Two-dimensional floquet stability analysis of the flow produced by an oscillating circular cylinder in quiescent fluid

European Journal of Mechanics, B/Fluids

Volumn 23, Issue 1, 2004, Pages 99-106

  Elston, John R ^a   Sheridan, John ^a   Blackburn, H M ^b  

^a MONASH UNIVERSITY   (Australia)

^b CSIRO   (Australia)

Author keywords

Floquet analysis; Neimark Sacker bifurcation; Oscillating circular cylinder; Symmetry breaking

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; CYLINDERS (CONTAINERS); HARMONIC ANALYSIS; OSCILLATIONS; PERTURBATION TECHNIQUES;

FLOQUET ANALYSIS; NEIMARK-SACKER BIFURCATION; OSCILLATING CIRCULAR CYLINDER; SYMMETRY BREAKING;

FLUID DYNAMICS;

EID: 3042737627     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechflu.2003.05.002     Document Type: Conference Paper

References (14)

1. Honji H. Streaked flow around an oscillating cylinder. J. Fluid Mech. 107:1981;509-520.
2. Williamson C.H.K. Sinusoidal flow relative to circular cylinders. J. Fluid Mech. 155:1985;141-174.
3. Tatsuno M., Bearman P.W. A visual study of the flow around an oscillating circular cylinder at low Keulegan-Carpenter numbers and low Stokes numbers. J. Fluid Mech. 211:1990;157-182.
4. Sarpkaya T. Experiments on the stability of sinusoidal flow over a circular cylinder. J. Fluid Mech. 457:2002;157-180.
5. Iliadis G., Anagnostopoulos P. Viscous oscillatory flow around a circular cylinder at low Keulegan-Carpenter numbers and frequency parameters. Int. J. Numer. Methods Fluids. 26:1998;403-442.
6. Elston J.R., Sheridan J., Blackburn H.M. The transition to three-dimensionality in the flow produced by an oscillating circular cylinder. 14th A/Asian Fluid Mech. Conf. Adelaide. 2001;319-322 Australia.
7. Iooss G., Joseph D.D. Elementary Stability and Bifurcation Theory. 2nd edition :1990;Springer, Berlin.
8. Tuckerman L.S., Barkley D. Bifurcation analysis for timesteppers. Doedel E., Tuckerman L.S. Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems. 2000;453-566 Springer.
9. Barkley D., Henderson R.D. Three-dimensional Floquet stability analysis of the wake of a circular cylinder. J. Fluid Mech. 322:1996;215-241.
10. Blackburn H.M. Three-dimensional instability and state selection in an oscillatory axisymmetric swirling flow. Phys. Fluids. 14:(11):2002;3983-3996.
11. H.M. Blackburn, J.M. Lopez, The onset of three-dimensional standing and modulated travelling waves in a periodically driven cavity flow, J. Fluid Mech., in press.
12. Blackburn H.M., Henderson R.D. A study of two-dimensional flow past an oscillating cylinder. J. Fluid Mech. 385:1999;255-286.
13. Blackburn H.M. Computational bluff body fluid dynamics and aeroelasticity. Barton N.G., Periaux J. Coupling of Fluids, Structures and Waves Problems in Aeronautics. Notes Numer. Fluid Mech. 2003;10-23 Springer.
14. Kuznetsov Y.A. Elements of Applied Bifurcation Theory. 2nd edition :1998;Springer.