Global linear stability analysis of time-averaged flows

International Journal for Numerical Methods in Fluids

Volumn 58, Issue 1, 2008, Pages 111-118

  Mittal, Sanjay ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

Circular cylinder; Finite element method; Linear stability analysis; Reynolds averaged Navier Stokes equations

Indexed keywords

COMPUTER SIMULATION; DIRECT NUMERICAL SIMULATION; FLOW SIMULATION; OPTICAL BISTABILITY; REYNOLDS NUMBER; RHENIUM; VORTEX FLOW; VORTEX SHEDDING;

CIRCULAR CYLINDER; DIRECT NUMERICAL SIMULATIONS; FINITE ELEMENT METHOD; FLOW PAST A CYLINDER; LINEAR STABILITY; LINEAR STABILITY ANALYSIS (LSA); NON-DIMENSIONAL FREQUENCY; REYNOLDS; REYNOLDS AVERAGED NAVIER-STOKES EQUATIONS; TIME-AVERAGED; TIME-AVERAGED FLOW; VORTEX SHEDDING FREQUENCIES;

LINEAR STABILITY ANALYSIS;

EID: 46349088531     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1714     Document Type: Article

References (17)

1. Drazin PG, Reid WH. Hydrodynamic Stability. Cambridge University Press: Cambridge, 1981.
2. Cliffe KA, Winters KH, Jackson CP. The Prediction of Instabilities Using Bifurcation Theory. Wiley: New York, 1986.
3. Jackson CP. A finite-element study of the onset of vortex shedding in flow past variously shaped bodies. Journal of Fluid Mechanics 1987; 182:23-45.
4. Morzynski M, Thiele F. Numerical stability analysis of a flow about a cylinder. Zeitschrift fuer Angewandte Mathematik and Mechanik 1991; 71:T424-T428.
5. Morzynski M, Afanasiev K, Thiele F. Solution of the eigenvalue problems resulting from global non-parallel flow stability analysis. Computer Methods in Applied Mechanics and Engineering 1999; 169:161-176.
6. Ding Y, Kawahara M. Three dimensional linear stability analysis of incompressible viscous flows using the finite element method. International Journal for Numerical Methods in Fluids 1999; 31:451-479.
7. Mittal S, Kumar B. Flow past a rotating cylinder. Journal of Fluid Mechanics 2003; 476:303-334.
8. Williamson CHK. Vortex dynamics in the cylinder wake. Annual Review of Fluid Mechanics 1996; 28:477-539.
9. Kumar B, Mittal S. Effect of blockage on critical parameters for flow past a circular cylinder. International Journal for Numerical Methods in Fluids 2006; 50:987-1001.
10. Noack BR, Afanasiev K, Morzynski M, Tadmor G, Thiele F. A hierarchy of low-dimensional models for the transient and post-transient cylinder wake. Journal of Fluid Mechanics 2003; 497:335-363.
11. Tezduyar TE, Mittal S, Ray SE, Shih R. Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements. Computer Methods in Applied Mechanics and Engineering 1992; 95:221-242.
12. Kumar R, Mittal S. Prediction of the critical Reynolds number for flow past a circular cylinder. Computer Methods in Applied Mechanics and Engineering 2006; 195:6046-6058.
13. Saad Y, Schultz M. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM Journal on Scientific and Statistical Computing 1986; 7:856-869.
14. Stewart GW. Methods of simultaneous iteration for calculating eigenvectors of matrices. In Topics in Numerical Analysis, vol. II, Miller JHH (ed.). Academic Press: New York, 1975; 169-185.
15. Kravchenko, AG, Moin P, Shariff K. B-Spline method and zonal grids for simulations of complex turbulent flows. Journal of Computational Physics 1999; 151:757-789.
16. Persillon H, Braza M. Physical analysis of the transition to turbulence in the wake of a circular cylinder by three-dimensional Navier-Stokes simulation. Journal of Fluid Mechanics 1998; 365:23-88.
17. Williamson CHK. Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers. Journal of Fluid Mechanics 1989; 206:579-627.