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Project description

Boundary layer transition - Theory and DNS

Research area: Fluid mechanics
Project members:
Berlin ,S.
Brandt,L.B.
Henningson,D.S.H.
Hildings ,C.
Sponsor: FOI   VR  

Project description

This project involves research to determine the maximum growth possible of disturbances evolving according to linear theory, as well as to investigate the importance of this growth when non-linearity comes into play. Several shear flow types have been considered. The results show that non-modal growth, i.e. growth not associated with individual eigenmodes but inherently dependent on their superposition, can cause large transient amplification. This growth is mainly associated with streaky structures in the streamwise direction. Non-linear calculations have shown that when the optimal disturbances from linear theory are used as initial conditions, the threshold amplitudes required for transition to turbulence is lower than for general disturbances. Recent calculations have also shown that these results carry over into the spatial development of disturbances in boundary layers. Another part of the project involves direct numerical simulations (DNS) of transition to turbulence where these transient growth mechanisms play a major role. This bypass of the traditional Tollmien-Schlichting instability waves is involved in many shear flow transition scenarios. Previously transition associated with localized disturbances have been investigated, and at present the transition in boundary layers starting with a pair of oblique waves is investigated. These waves generate elongated streakss in the streamwise velocity which rapidly grow due to the non-modal mechanism. The secondary instability of these streaks has also been studied, both using DNS and secondary instability theory. A new direction in the project is to simulate transition in a boundary layer subjected to free-stream turbulence, where the turbulence is initiated close to the leading edge by a random distribution of continuous spectrum modes.

Related articles published in journals or conference proceedings

Year Title
2003
On the convectively unstable nature of optimal streaks in boundary layers
J. Fluid Mech.  221-242
2002
Weakly nonlinear analysis of boundary layer receptivity to free-stream disturbances
Phys. Fluids  1426-1441
2002
Transition of streamwise streaks in zero presure gradient boundary layers
J. Fluid Mech.  229-262
2001
On the breakdown of boundary layer streaks
J. Fluid Mech.  29-60
2001
Stability and transition in shear flows
Springer  
2001
A numerical and experimental study of a transitional separation bubble
Aerospace Science and Technology  317-328
2000
Direct numerical simulations of growth and breakdown of streamwise streaks in flat-plate boundary layer
Proc. 5th Congress Italian Society for Applied and Industrial Mathematics  610-613
2000
Secondary instability of streaks in boundary layers
Advances in Turbulence VIII. (2000) Proc. 8th European Turbulence Conference, Barcelona, Spain  141-144
1999
Optimal Disturbances and Bypass Transition in Boundary Layers
Phys. Fluids  134-150
1999
Numerical and Experimental Investigations of Oblique Boundary Layer Transition.
J. Fluid Mech.  23-57
1999
A nonlinear mechanism for receptivity of free-stream disturbances.
Phys. Fluids  3747-3760
1998
Linear and non-linear development of localized disturbances in zero and adverse pressure gradient boundary-layers.
Phys. Fluids  1405-1418
1998
The Compressible Inviscid Algebraic Instability for Streamwise Independent Disturbances.
Phys. Fluids  1784-1786
1998
Secondary instability of cross-flow vortices in Falkner-Skan-Coke boundary layers.
J. Fluid Mech.  339-357
1998
On stability of streamwise streaks and transition thresholds in plane channel flows.
J. Fluid Mech.  269-303
1996
Transient growth in compressible boundary layer flow.
Phys. Fluids  826-837
1996
Comment on "Transition in shear flows. Nonlinear normality versus non-normal linearity"
Phys. Fluids  2257-2258
1996
Transition Thresholds in boundary layer and channel flows.
Advances in Turbulence VI (Ed. Gavrilakis, S., Machiels, L., Monkewitz, P.A.), Kluwer Academic Publishers  381-384
1995
Spatial simulations of oblique transition in a boundary layer.
Advances in Turbulence V (Ed. Benzi, R.), Kluwer  31-35
1995
Bypass transition and linear growth mechanics.
Advances in Turbulence V (Ed. Benzi, R.), Kluwer  190-204
1995
Spatial simulations of bypass transition in boundary layers.
Laminar-Turbulent Transition (Ed. Kobayashi, R.), Springer  263-270
1994
Bounds for threshold amplitudes in subcritical shear flows
J. Fluid Mech.  175-198

Internal reports

Year Title
1999 An efficient spectral method for simulation of incompressible flow over a flat plate.
1998 Oblique waves in boundary layer transition
1998 Control of oblique transition by flow oscillations
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Last changed: 2006-08-24