A van der Pol-Duffing oscillator model of hydrodynamic forces on canonical structures

Journal of Computational and Nonlinear Dynamics

Volumn 4, Issue 4, 2009, Pages 1-9

  Akhtar, Imran ^a   Marzouk, Osama A ^b   Nayfeh, Ali H ^b  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b Virginia Polytechnic Institute and State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CANONICAL STRUCTURE; ELLIPTIC CYLINDER; HYDRODYNAMIC FORCES; LIFT AND DRAG; LIFT COEFFICIENT; NUMERICAL RESULTS; NUMERICAL SIMULATION; OSCILLATOR MODEL; REDUCED ORDER MODELS; SPECTRAL DOMAINS; TIME DOMAIN; VAN DER POL-DUFFING OSCILLATORS;

COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; CYLINDERS (SHAPES); DRAG COEFFICIENT; LIFT; NUMERICAL ANALYSIS; OSCILLATING CYLINDERS; PARALLEL FLOW;

DRAG;

EID: 77951465539     PISSN: 15551415     EISSN: 15551423     Source Type: Journal    
DOI: 10.1115/1.3192127     Document Type: Article

References (26)

1. Roshko, A., 1955, "On the Wake and Drag Of Bluff Bodies," J. Aero. Sci., 22(2), pp. 124-132.
2. Bishop, R., and Hassan, A., 1964, "The Lift and Drag Forces on a Circular Cylinder in Flowing Fluid," Proc. R. Soc. London, Ser. A, 277, pp. 32-50.
3. Karniadakis, G. E., and Triantafyllou, G. S., 1992, "Three-Dimensional Dynamics and Transition to Turbulence in the Wake of Bluff Objects," J. Fluid Mech., 238, pp. 1-30.
4. Roshko, A., 1954, "On the Development of Turbulent Wakes From Vortex Streets," NACA Report No. 1191.
5. Tomboulides, A. G., Israeli, M., and Karniadakis, G. E., 1989, "Efficient Removal of Boundary Divergence Errors in Time-Splitting Methods," J. Sci. Comput., 4(3), pp. 291-308.
6. Williamson, C. H. K., 1996, "Vortex Dynamics in the Cylinder Wake," Annu. Rev. Fluid Mech., 28, pp. 477-539.
7. Wu, J., Sheridan, J., and Welsh, M. C., 1994, "An Experimental Investigation of the Streamwise Vortices in the Wake of a Bluff Body," J. Fluids Struct., 8, pp. 621-635.
8. Hartlen, R., and Currie, I., 1970, "Lift-Oscillator Model of Vortex-Induced Vibration," J. Engrg. Mech. Div., 96, pp. 577-591.
9. Currie, I., and Turnball, D., 1987, "Streamwise Oscillations of Cylinders Near the Critical Reynolds Number," J. Fluids Struct., 1(2), pp. 185-196.
10. Skop, R., and Griffin, O., 1973, "A Model for the Vortex-Excited Resonant Response of Bluff Cylinders," J. Sound Vib., 27(2), pp. 225-233.
11. Iwan, W., and Blevins, R., 1974, "A Model for Vortex-Induced Oscillation of Structures," ASME J. Appl. Mech., 41(3), pp. 581-586.
12. Landl, R., 1975, "A Mathematical Model for Vortex-Excited Vibration of Cable Suspensions," J. Sound Vib., 42(2), pp. 219-234.
13. Evangelinos, C., Lucor, D., and Karniadakis, G. E., 2000, "DNS-Derived Force Distribution on Flexible Cylinders Subject to Vortex-Induced Vibrations," J. Fluids Struct., 14, pp. 429-440.
14. Skop, R. A., and Balasubramanian, S., 1997, "A New Twist on an Old Model for Vortex-Excited Vibrations," J. Fluids Struct., 11(4), pp. 395-412.
15. Norberg, C., 2003, "Fluctuating Lift on a Cylinder: Review and New Measurements," J. Fluids Struct., 17, pp. 57-96.
16. Williamson, C. H. K., and Govardhan, R., 2004, "Vortex-Induced Vibrations," Annu. Rev. Fluid Mech., 36, pp. 413-455.
17. Gabbai, R. D., and Benaroya, H., 2005, "An Overview of Modeling and Experiments of Vortex-Induced Vibration of Circular Cylinder," J. Sound Vib., 282, pp. 575-616.
18. Kim, J., and Moin, P., 1985, "Application of a Fractional-Step Method to Incompressible Navier-Stokes," J. Comput. Phys., 59, pp. 308-323.
19. Zang, Y., Street, R., and Koseff, J., 1994, "A Non-Staggered Grid, Fractional Step Method for Time-Dependent Incompressible Navier-Stokes Equations in Curvilinear Coordinates," J. Comput. Phys., 114, pp. 18-33.
20. Akhtar, I., 2008, "Parallel Simulations, Reduced-Order Modeling, and Feedback Control of Vortex Shedding Using Fluidic Actuators," Ph.D. thesis, Virginia Tech, Blacksburg, VA.
21. Akhtar, I., Nayfeh, A. H., and Ribbens, C. J., 2009, "On the Stability and Extension of Reduced-Order Galerkin Models in Incompressible Flows: A Numerical Study of Vortex Shedding," Theor. Comput. Fluid Dyn., 23(3), pp. 213-237.
22. Mittal, R., and Balachandar, S., 1995, "Effect of Three-Dimensionality on the Lift and Drag of Nominally Two-Dimensional Cylinders," Phys. Fluids, 7(8), pp. 1841-1865.
23. Marzouk, O. A., Nayfeh, A. H., Arafat, H. N., and Akhtar, I., 2007, "Modeling Steadystate and Transient Forces on a Cylinder," J. Vib. Control, 13(7), pp. 1065-1091.
24. Nayfeh, A. H., Owis, F., and Hajj, M. R., 2003, "A Model for the Coupled Lift and Drag on a Circular Cylinder," ASME Paper No. DETC2003-VIB48455.
25. Nayfeh, A. H., Marzouk, O. A., Haider, H. N., and Akhtar, I., 2005, "Modeling the Transient and Steady-State Flow Over a Stationary Cylinder," ASME Paper No. DETC2005-86376.
26. Qin, L., 2004, "Development of Reduced-Order Models for Lift and Drag on Oscillating Cylinders With Higher-Order Spectral Moments," Ph.D. thesis, Virginia Tech, Blacksburg, VA.