Vortex suppression and drag reduction in the wake of counter-rotating cylinders

Journal of Fluid Mechanics

Volumn 679, Issue , 2011, Pages 343-382

  Chan, Andre S ^a,b,d   Dewey, Peter A ^c   Jameson, Antony ^a   Liang, Chunlei ^a,b,e   Smits, Alexander J ^c  

^a Department of Aeronautics and Astronautics Department of Mechanical Engineering and Industrial for Computational and Mathematical Engineering   (United States)

^b Stanford University   (United States)

^c Princeton University   (United States)

^d SAN JOSE RESEARCH CENTER   (United States)

^e The George Washington University   (United States)

Author keywords

drag reduction; instability control; vortex interactions

Indexed keywords

DRAG REDUCTION; REYNOLDS NUMBER; VORTEX FLOW; WAKES;

COUNTER ROTATING CYLINDERS; CYLINDER DIAMETERS; DIRECTION OF ROTATION; DOUBLET-LIKE CONFIGURATION; INSTABILITY CONTROL; ROTATING CYLINDERS; VORTEX INTERACTIONS; VORTEX SUPPRESSION;

CYLINDERS (SHAPES);

CYLINDER; DRAG; EXPERIMENTAL STUDY; FLOW CONTROL; FLOW STABILITY; NUMERICAL METHOD; UNSTEADY FLOW; VORTEX FLOW; WAKE;

EID: 80052180206     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2011.134     Document Type: Article

References (48)

1. Belov, A., Martinelli, L. & Jameson, A. 1995 A new implicit algorithm with multigrid for unsteady incompressible flow calculations. AIAA Paper 1995-0049, 33rd Aerospace Sciences Meeting and Exhibit, 9-12 January 1995, Reno, NV.
2. Braza, M., Chassaing, P. & Ha Minh, H. 1986 Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder. J. Fluid Mech. 165, 79-130. (Pubitemid 16550149)
3. Chan, A. S. & Jameson, A. 2010 Suppression of the unsteady vortex wakes of a circular cylinder pair by a doublet-like counter-rotation. Intl J. Numer. Meth. Fluids 63, 22-39.
4. Cockburn, B., Hou, S. & Shu, C. W. 1990 TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. Part IV: The multidimensional case. Math. Comput. 54, 545-581.
5. Cockburn, B., Lin, S. Y. & Shu, C. W. 1989 TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. Part III: One-dimensional systems. J. Comput. Phys. 84, 90-113.
6. Cockburn, B. & Shu, C. W. 1989 TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. Part II: General framework. Math. Comput. 52, 411-435.
7. Cockburn, B. & Shu, C. W. 1998 TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. Part V: Multidimensional system. J. Comput. Phys. 141, 199-224. (Pubitemid 128344796)
8. Ding, H., Shu, C., Yeo, K. S. & Xu, D. 2007 Numerical simulation of flows around two circular cylinders by mesh-free least square-based finite difference methods. Intl J. Numer. Meth. Fluids 53, 305-332. (Pubitemid 46029268)
9. Harten, A. & Hyman, J. M. 1983 Self-adjusting grid methods for one-dimensional hyperbolic conservation laws. J. Comput. Phys. 50, 235-269.
10. Henderson, R. D. 1994 Unstructured spectral element methods: Parallel algorithms and simulations. PhD thesis, Princeton University.
11. Henderson, R. D. 1995 Details of the drag curve near the onset of vortex shedding. Phys. Fluids 7, 2102-2104.
12. Hesthaven, J. S. & Warburton, T. 2008 Nodal Discontinuous Galerkin Methods-Algorithms, Analysis, and Applications. Springer.
13. Huynh, H. T. 2007 A flux reconstruction approach to high-order schemes including discontinuous Galerkin methods. AIAA Paper 2007-4079, 18th AIAA CFD Conference, 25-28 June 2007, Miami, FL.
14. Jameson, A. 2010 A proof of the stability of the spectral difference method for all orders of accuracy. J. Sci. Comput. 45, 348-358
15. Jiménez, J. M. 2002 Low Reynolds number studies in the wake of a submarine model using particle image velocimetry. MSE thesis, Princeton University.
16. Kang, S. 2003 Characteristics of flow over two circular cylinders in a side-by-side arrangement at low Reynolds numbers. Phys. Fluids 15, 2486-2498. (Pubitemid 37207841)
17. Kang, S., Choi, H. & Lee, S. 1999 Laminar flow past a rotating circular cylinder. Phys. Fluids 11, 3312-3321. (Pubitemid 129504467)
18. Kim, H. J. & Durbin, P. A. 1988 Investigation of the flow between a pair of circular cylinders in the flopping regime. J. Fluid Mech. 196, 431-448.
19. Kopriva, D. A. & Kolias, J. H. 1996 A conservative staggered-grid Chebyshev multidomain method for compressible flows. J. Comput. Phys. 125 (1), 244-261. (Pubitemid 126170596)
20. Kovasznay, L. S. G. 1949 Hot-wire investigation of the wake behind cylinders at low Reynolds numbers. Proc. R. Soc. Lond. A 198, 174-190.
21. Lecointe, Y. & Piquet, J. 1984 On the use of several compact methods for the study of unsteady incompressible viscous flow round a circular cylinder. Comput Fluids 12, 255-280. (Pubitemid 15463664)
22. Liang, C., Jameson, A. & Wang, Z. J. 2009a Spectral difference method for two-dimensional compressible flow on unstructured grids with mixed elements. J. Comput. Phys. 228, 2847-2858.
23. Liang, C., Premasuthan, S. & Jameson, A. 2009b High-order accurate simulation of flow past two side-by-side cylinders with spectral difference method. J. Comput. Struct. 87, 812-817.
24. Liang, C., Premasuthan, S., Jameson, A. & Wang, Z. J. 2009c Large eddy simulation of compressible turbulent channel flow with spectral difference method. AIAA Paper 2009-402, 47th AIAA Aerospace Sciences Meeting, 5-8 January 2009, Orlando, FL.
25. Liu, C., Zheng, X. & Sung, C. H. 1998 Preconditioned multigrid methods for unsteady incompressible flows. J. Comput. Phys. 139, 35-57. (Pubitemid 128440547)
26. Liu, Y., Vinokur, M. & Wang, Z. J. 2006 Spectral difference method for unstructured grids. Part I: Basic formulation. J. Comput. Phys. 216, 780-801. (Pubitemid 43792910)
27. Miller, G. D. & Williamson, C. H. K. 1994 Control of three-dimensional phase dynamics in a cylinder wake. Exp. Fluids 18, 26-35.
28. Mittal, S. & Kumar, B. 2003 Flow past a rotating cylinder. J. Fluid Mech. 476, 303-334. (Pubitemid 36374789)
29. Mohammad, A. H., Wang, Z. J. & Liang, C. 2008 LES of turbulent flow past a cylinder using spectral difference method. AIAA Paper 2008-7184. 26th AIAA Applied Aerodynamics Meeting, 18-21 August 2008, Honolulu, HI.
30. Ou, K., Liang, C., Premasuthan, S. & Jameson, A. 2009 High-order spectral difference simulation of laminar compressible flow over two counter-rotating cylinders. AIAA Paper 2009-3956, 27th AIAA Applied Aerodynamics Conference, 22-25 June 2009, San Antonio, TX
31. Park, J., Kwon, K. & Choi, H. 1998 Numerical solutions of flow past a circular cylinder at Reynolds numbers up to 160. KSME Intl J. 12, 1200-1205. (Pubitemid 128683976)
32. Peschard, I. & Le Gal, P. 1996 Coupled wakes of cylinders. Phys. Rev. Lett. 77, 3122-3125. (Pubitemid 126624221)
33. Prandtl, L. & Tietjens, O. G. 1934 Applied Hydro-and Aeromechanics, Dover edn. 1957. Dover Publications.
34. Premasuthan, S., Liang, C., Jameson, A. & Wang, Z. J. 2009 A P-multigrid spectral difference method for viscous flow. AIAA Paper 2009-950, 47th AIAA Aerospace Sciences Meeting, 5-8 January 2009, Orlando, FL.
35. Raffel, M., Willert, C., Wereley, S. & Kompenhans, J. 1998 Particle Image Velocimetry. Springer.
36. Roe, P. L. 1981 Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comput. Phys. 43, 357-372.
37. Rogers, S. E. & Kwak, D. 1990 Upwind differencing scheme for the time-accurate incompressible Navier-Stokes equations. AIAA J. 28, 253-262. (Pubitemid 20646658)
38. Sharman, B., Lien, F. S., Davidson, L. & Norberg, C. 2005 Numerical predictions of low Reynolds number flows over two tandem circular cylinders. Intl J. Numer. Meth. Fluids 47, 423-447. (Pubitemid 40205517)
39. Spiteri, R. J. & Ruuth, S. J. 2002 A new class of optimal high-order strong-stability-preserving time discretization methods. SIAM J. Numer. Anal. 40, 469-491.
40. Sumner, D., Wong, S. S. T., Price, S. J. & Paidoussis, M. P. 1999 Fluid behaviour of side-by-side circular cylinders in steady cross-flow. J. Fluids Struct. 13, 309-338. (Pubitemid 129498945)
41. Wang, Z. J., Liu, Y., May, G. & Jameson, A. 2007 Spectral difference method for unstructured grids. Part II: Extension to the Euler equations. J. Sci. Comput. 32 (1), 45-71. (Pubitemid 46981135)
42. Whittlesey, R. W., Liska, S. & Dabiri, J. O. 2010 Fish schooling as a basis for vertical axis wind turbine farm design Bioinsp. Biomim. 5, 035005(1-6).
43. Williamson, C. H. K. 1985 Evolution of a single wake behind a pair of bluff bodies. J. Fluid Mech. 159, 1-18. (Pubitemid 15607357)
44. Williamson, C. H. K. 1989 Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers. J. Fluid Mech. 206, 579-627. (Pubitemid 20597242)
45. Williamson, C. H. K. & Roshko, A. 1990 Measurements of base pressure in the wake of a cylinder at low Reynolds numbers. Z. Flugwiss. Weltraumforsch 14, 38-46.
46. Williamson, C. H. K. 1996 Vortex dynamics in the cylinder wake. Annu. Rev. Fluid Mech. 28, 477-539.
47. Xu, S. J., Zhou, Y. & So, R. M. C. 2003 Reynolds number effects on the flow structure behind two side-by-side cylinders. Phys. Fluids 15, 1214.
48. Yoon, H. S., Kim, J. H., Chun, H. H. & Choi, H. J. 2007 Laminar flow past two rotating cylinders in a side-by-side arrangement. Phys. Fluids 19, 128103-1-128103-4.