Prediction of the critical Reynolds number for flow past a circular cylinder

Computer Methods in Applied Mechanics and Engineering

Volumn 195, Issue 44-47, 2006, Pages 6046-6058

  Kumar, Bhaskar ^a   Mittal, Sanjay ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

Blockage; Circular cylinder; Direct time integration; Finite element method; Hopf bifurcation; Linear stability analysis

Indexed keywords

CYLINDERS (SHAPES); EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; INTEGRATION; WAKES;

BLOCKAGE; CIRCULAR CYLINDER; DIRECT TIME INTEGRATION; HOPF BIFURCATION; LINEAR STABILITY ANALYSIS;

REYNOLDS NUMBER;

CYLINDERS (SHAPES); EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; INTEGRATION; REYNOLDS NUMBER; WAKES;

EID: 33745934622     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.10.009     Document Type: Article

References (28)

1. Behr M., Hastreiter D., Mittal S., and Tezduyar T.E. Incompressible flow past a circular cylinder: Dependence of the computed flow field on the location of the lateral boundaries. Comput. Meth. Appl. Mech. Engrg. 123 (1995) 309-316
2. Berger E., and Wille R. Periodic flow phenomena. Ann. Rev. Fluid Mech. 4 (1972) 313-340
3. Coutanceau M., and Bouard R. Experimental determination of the main features of the viscous flow in the wake of a circular cylinder in uniform translation. Part 1. Steady flow. J. Fluid Mech. 79 (1977) 231
4. Coutanceau M., and Bouard R. Experimental determination of the main features of the viscous flow in the wake of a circular cylinder in uniform translation. Part 2. Unsteady flow. J. Fluid Mech. 79 (1977) 257
5. Ding Y., and Kawahara M. Three dimensional linear stability analysis of incompressible viscous flows using the finite element method. Int. J. Numer Meth. Fluids 31 (1999) 451-479
6. Fornberg B. A numerical study of steady viscous flow past a circular cylinder. J Fluid Mech. 98 (1980) 819-855
7. Gresho P.M., Chan S.T., Lee R.L., and Upson C.D. A modified finite element method for solving the time-dependent incompressible Navier-Stokes equations. Part 2 Applications. Int. J. Numer. Meth. Fluids 4 (1984) 619
8. Jackson C.P. A finite-element study of the onset of vortex shedding in flow past variously shaped bodies. J. Fluid Mech. 182 (1987) 23-45
9. Meyer A. Modern Algorithms for Large Sparse Eigenvalue Problems (1987), Akademie-Verlag, Berlin
10. Mittal S. On the performance of high aspect-ratio elements for incompressible flows. Comput. Meth. Appl. Mech. Engrg. 188 (2000) 269-287
11. Mittal S., and Kumar B. Flow past a rotating cylinder. J. Fluid Mech. 476 (2003) 303-334
12. Morzynski M., Afanasiev K., and Thiele F. Solution of the eigenvalue problems resulting from global non-parallel flow stability analysis. Comput. Meth. Appl. Mech. Engrg. 169 (1999) 161-176
13. Morzynski M., and Thiele F. Numerical stability analysis of a flow about a cylinder. Z. Angew. Math. Mech. 71 (1991) T424-T428
14. Norberg C. An experimental investigation of the flow around a circular cylinder: influence of aspect ratio. J. Fluid Mech. 258 (1994) 287-316
15. Norberg C. Flow around a circular cylinder: aspects of fluctuating lift. J. Fluids Struct. 15 (2001) 459-469
16. Posdziech O., and Grundmann R. Numerical simulation of the flow around an infinitely long circular cylinder in the transition regime. Theoret. Comput. Fluid Mech. 15 (2001) 121-141
17. A. Roshko, On the development of turbulent wakes from vortex streets, Technical Report 1191, NACA, 1954.
18. Roshko A. Perspectives on bluff body aerodynamics. J. Wind Engrg. Ind. Aerodyn. 49 (1993) 79-100
19. Saad Y., and Schultz M. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Scientific Statist. Comput. 7 (1986) 856-869
20. Sahin M., and Owens R.G. A numerical investigation of wall effects up to high blockage ratios on two-dimensional flow past a confined circular cylinder. Phys. Fluids 16 5 (2004) 1305-1320
21. Shair F.H., Grove A.S., Petersen E.E., and Archivos A. The effect of confining walls on the stability of the steady wake behind a circular cylinder. J. Fluid Mech. 17 (1963) 546-550
22. Stewart G.W. Methods of simultaneous iteration for calculating eigenvectors of matrices. In: Miller J.H.H. (Ed). Topics in Numerical Analysis II (1975), Academic 169-185
23. Stewart G.W. Simultaneous iteration for computing invariant subspaces of nonhermitian matrices. Numer. Math. 25 (1976) 123-136
24. Tezduyar T.E., Mittal S., Ray S.E., and Shih R. Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements. Comput. Meth. Appl. Mech. Engrg. 95 (1992) 221-242
25. Wilkinson J.H. The Algebraic Eigenvalue Problem (1965), Clarendon Press, Oxford
26. Williamson C.H.K. Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers. J. Fluid Mech. 206 (1989) 579-627
27. Williamson C.H.K. Vortex dynamics in the cylinder wake. Ann. Rev. Fluid Mech. 28 (1996) 477-539
28. Zebib A. Stability of viscous flow past a circular cylinder. J. Engrg. Math. 21 (1987) 155-165