Hostname: page-component-6d856f89d9-26vmc Total loading time: 0 Render date: 2024-07-16T08:46:58.872Z Has data issue: false hasContentIssue false
  • English
  • Français

A Finite Element Analysis of Flow Around a Square Cylinder with Cross Flow Oscillations at two Angles of Attack

Published online by Cambridge University Press:  01 May 2013

H. Naderan  and
M.R.H. Nobari
H. Naderan
Affiliation:
Department of Mechanical Engineering, AmirKabir University of Technology, Tehran, Iran
M.R.H. Nobari*
Affiliation:
Department of Mechanical Engineering, AmirKabir University of Technology, Tehran, Iran
*
*Corresponding author (mrnobari@aut.ac.ir)
Get access

Abstract

In this article a two dimensional incompressible viscous flow past a square cylinder oscillating in cross flow with zero and 45 degree angles of attack is numerically studied by a Characteristics Based Splitter (CBS) finite element method. The solver is coupled to a mesh movement scheme using the Arbitrary Lagrangian-Eulerian (ALE) formulation to account for the body motion in the flow field. First, the accuracy of the numerical code is tested by comparing the numerical results obtained for the flow over the stationary square cylinder at the three different Reynolds numbers (Re = 100, 200, and 300) with the experimental data available. Then, the numerical results for the square cylinder undergoing transverse oscillations in the two angles of attack at different values of frequency and amplitude are investigated to determine the lock-on region. The results indicate physical similarity between circular and square cylinders concerning lock-on regions. Also the effect of lock-on phenomenon on the flow field pattern and time-averaged drag coefficient is investigated.

Keywords

Square cylinderTransverse oscillationNavier stokesFinite elementALE
Type
Articles
Information
Journal of Mechanics , Volume 29 , Issue 3 , September 2013 , pp. 539 - 550
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013 

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

REFERENCES

1.Sohankar, A., Norberg, C. and Davidson, L., “Simulation of Three Dimensional Flow around a Square Cylinder at Moderate Reynolds Numbers,” Physics of Fluids, 11, pp. 288–306 (1999).Google Scholar
2.Saha, A. K., Muralidhar, K. and Biswas, G., “Transition and Chaos in Two-Dimensional Flow Past a Square Cylinder,” Journal of Engineering Mechanics, ASCE, 126, pp. 523–532 (2000).Google Scholar
3.Jackson, C. P., “A Finite-Element Study of the On-set of Vortex Shedding in Flow Past Variously Shaped Bodies,” Journal of Fluid Mechanics, 182, pp. 23–45 (1987).Google Scholar
4.Schumm, M., Berger, E. and Monkewitz, P. A., “Self-Excited Oscillations in th Wake of Two-Dimensional Bluff Bodies and Their Control,” Journal of Fluid Mechanics, 271, pp. 17–53 (1994).CrossRefGoogle Scholar
5.Provansal, M., Mathis, C. and Boyer, L., “Benard-von Karman Instability: Transient and Forced Regimes,” Journal of Fluid Mechanics, 182, pp. 1–22 (1987).Google Scholar
6.Sohankar, A., Norberg, C. and Davidson, L., “Numerical Simulation Past a Square Cylinder,” FEDSME, ASME, pp. 99–7172 (1999).Google Scholar
7.Robichaux, J., Balachandar, S. and Vanka, S. P., “Three-Dimensional Floquet Instability of the Wake of Square Cylinder,” Physics of Fluids, 11, pp. 560–578 (1999).Google Scholar
8.Batcho, P. and Karniadakis, G. E., “Chaotic Transport in Two- and Three-Dimensional flow past a cylinder,” Physics of Fluids A, 3, pp. 1051–1062 (1991).CrossRefGoogle Scholar
9.Saha, A. K., Biswas, G. and Muralidhar, K., “Influence of Inlet Shear on Structure of Wake Behind a Square Cylinder,” Journal of Engineering Mechanics, ASCE, 125, pp. 359–363 (1999).Google Scholar
10.Dalton, C. and Zheng, W., “Numerical Solutions of a Viscous Uniform Approach Flow Past Square and Diamond Cylinders,” Journal of Fluids and Structures, 18, pp. 455–465 (2003).CrossRefGoogle Scholar
11.Bearman, P. W. and Obasaju, E. D., “An Experimental Study of Pressure Fluctuations on Fixed and Oscillating Square-Section Cylinders,” Journal of Fluid Mechanics, 119, pp. 297–321 (1982).CrossRefGoogle Scholar
12.Nakamura, Y. and Mizota, T., “Unsteady Lifts and Wakes of Oscillating Rectangular Prisms,” Journal of Engineering Mechanics, ASCE, 101, pp. 855–871 (1975).Google Scholar
13.Normura, T., Suzuki, Y., Uemura, M. and Kobayashi, N., “Aerodynamic Forces on a Square Cylin-der in Oscillating Flow with Mean Velocity,” Journal of Wind Engineering and Industrial Aerodynamics, 91, pp. 199–208 (2003).CrossRefGoogle Scholar
14.Murakami, S., Mochida, A. and Sakamoto, S., “CFD Analysis of Wind-Structure Interaction for Oscillat-ing Square Cylinders,” Journal of Wind Engineering and Industrial Aerodynamics, 72, pp. 33–46 (1997).CrossRefGoogle Scholar
15.Taylor, I. and Vezza, M., “Calculation of the flow field around a square Section Cylinder Undergoing Forced Transverse Oscillations Using a Discrete Vortex Method,” Journal of Wind Engineering and Industrial Aerodynamics, 82, pp. 271–291 (1999).Google Scholar
16.Minewitsch, S., Franke, R. and Rodi, W., “Numerical Investigation of Laminar Vortex-Shedding Flow Past a Square Cylinder Oscillating in Line with the Mean Flow,” Journal of Fluids Structures, 8, pp. 787–802 (1994).Google Scholar
17.Zienkiewicz, O. C. and Taylor, R. L., The Finite Element Method, vol. 3, Fluid Mechanics, 5th Edition, Butterworth-Heinemann, Oxford (2000).Google Scholar
18.Zienkiewicz, O. C. and Codina, R., “A General Algorithm for Compressible and Incompressible Flow-Part I. The Split Characteristic Based Scheme,” International Journal for Numerical Methods in Fluids, 20, pp. 869–885 (1996).CrossRefGoogle Scholar
19.Sarrate, J., Huerta, A. and Donea, J., “Arbitrary Lagrangian-Eulerian Formulation for Fluid-Multi Rigid Bodies Interaction Problems,” Computational Mechanics New Trends and Applications, Idelsohn, S., Onate, E. and Dvorkin, E., Editions, CIMNE, Barcelona, Spain (1998).Google Scholar
20.Koobus, B. and Farhat, C., “Second-Order Time-Accurate and Geometrically Conservative Implicit Schemes for Flow Computations on Unstructured Dynamic Meshes,” Computer Methods in Applied Mechanics and Engineering, 170, pp. 103–129 (1999).Google Scholar
21.Farhat, C., Degand, C., Koobus, B. and Lesoinne, M., “Torsional Springs for Two-Dimensional Dynamic Unstructured Fluid Meshes,” Computer Methods in Applied Mechanics and Engineering, 163, pp. 231–245 (1998).Google Scholar
22.Löhner, R. and Yang, C., “Improved ALE Mesh Velocities for Moving Boundaries,” Communications in Numerical Methods in Engineering, 12, pp. 599–608 (1996).Google Scholar
23.Robertson, I. and Sherwin, S., “Free Surface Flow Simulation Using hp/Spectral Elements,” Journal of Computational Physics, 155, pp. 26–53 (1999).Google Scholar
24.Helenbrook, B. T., “Mesh Deformation Using the Biharmonic Operator,” International Journal for Numerical Methods in Engineering, 1, pp. 1–30 (2001).Google Scholar
25.Batina, J., “Unsteady Euler Algorithm with Unstructured Dynamic Mesh for Complex-Aircraft Aerodynamic Analysis,” AIAA Journal, 29, pp. 327–333 (1991).Google Scholar
26.Koopman, G. H., “The Vortex Wakes of Vibrating Cylinders at Low Reynolds Numbers,” Journal of Fluid Mechanics, 28, pp. 501–512 (1967).Google Scholar
27.Barbi, C., Favier, D. P., Maresca, C. A. and Telionis, D. P., “Vortex Shedding and Lock-On of a Circular Cylinder in Oscillatory Flow,” Journal of Fluid Mechanics, 170, pp. 527–44 (1986).Google Scholar
28.Yi, D. and Okajima, A., “Aerodynamic Forces Acting on an Oscillating Rectangular Cylinder and the Aeroelastic Instabilities at Moderate Reynolds Numbers,” JSME International Journal, Series B, 39, p. 343 (1996).Google Scholar