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Stability and Transition in Shear Flows
- P. Schmid, D. Henningson
- Physics
- 28 December 2000
1 Introduction and General Results.- 1.1 Introduction.- 1.2 Nonlinear Disturbance Equations.- 1.3 Definition of Stability and Critical Reynolds Numbers.- 1.3.1 Definition of Stability.- 1.3.2…
Spectral analysis of nonlinear flows
- C. Rowley, I. Mezić, S. Bagheri, P. Schlatter, D. Henningson
- MathematicsJournal of Fluid Mechanics
- 18 November 2009
We present a technique for describing the global behaviour of complex nonlinear flows by decomposing the flow into modes determined from spectral analysis of the Koopman operator, an…
Optimal disturbances and bypass transition in boundary layers
- P. Andersson, M. Berggren, D. Henningson
- Physics, Environmental Science
- 1999
Streamwise streaks are ubiquitous in transitional boundary layers, particularly when subjected to high levels of free-stream turbulence. Using the steady boundary-layer approximation, the upstream…
Energy growth in viscous channel flows
- S. C. Reddy, D. Henningson
- MathematicsJournal of Fluid Mechanics
- 1 July 1993
In recent work it has been shown that there can be substantial transient growth in the energy of small perturbations to plane Poiseuille and Couette flows if the Reynolds number is below the critical…
Steady solutions of the Navier-Stokes equations by selective frequency damping
- Espen Åkervik, L. Brandt, D. Henningson, J. Hœpffner, O. Marxen, P. Schlatter
- Physics
- 14 June 2006
A new method, enabling the computation of steady solutions of the Navier-Stokes equations in globally unstable configurations, is presented. We show that it is possible to reach a steady state by…
Transition in boundary layers subject to free-stream turbulence
- L. Brandt, P. Schlatter, D. Henningson
- Physics, Environmental ScienceJournal of Fluid Mechanics
- 25 September 2004
The effect of high levels of free-stream turbulence on the transition in a Blasius boundary layer is studied by means of direct numerical simulations, where a synthetic turbulent inflow is obtained…
Optimal energy density growth in Hagen–Poiseuille flow
- P. Schmid, D. Henningson
- PhysicsJournal of Fluid Mechanics
- 1 October 1994
Linear stability of incompressible flow in a circular pipe is considered. Use is made of a vector function formulation involving the radial velocity and radial vorticity only. Asymptotic as well as…
On stability of streamwise streaks and transition thresholds in plane channel flows
- S. C. Reddy, P. Schmid, J. Baggett, D. Henningson
- PhysicsJournal of Fluid Mechanics
- 25 June 1998
Streak breakdown caused by a spanwise inflectional instability is one phase of the following transition scenarios, which occur in plane Poiseuille and Couette flow. The streamwise vortex scenario is…
Direct numerical simulation of a separated turbulent boundary layer
- M. Skote, D. Henningson
- Physics, EngineeringJournal of Fluid Mechanics
- 5 November 2002
Direct numerical simulation of two turbulent boundary layer flows has been performed. The boundary layers are both subject to a strong adverse pressure gradient. In one case a separation bubble is…
On the breakdown of boundary layer streaks
- P. Andersson, L. Brandt, A. Bottaro, D. Henningson
- Physics, EngineeringJournal of Fluid Mechanics
- 10 February 2001
A scenario of transition to turbulence likely to occur during the development of natural disturbances in a flat-plate boundary layer is studied. The perturbations at the leading edge of the flat…
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