Control of vortex-induced motion in multi-column offshore platform by near-wake jets.

*(English)*Zbl 1390.76341Summary: Vortex-induced motion (VIM) poses a serious challenge in many engineering applications such as offshore structures, floating wind turbines, and high rise buildings. In particular, significant aspects of VIM have to be considered in offshore platforms subjected to high currents. The objective of this numerical study is to investigate the VIM suppression of multi-column floating platforms by injecting steady near-wake jets at the wake side of the columns. Before proceeding to the blowing-jet based flow control method, the transverse VIM amplitude of floating platform is validated with the model test data. We perform a systematic investigation of 3D scaled model with and without prescribed jet flows for varying reduced velocity (\(U_{r}\)) at a fixed mass ratio \(m^*=0.83\), the damping ratio \(\zeta=0.01\) and the Reynolds number \(\mathrm{Re}=20,000\). The numerical investigations are carried out for different near-wake jet configurations at reduced velocity \(U_{r}=10\). We assess the response characteristics and flow profile patterns to identify a suitable configuration of blowing jet along the columns. We demonstrate that the semi-submersible with elongated near-wake jet configuration is efficient in suppressing VIM in comparison to other near-wake jet configurations and the uncontrolled no-jet case. The vibration amplitudes, the force coefficients and the flow patterns of semi-submersible with the blowing-based control technique are further examined for various mass flow rate coefficients. From our studies, we observe approximately 30% reduction of forces and the amplitudes for the offshore system with the prescribed jet flow compared to the system without near-wake jets. The optimal \(V_{\mathrm{jet}}/U\) is estimated to be in the range of 2.5–5, for the effective VIM suppression, where \(V_{\mathrm{jet}}\) and \(U\) are the prescribed jet flow speed and the free-stream speed, respectively. To understand the underpinning of VIM suppression mechanism, the vortex dynamics and flow patterns in the near-wake region of a freely vibrating semi-submersible platform with the near-wake jet are explored. For this numerical study, we employ a stabilized finite element formulation with an explicit dynamic subgrid-scale model to simulate the fluid-structure interaction subjected to a turbulent wake flow.

##### MSC:

76M10 | Finite element methods applied to problems in fluid mechanics |

65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |

76D25 | Wakes and jets |

##### Keywords:

steady near-wake jets; flow control; suppression of vortex-induced motion; multicolumn offshore platform##### Software:

Gmsh
PDF
BibTeX
XML
Cite

\textit{K. Narendran} et al., Comput. Fluids 167, 111--128 (2018; Zbl 1390.76341)

Full Text:
DOI

##### References:

[1] | Sharma, R.; Kim, T. W.; Sha, O. P.; Misra, S. C., Issues in offshore platform research-part 1: semi-submersibles, Int J Naval Archit Ocean Eng, 2, 3, 155-170, (2010) |

[2] | Waals, O. J.; Phadke, A. C.; Bultema, S., Flow induced motions on multi column floaters, Proceedings of the ASME 2007 26th international conference on offshore mechanics and arctic engineering, 669-678, (2007), American Society of Mechanical Engineers |

[3] | Rijken, O.; Leverette, S., Field measurements of vortex induced motions of a deep draft semisubmersible, Proceedings of the ASME 2009 28th international conference on ocean, offshore and arctic engineering, 739-746, (2009), American Society of Mechanical Engineers |

[4] | Blevins, R. D., Flow-induced vibration, (1990), Van Nostrand Reinhold Co., Inc. New York |

[5] | Hussain, A.; Nah, E.; Fu, R.; Gupta, A., Motion comparison between a conventional deep draft semi-submersible and a dry tree semi-submersible, Proceedings of the ASME 2009 28th international conference on ocean, offshore and arctic engineering, 785-792, (2009), American Society of Mechanical Engineers |

[6] | Xu, Q., A new semisubmersible design for improved heave motion, vortex-induced motion and quayside stability, Proceedings of the ASME 2011 30th international conference on Ocean, offshore and arctic engineering, 95-103, (2011), American Society of Mechanical Engineers |

[7] | Goncalves, R. T.; Rosetti, G. F.; Fujarra, A. L.C.; Oliveira, A. C., Experimental study on vortex-induced motions of a semi-submersible platform with four square columns, part i: effects of current incidence angle and hull appendages, Ocean Eng, 54, 150-169, (2012) |

[8] | Sakamoto, H.; Haniu, H.; Obata, Y., Fluctuating forces acting on two square prisms in tandem arrangement, JSME Int J Bull JSME, 30, 266, 1347, (1987) |

[9] | Jaiman, R. K.; Pillalamarri, N. R.; Guan, M. Z., A stable second-order partitioned iterative scheme for freely vibrating low-mass bluff bodies in a uniform flow, Comput Methods Appl Mech Eng, 301, 187-215, (2016) · Zbl 1425.74156 |

[10] | Lyn, D. A.; Einav, S.; Rodi, W.; Park, J.-H., A laser-Doppler velocimetry study of ensemble-averaged characteristics of the turbulent near wake of a square cylinder, J Fluid Mech, 304, 285-319, (1995) |

[11] | Zdravkovich, M. M., Review and classification of various aerodynamic and hydrodynamic means for suppressing vortex shedding, J Wind Eng Ind Aerodyn, 7, 145-189, (1981) |

[12] | Gad-el Hak, M., Flow control: passive, active, and reactive flow management, (2007), Cambridge University Press · Zbl 0968.76001 |

[13] | Irani, M.; Finn, L., Improved strake design for vortex induced motions of spar platforms, Proceedings of the ASME 2005 24th international conference on offshore mechanics and arctic engineering, 767-773, (2005), American Society of Mechanical Engineers |

[14] | Roddier, D.; Finnigan, T.; Liapis, S., Influence of the Reynolds number on spar vortex induced motions (VIM): multiple scale model test comparisons, Proceedings of the ASME 2009 28th international conference on ocean, offshore and arctic engineering, 797-806, (2009), American Society of Mechanical Engineers |

[15] | Wang, Y.; Yang, J.; Peng, T.; Li, X., Model test study on vortex-induced motions of a floating cylinder, Proceedings of the ASME 2009 28th international conference on ocean, offshore and arctic engineering, 293-301, (2009), American Society of Mechanical Engineers |

[16] | Wang, Y.; Yang, J.; Peng, T.; Lu, H., Strake design and VIM-suppression study of a cell-truss spar, Proceedings of the ASME 2010 29th international conference on ocean, offshore and arctic engineering, 507-513, (2010), American Society of Mechanical Engineers |

[17] | Anderson, E. A.; Szewczyk, A. A., Effects of a splitter plate on the near wake of a circular cylinder in 2 and 3-dimensional flow configurations, Exp Fluids, 23, 2, 161-174, (1997) |

[18] | Bearman, P. W., Investigation of the flow behind a two-dimensional model with a blunt trailing edge and fitted with splitter plates, J Fluid Mech, 21, 02, 241-255, (1965) · Zbl 0123.21403 |

[19] | Apelt, C. J.; West, G. S., The effects of wake splitter plates on bluff-body flow in the range 10^4 < re < 5 × 10^4. part 2, J Fluid Mech, 71, 01, 145-160, (1975) |

[20] | Zdravkovich, M. M., Flow around circular cylinders: applications, 2, (2003), Oxford University Press · Zbl 0882.76004 |

[21] | Zhu, H.; Yao, J., Numerical evaluation of passive control of VIV by small control rods, Appl Ocean Res, 51, 93-116, (2015) |

[22] | Baek, H.; Karniadakis, G. E., Suppressing vortex-induced vibrations via passive means, J Fluids Struct, 25, 5, 848-866, (2009) |

[23] | Mittal, S.; Raghuvanshi, A., Control of vortex shedding behind circular cylinder for flows at low Reynolds numbers, Int J Numer Methods Fluids, 35, 4, 421-447, (2001) · Zbl 1013.76049 |

[24] | Mittal, S., Control of flow past bluff bodies using rotating control cylinders, J Fluids Struct, 15, 2, 291-326, (2001) |

[25] | Ray, S.; Tezduyar, S. E.; Mittal, T. E.; Shih, R., Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements, Comput Methods Appl Mech Eng, 95, 2, 221-242, (1992) · Zbl 0756.76048 |

[26] | Hughes, T. J.R.; Brooks, A., A multidimensional upwind scheme with no crosswind diffusion, Finite element methods for convection dominated flows, AMD 34, 19-35, (1979), (ASME New York) · Zbl 0423.76067 |

[27] | Hughes, T. J.R.; Tezduyar, T. E., Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations, Comput Methods Appl Mech Eng, 45, 1-3, 217-284, (1984) · Zbl 0542.76093 |

[28] | Fransson, J. H.M.; Konieczny, P.; Alfredsson, P. H., Flow around a porous cylinder subject to continuous suction or blowing, J Fluids Struct, 19, 8, 1031-1048, (2004) |

[29] | Dong, S.; Triantafyllou, G. S.; Karniadakis, G. E., Elimination of vortex streets in bluff-body flows, Phys Rev Lett, 100, 20, 204501, (2008) |

[30] | Fujisawa, N.; Takeda, G., Flow control around a circular cylinder by internal acoustic excitation, J Fluids Struct, 17, 7, 903-913, (2003) |

[31] | Liu, Y. G.; Feng, L. H., Suppression of lift fluctuations on a circular cylinder by inducing the symmetric vortex shedding mode, J Fluids Struct, 54, 743-759, (2015) |

[32] | Çuhadaroğlu, B.; Akansu, Y. E.; Turhal, A., An experimental study on the effects of uniform injection through one perforated surface of a square cylinder on some aerodynamic parameters, Exp Therm Fluid Sci, 31, 8, 909-915, (2007) |

[33] | Whiteman, J. T., Active flow control schemes for bluff body drag reduction, (2016), The Ohio State University, Ph.D. thesis |

[34] | Ali, M. S.M.; Doolan, C. J.; Wheatley, V., Low Reynolds number flow over a square cylinder with a splitter plate, Phys Fluids, 23, 3, 033602, (2011) |

[35] | Choi, H.; Jeon, W. P.; Kim, J., Control of flow over a bluff body, Annul Rev Fluid Mech, 40, 113-139, (2008) · Zbl 1136.76022 |

[36] | Saha, A. K.; Shrivastava, A., Suppression of vortex shedding around a square cylinder using blowing, Sadhana, 40, 3, 769-785, (2015) · Zbl 1322.76035 |

[37] | Akansu, Y. E.; Firat, E., Control of flow around a square prism by slot jet injection from the rear surface, Exp Therm Fluid Sci, 34, 7, 906-914, (2010) |

[38] | Sterenborg, J.; Koop, A.; Wilde, J.d.; Vinayan, V.; Antony, A.; Halkyard, J., Model test investigation of the influence of damping on the vortex induced motions of deep draft semi-submersibles using a novel active damping device, Proceedings of the ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering, (2016), American Society of Mechanical Engineers |

[39] | Jaiman, R. K.; Guan, M. Z.; Miyanawala, T. P., Partitioned iterative and dynamic subgrid-scale methods for freely vibrating square-section structures at subcritical Reynolds number, Comput Fluids, 133, 68-89, (2016) · Zbl 1390.76056 |

[40] | Hughes, T. J.R.; Liu, W. K.; Zimmermann, T. K., Lagrangian-Eulerian finite element formulation for incompressible viscous flows, Comput Methods Appl Mech Eng, 29, 3, 329-349, (1981) · Zbl 0482.76039 |

[41] | Donea, J; Giuliani, S; Halleux, JP, An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions, Comput. Methods Appl. Mech. Eng., 33, 1-3, 689-723, (1982) · Zbl 0508.73063 |

[42] | Kuhl, E.; Askes, H.; Steinmann, P., An ALE formulation based on spatial and material settings of continuum mechanics. part 1: generic hyperelastic formulation, Comput Methods Appl Mech Eng, 193, 39, 4207-4222, (2004) · Zbl 1068.74078 |

[43] | Tobiska, L., Numerical solution of partial differential equations by the finite element method., ZAMM-J Appl Math Mech/Zeitschrift für Angewandte Mathematik und Mechanik, 71, 10, 390, (1991) |

[44] | Sagaut, P., Large eddy simulation for incompressible flows: an introduction, (2006), Springer Science & Business Media · Zbl 1091.76001 |

[45] | Gatski, T. B.; Speziale, C. G., On explicit algebraic stress models for complex turbulent flows, J Fluid Mech, 254, 59-78, (1993) · Zbl 0781.76052 |

[46] | Wang, B. C.; Bergstrom, D. J., A dynamic nonlinear subgrid-scale stress model, Phys Fluids, 17, 3, 035109, (2005) · Zbl 1187.76544 |

[47] | Smagorinsky, J., General circulation experiments with the primitive equations: i. the basic experiment, Mon Weather Rev, 91, 3, 99-164, (1963) |

[48] | Germano, M.; Piomelli, U.; Moin, P.; Cabot, W. H., A dynamic subgrid-scale eddy viscosity model, Phys Fluids A: Fluid Dyn, 3, 7, 1760-1765, (1991) · Zbl 0825.76334 |

[49] | Balaras, E.; Benocci, C.; Piomelli, U., Two-layer approximate boundary conditions for large-eddy simulations, AIAA J, 34, 6, 1111-1119, (1996) · Zbl 0900.76319 |

[50] | Piomelli, U.; Balaras, E., Wall-layer models for large-eddy simulations, Annu Rev Fluid Mech, 34, 1, 349-374, (2002) · Zbl 1006.76041 |

[51] | Mysa, R. C.; Kaboudian, A.; Jaiman, R. K., On the origin of wake-induced vibration in two tandem circular cylinders at low Reynolds number, J Fluids Struct, 61, 76-98, (2016) |

[52] | Law, Y. Z.; Jaiman, R. K., Wake stabilization mechanism of low-drag suppression devices for vortex-induced vibration, J Fluids Struct, 70, 428-449, (2017) |

[53] | Miyanawala, T. P.; Jaiman, R. K., Self-sustaining turbulent wake characteristics in fluid-structure interaction of a square cylinder, J Fluids Struct, 77, 80-101, (2018) |

[54] | Geuzaine, C.; Remacle, J.-F., Gmsh: a 3-d finite element mesh generator with built-in pre-and post-processing facilities, Int J Numer Methods Eng, 79, 11, 1309-1331, (2009) · Zbl 1176.74181 |

[55] | Rijken, O.; Leverette, S., Experimental study into vortex induced motion response of semi submersibles with square columns, Proceedings of the 27th international conference on offshore mechanics and arctic engineering, (2008) |

[56] | Magee, A.; Sheikh, R.; Guan, K. Y.H.; Choo, J. T.H.; Malik, A. M.A.; Ghani, M. P.A., Model tests for VIM of multi-column floating platforms, Proceedings of the ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering, 127-136, (2011), American Society of Mechanical Engineers |

[57] | Miyanawala, T. P.; Guan, M. Z.; Jaiman, R. K., Flow-induced vibrations of a square cylinder with combined translational and rotational oscillations, Proceedings of the ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering, (2016), American Society of Mechanical Engineers · Zbl 1390.76056 |

[58] | Guan, M. Z., A computational study of flow-induced vibration of multi-column structures Master’s thesis, (2016), National University of Singapore |

[59] | Bearman, P. W.; Gartshore, I. S.; Maull, D. J.; Parkinson, G. V., Experiments on flow-induced vibration of a square-section cylinder, J Fluids Struct, 1, 1, 19-34, (1987) |

[60] | Nemes, A.; Zhao, J.; Jacono, D. L.; Sheridan, J., The interaction between flow-induced vibration mechanisms of a square cylinder with varying angles of attack, J Fluid Mech, 710, 102-130, (2012) · Zbl 1275.76021 |

[61] | Guan, M. Z.; Narendran, K.; Miyanawala, T. P.; Ma, P. F.; Jaiman, R. K., Control of flow-induced motion in multi-column offshore platform by near-wake jets, Proceedings of the ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering, (2017), American Society of Mechanical Engineers |

[62] | Feng, L.-H.; Wang, J.-J., Synthetic jet control of separation in the flow over a circular cylinder, Exp Fluids, 53, 2, 467-480, (2012) |

[63] | Hunt JCR., Wray AA., Moin P. Eddies, streams, and convergence zones in turbulent flows. Technical report, Center for Turbulence Research Report, 1988. |

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.