10] Drazin, P., Introduction To Hydrodynamic Stability, (2002), Cambridge University Press · Zbl 0997.76001 [11] Newman, J. N., Marine Hydrodynamics, (1999), The MIT Press [12] Rashidi, S.; Hayatdavoodi, M.; Esfahani, J. A., Vortex shedding suppression and wake control: a review, Ocean Eng., 126, 57-80, (2016) [13] Lee, J. H.; Bernitsas, M. M., High-damping, high-Reynolds VIV tests for energy harnessing using the VIVACE converter, Ocean Eng., 38, 1697-1712, (2011) [14] Blevins, R. D., Flow Induced Vibration, (2001), Krieger [15] Paidoussis, M. P., Fluid Structure Interactions, Slender Structures and Axial Flow, (1999), Academic Press [16] Paidoussis, M. P., Fluid Structure Interactions, Slender Structures and Axial Flow, (2004), Elsevier [17] Kaneko, S.; Nakamura, T.; Inada, F.; Kato, M., Flow-Induced Vibrations, Classifications and Lessons from Practical Experiences, (2008), Elsevier [18] Bao, Y.; Palacios, R.; Graham, M.; Sherwin, S., Generalized thick strip modelling for vortex-induced vibration of long flexible cylinders, J. Comput. Phys., 321, 1079-1097, (2016) · Zbl 1349.74168 [19] Nørgaard, S.; Sigmund, O.; Lazarov, B., Topology optimization of unsteady flow problems using the lattice Boltzmann method, J. Comput. Phys., 307, 291-307, (2016) · Zbl 1351.76245 [20] Oruç, V., Passive control of flow structures around a circular cylinder by using screen, J. Fluids Struct., 33, 229-242, (2012) [21] He, J. W.; Glowinski, R.; Metcalfe, R.; Nordlander, A.; Periaux, J., Active control and drag optimization for flow past a circular cylinder: I. scillatory cylinder rotation, J. Comput. Phys., 163, 83-117, (2000) · Zbl 0977.76021 [22] Bergmann, M.; Cordier, L., Optimal control of the cylinder wake in the laminar regime by trust-region methods and POD reduced-order models, J. Comput. Phys., 227, 7813-7840, (2008) · Zbl 1388.76073 [23] Wu, J.; Shu, C.; Zhao, N., Numerical study of flow control via the interaction between a circular cylinder and a flexible plate, J. Fluids Struct., 49, 594-613, (2014) [24] Maiti, D. K.; Bhatt, R., Vortex shedding suppression and aerodynamic characteristics of square cylinder due to offsetting of rectangular cylinders towards a plane, Ocean Eng., 82, 91-104, (2014) [25] Chen, Y. J.; Shao, C. P., Suppression of vortex shedding from a rectangular cylinder at low Reynolds numbers, J. Fluids Struct., 43, 15-27, (2013) [26] Ding, L.; Bernitsas, M. M.; Kim, E. S., 2-D URANS vs. experiments of flow induced motions of two circular cylinders in tandem with passive turbulence control for 30000
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