Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-23T00:35:21.357Z Has data issue: false hasContentIssue false

Numerial Study of Vortex-Induced Vibration of Circular Cylinder Adjacent to Plane Boundary Using Direct-Forcing Immersed Boundary Method

Published online by Cambridge University Press:  24 July 2017

M. J. Chern*
Affiliation:
Department of Mechanical EngineeringNational Taiwan University of Science and TechnologyTaipei, Taiwan
G. T. Lu
Affiliation:
Department of Mechanical EngineeringNational Taiwan University of Science and TechnologyTaipei, Taiwan
Y. H. Kuan
Affiliation:
Department of Mechanical EngineeringNational Taiwan University of Science and TechnologyTaipei, Taiwan
S. Chakraborty
Affiliation:
Department of Mechanical EngineeringNational Taiwan University of Science and TechnologyTaipei, Taiwan
G. Nugroho
Affiliation:
Department of Mechanical EngineeringInstitute Teknologi Sepuluh NopemberSurabaya, Indonesia
C. B. Liao
Affiliation:
Department of Water Resources Engineering and ConservationFeng Chia UniversityTaichung, Taiwan
T. L. Horng
Affiliation:
Department of Applied MathematicsFeng Chia UniversityTaichung, Taiwan
*
*Corresponding author ([email protected])
Get access

Abstract

Vortex-induced vibration (VIV) is an important physical phenomenon as one design a riser or a cylindrical structure in ocean. As the riser or the cylindrical structure is adjacent to a seabed, the boundary effect on VIV is not fully understood yet. The direct-forcing immersed boundary (DFIB) method is used to investigate a two-degree-of-freedom VIV of a flexible supported circular cylinder adjacent to a plane boundary in this study. Furthermore, the effect of the VIV of cylinder on skin friction of the plane boundary is investigated. The effects of varying reduced velocity and gap ratio on VIV are discussed. Only a single vortex street is found when the cylinder is close to plane boundary. Hydrodynamic coefficients of the freely vibrating cylinder are analyzed in time and spectral domains. Furthermore, nearly round oval-shaped motion is observed as the so-called lock-in phenomenon occurs. The skin friction of the plane boundary is predicted by the DFIB model. Results show that the vibrating cylinder in the boundary layer flow can reduce the friction effectively. This proposed DFIB model can be useful for the investigation of VIV of the structures under the plane boundary effect even for a small gap between the cylinder and the boundary.

Type
Research Article
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2018 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Gad-el-Hak, M., Flow Control: Passive, Active, and Reactive Flow Management, Cambridge University Press, Cambridge (2000).CrossRefGoogle Scholar
2. Strykowski, P. J. and Sreenivasan, K. R., “On the Formation and Suppression of Vortex Shedding at Low Reynolds Numbers,” Journal of Fluid Mechanics, 218, pp. 71107 (1990).Google Scholar
3. Igarashi, T., “Drag Reduction of a Square Prism by Flow Control Using a Small Rod,” Journal of Wind Engineering and Industrial Aerodynamics, 69-71, pp. 141153 (1997).Google Scholar
4. Huang, R. F. and Mao, S. W., “Separation Control on a Cantilever Wing with a Self-Excited Vibrating Rod,” Journal of Aircraft, 39, pp. 609615 (2002).Google Scholar
5. Yang, B., Gao, F., Jeng, D. S. and Wu, Y., “Experimental Study of Vortex-Induced Vibrations of a Cylinder Near a Rigid Plane Boundary in Steady Flow,” Acta Mechanica Sinica, 25, pp. 5163 (2009).Google Scholar
6. Singh, S. P. and Mittal, S., “Vortex-Induced Oscillations at Low Reynolds Numbers: Hysteresis and Vortex-Shedding Modes,” Journal of Fluids and Structures, 20, pp. 10851104 (2005).Google Scholar
7. Dettmer, W. and Perić, D., “A Computational Framework for Fluid Rigid Body Interaction: Finite Element Formulation and Applications,” Computer Methods in Applied Mechanics and Engineering, 195, pp. 16331666 (2006).Google Scholar
8. Du, L., Jing, X. and Sun, X., “Modes of Vortex Formation and Transition to Three Dimensionality in the Wake of a Freely Vibrating Cylinder,” Journal of Fluids and Structures, 49, pp. 554573 (2014).Google Scholar
9. Chern, M. J., Kuan, Y. H., Nugroho, G., Lu, G. T. and Horng, T. L., “Direct-Forcing Immersed Boundary Modeling of Vortex-Induced Vibration of a Circular Cylinder,” Journal of Wind Engineering & Industrial Aerodynamics, 134, pp. 109121 (2014).Google Scholar
10. Zhao, M. and Cheng, L., “Numerical Simulation of Two-Degree-of-Freedom Vortex-Induced Vibration of a Circular Cylinder Adjacent to a Plane Boundary,” Journal of Fluids and Structures, 27, pp. 10971110 (2011).Google Scholar
11. Sotiropoulos, F. and Yang, X., “Immersed Boundary Methods for Simulating Fluid-Structure Interaction,” Journal of Computational Physics, 65, pp. 121 (2014).Google Scholar
12. Yang, J. and Stern, F., “A Simple and Efficient Direct-Forcing Immersed Boundary Framework for Fluid-Structure Interactions,” Journal of Computational Physics, 231, pp. 50295061 (2012).Google Scholar
13. Mohd, . Yusof, J., “Interaction of Massive Particles with Turbulence,” Ph.D. Dissertation, Cornell University, U.S.A. (1996).Google Scholar
14. Noor, D. Z., Chern, M. J. and Horng, T. L., “An Immersed Boundary Method to Solve Fluid-Solid Interaction Problems,” Computational Mechanics, 44, pp. 447453 (2009).Google Scholar
15. Chern, M. J., Shiu, W. C. and Horng, T. L., “Immersed Boundary Modeling for Interaction of Oscillatory Flow with Cylinder Array under Effects of Flow Direction and Cylinder Arrangement,” Journal of Fluids and Structures, 43, pp. 325346 (2013).Google Scholar
16. Uhlmann, M., “An Immersed Boundary Method with Direct Forcing for the Simulation of Particulate Flows,” Journal of Computational Physics, 209, pp. 448476 (2005).Google Scholar
17. Kempe, T. and Fröhlich, J., “An Improved Immersed Boundary Method with Direct Forcing for the Simulation of Particle Laden Flows,” Journal of Computational Physics, 231, pp. 36633684 (2012).Google Scholar
18. Wang, S. and Zhang, X., “An Immersed Boundary Method Based on Discrete Stream Function Formulation for Two- and Three-Dimensional Incompressible Flows,” Journal of Computational Physics, 230, pp. 34793499 (2011).Google Scholar
19. Deng, J., Shao, X. M. and Ren, A. L., “A New Modification of the Immersed-Boundary Method for Simulating Flows with Complex Moving Boundaries,” International Journal for Numerical Methods in Fluids, 52, pp. 11951213 (2006).Google Scholar
20. Peskin, C. S., “Flow Patterns around Heart Valves: A Numerical Method,” Journal of Computational Physics, 10, pp. 252271 (1972).Google Scholar
21. Leonard, B. P., “A Stable and Accurate Convective Modelling Procedure Based on Quadratic Upstream Interpolation,” Computer Methods in Applied Mechanics and Engineering, 19, pp. 5998 (1979).Google Scholar
22. Hirt, C., Nickols, B. and Romero, N., “A Numerical Solution Algorithm for Transient Fluid LA-5852,” Los Alamos Scientific Laboratory, Los Alamos, New Mexico, U.S.A. (1975).Google Scholar
23. Leontini, J. S., Thompson, M. C. and Hourigan, K., “The Beginning of Branching Behavior of Vortex-Induced Vibration during Two-Dimensional Flow,” Journal of Fluids and Structures, 22, pp. 857864 (2006).Google Scholar
24. Bearman, P. W. and Zdravkovich, M. M., “Flow around a Circular Cylinder Near a Plane Boundary,” Journal of Fluid Mechanics, 109, pp. 3348 (1978).Google Scholar
25. Lei, C., Cheng, L. and Kavanagh, K.Re-Examination of Effect of a Plane Boundary on Forces and Vortex Shedding of a Circular Cylinder,” Journal of Wind Engineering and Industrial Aerodynamics, 80, pp. 263286 (1999).Google Scholar
26. Williamson, C. H. K. and Roshko, A., “Vortex Formation in the Wake of an Oscillating Cylinder,” Journal of Fluids and Structures, 2, pp. 355381 (1988).CrossRefGoogle Scholar
27. Tsahalis, D. T., “Vortex-Induced Vibrations of a Flexible Cylinder Near a Plane Boundary Exposed to Steady and Wave-Induced Currents,” Journal of Energy Resources Technology, 106, pp. 206213 (1984).Google Scholar