Adjoint analysis of the flow over a forward-facing step

Theoretical and Computational Fluid Dynamics

Volumn 23, Issue 1, 2009, Pages 37-54

  Marino, L ^a   Luchini, P ^b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b UNIVERSITY OF SALERNO   (Italy)

Author keywords

Adjoint analysis; Linear stability

Indexed keywords

ADJOINT ANALYSIS; BASE FLOWS; CRITICAL REYNOLDS NUMBERS; EXTERNAL DISTURBANCES; GLOBAL INSTABILITIES; LINEAR STABILITY;

GROUNDWATER FLOW; REYNOLDS NUMBER;

INCOMPRESSIBLE FLOW;

BASEFLOW; INCOMPRESSIBLE FLOW; REYNOLDS NUMBER; SHEAR FLOW;

EID: 62249214970     PISSN: 09354964     EISSN: 14322250     Source Type: Journal    
DOI: 10.1007/s00162-008-0090-5     Document Type: Article

References (24)

1. V.V. Theofilis 2003 Advances in global linear instability analysis of nonparallel and three-dimensional flow Prog. Aerosp. Sci. 39 249 315
2. Pollard, A., Wakarani, N., Shaw, J.: Genesis and morphology of erosional shapes associated with turbulent flow over a forward-facing step. In: Ashworth, P.J., Bennet, S.J., BEst, J.L., McLelland S.J. (eds.) Coherent Flow Structures in Open Channels. Wiley, New York (1996)
3. R.W. Mei A. Plotkin 1986 Navier-Stokes solutions for laminar incompressible flows in forward-facing step geometries AIAA J. 24 N.7 1106 1111
4. K. Chiba R. Ishida K. Nakamura 1995 Mechanism for entry flow instability through a forward-facing step channel J. Non-Newton. Fluid Mech. 57 271 282
5. H. Stüer A. Gyr W. Kinzelbach 1999 Laminar separation on forward-facing step Eur. J. Mech. B Fluids 18 675 692
6. Stüer, H.: Investigation of separation on a forward-facing step. PhD Thesis 13132, ETH, Zürich (1999)
7. D. Wilhelm C. Härtel L. Kleiser 2003 Computational analysis of the two-dimensional-three-dimensional transition in forward-facing step flow J. Fluid Mech. 489 1 27
8. P. Huerre P.A. Monkewitz 1990 Local and global instabilities in spatially developing flows Ann. Rev. Fluid Mech. 22 473 537
9. D. Barkley G. Gomes R.D. Henderson 2002 Three-dimensional instability in flow over a backward facing step J. Fluid Mech. 473 167 190
10. V. Theofilis 2000 On the spatial structure of global linear instability and their experimental identification Aerosp. Sci. Technol. 4 249 262
11. J.-M. Chomaz 2005 Global instabilities in spatially developing flows: non-normality and nonlinearity Ann. Rev. Fluid Mech. 156 209 240
12. F. Giannetti P. Luchini 2007 Structural sensitivity of the cylinder Wake's first instability J. Fluid Mech. 581 167 197
13. A. Bottaro P. Corbett P. Luchini 2003 The effect of base flow variation on flow stability J. Fluid Mech. 476 293 302
14. Golub G.H., Van Loan C.F.: Matrix Computations. Johns Hopkins University Press, Baltimore (1989)
15. Morse, P.M., Feshback, H.: Methods of theoretical physics. In: This class of local structural perturbations is important because it corresponds physically to analysing the effect of objects of very small size. McGraw-Hill, New York (1953)
16. Courant, R., Hilbert, D.: Methods of mathematical physics, interscience (1962)
17. H. Salwen C.E. Grosch 1981 The continuum spectrum of the orr-sommerfeld equation. Part2. Eigenfunction expansions J. Fluid Mech. 104 445 465
18. A.M. Tumin A.V. Fedorov 1984 Excitation of instability waves by a vibrator localized in the boundary layer J. Appl. Mech. Tech. Phys. 25 867 873
19. D.C. Hill 1995 Adjoint systems and their role in the receptivity problem for boundary layers J. Fluid Mech. 292 183 204
20. Hill, D.C.: A theoretical approach for analyzing the re-stabilization of Wakes. AIAA paper 92-0067 (1992)
21. S.C. Reddy P. Shmidt D.S. Henningson 1993 Pseudospectra of the Orr-Sommerfeld operator SIAM J. Appl. Math. 54 N.1 15 47
22. P. Shmidt D.S Henningson M.R. Khorrami M.R. Malik 1993 A study of eigenvalues sensitivity for hydrodynamic stability operators Theoret. Comput. Fluid Dyn. 4 227 240
23. L.N. Trefethen A.E. Trefethen S.C. Reddy T.A. Driscoll 1993 Hydrodynamic stability without eigenvalues Science 261 578 584
24. Kato T.: Perturbation Theory for Linear Operator. Springer, Heidelberg (1966)